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WIND TURBINE SITE SELECTION IN INDONESIA
BY
GALIH PAMBUDI
A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE
REQUIREMENTS FOR THE DEGREE OF MASTER OF
ENGINEERING (LOGISTICS AND SUPPLY CHAIN SYSTEMS
ENGINEERING)
SIRINDHORN INTERNATIONAL INSTITUTE OF TECHNOLOGY
THAMMASAT UNIVERSITY
ACADEMIC YEAR 2018
WIND TURBINE SITE SELECTION IN INDONESIA
BY
GALIH PAMBUDI
A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE
REQUIREMENTS FOR THE DEGREE OF MASTER OF
ENGINEERING (LOGISTICS AND SUPPLY CHAIN SYSTEMS
ENGINEERING)
SIRINDHORN INTERNATIONAL INSTITUTE OF TECHNOLOGY
THAMMASAT UNIVERSITY
ACADEMIC YEAR 2018
i
WIND TURBINE SITE SELECTION IN INDONESIA
A Thesis Presented
By
GALIH PAMBUDI
Submitted to
Sirindhorn International Institute of Technology
Thammasat University
In partial fulfillment of the requirements for the degree of
MASTER OF ENGINEERING (LOGISTICS AND SUPPLY CHAIN SYSTEMS
ENGINEERING)
Approved as to style and content by
Advisor
(Asst. Prof. Dr. Narameth Nananukul)
Committee Member and
Chairperson of Examination Committee
(Asst. Prof. Dr. Morrakot Raweewan)
Committee Member
(Assoc. Prof. Dr. Thananya Wasusri)
NOVEMBER 2018
ii
Acknowledgements
The author gratefully acknowledges the financial support provided by the Excellent
Foreign Student Scholarship (EFS) for Graduate Student in Sirindhorn International
Institute of Technology, Thammasat University.
iii
Abstract
WIND TURBINE SITE SELECTION IN INDONESIA
by
GALIH PAMBUDI
Bachelor of Engineering, Universitas Gadjah Mada, 2016
Master of Engineering, Sirindhorn International Institute of Technology, 2018
Wind farm sites are selected in spacious regions which have more output potential
within constraint resources. Due to its spacious terrain, Indonesia has great potential
for building wind power plants, providing the perfect settings to generate electricity
using wind energy. Keeping in view the reliability and sustainability of wind farm sites,
the selection of the most suitable locations for optimal result is of prime concern to
generate greater amount of energy with less utilization of resources. In this study, the
focus is on proposing a multi-criterion approach to find the most suitable location for
building wind farms. Locations from every region of Indonesia were selected based on
two levels defined by district level to province level. All districts and provinces are
considered as Decision-Making Units (DMUs) which are used to measure the
efficiency scores using Dual Data Envelopment Analysis (DDEA) method. Two levels
are defined to find the best feasible locations within Indonesia from 165 districts and
33 provinces with major focus on geographical and structural technicality of each
DMU. The results show that South Sumatra province has the highest priority potential
for the construction of wind power plants, especially in the district of Palembang. West
Papua, Papua and Maluku provinces have descending priority based on good
infrastructure accessibility and less prone to natural disaster.
Keywords: Dual data envelopment analysis, Wind Power Plant, Site Selection,
Decision Making Unit.
iv
Table of Contents
Chapter Title
Page
Signature Page
i
Acknowledgements
ii
Abstract
iii
Table of Contents
iv
List of Tables
vi
List of Figures
vii
1 Introduction
1
1.1 Background of Propose Study
1
1.2 Problem Statement
2
1.3 Objectives of Propose Study
2
1.4 The Advantages of Propose Study
3
2 Literature Review
4
2.1 Literature Review
4
2.2 Research Gap
7
3 Research Methodology
8
3.1 Possible Factors
8
3.1.1 Level 1 criteria
8
3.1.2 Level 2 criteria
15
3.2 Methodology
18
3.2.1 Dual Data Envelopment Analysis
19
3.2.2 The Hierarchical Model for two Level DDEA
20
3.2.3 Fuzzy Primary Data Envelopment Analysis
21
v
3.2.4 Principal Component Analysis
23
4 Results and Discussion
27
4.1. Data Envelopment Analysis Results
27
4.2 The Hierarchical Model for two Level DDEA Results
32
4.3 Fuzzy Primary Data Envelopment Analysis Results
34
4.4 Principle Component Analysis Results
40
4.5 Comparison of Three Methods Result
50
5 Conclusions and Recommendations
53
5.1 Conclusion
53
5.2. Recommendations
54
References
55
Appendices
57
Appendix A Data Resources
58
A.1 Districts Level Data
58
A.2 Provinces Level Data
60
Appendix B General Optimization Model in IBM ILOG CPLEX
61
B.1 Model on Districts Level
62
B.2 Model on Provinces Level
63
vi
List of Tables
Tables
Page
2.1 The summary of case study
5
2.2 Summarizes the relevant criteria in the wind farm site selection
5
2.3 Summarizes the relevant methods in the wind farm site selection
6
3.1 Comparison of the land requirement in different power plant [16]
9
3.2 Cost analyst for 1 m length of road infrastructure
13
3.3 Wind class definitions [17]
18
4.1 Efficiency and ranking of provinces (Level 2)
27
4.2 Efficiency score of districts (Level 1)
28
4.3 Detail of hierarchical score for provinces level
31
4.4 Hierarchical score for five dominant provinces
33
4.5 Importance degree and context free grammar on HFLTS
34
4.6 Pairwise evaluations of one expert in main criteria on level 1
35
4.7 Obtained envelops for HFLTS
35
4.8 Pessimistic and optimistic preference in district level
36
4.9 The linguistic interval, interval utilities, midpoint and weights
37
4.10 Pessimistic and optimistic preference in province level
37
4.11 The constraint of the priorities for district level
38
4.12 The constraint of the priorities for province level
38
4.13 Hierarchical Score for HFLTS
39
4.14 Principal Component Analysis Results
50
4.15 Comparison of three methods result.
51
vii
List of Figures
Figures
Page
3.1 Maps of provinces in Indonesia
8
3.2 Land cost of districts in Indonesia
9
3.3 Types of road infrastructure
10
3.4 Types of road infrastructure in Medan North Sumatra
11
3.5 Distance of the primary and secondary road infrastructures in Medan
11
3.6 Total cost of infrastructure data
12
3.7 Data of population in districts
14
3.8 Ratio of usage area
14
3.9 Data of electricity consumption in Indonesia’s Provinces
15
3.10 Data of natural disaster in provinces
16
3.11 Gravity loading; a. full blade; b. spar-only simplification
17
3.12 Blade loading cases; a. edgewise bending; b. flap-wise bending
17
3.13 Data of wind velocity in provinces of Indonesia
17
3.14 Data of total area in provinces in Indonesia
18
3.15 Flow Chart of the Proposed Study
19
3.16 Extraction of Factor analysis in district level
24
3.17 Scree Plot of district level
24
3.18 Extraction Box
25
3.19 Descriptive Box
25
3.20 Rotation Box
26
3.21 Options Box
26
4.1 Hierarchical Score
31
4.2 Correlation matrix on district level
40
4.3 KMO and Bartlett’s Test on district level
41
4.4 Communalities on level 1
41
4.5 Total variance on district level
42
4.6 Component matrix on district level
43
4.7 Pattern matrix on district level
43
4.8 Structure matrix on level 1
44
viii
4.9 Scree plot for level 2
45
4.10 KMO and Bartlett’s Test for Level 2
45
4.11 Correlation matrix on level 2
46
4.12 Communalities on level 2
46
4.13 Total variance on level 2
47
4.14 Component matrix on level 2
47
4.15 Pattern matrix on level 2
48
4.16 Structure matrix on level 2
48
4.17 Component correlation matrix on level 2
49
4.18 Top five Provinces in Indonesia
52
5.1 Full Score of Three Methods
54
1
Chapter 1
Introduction
The propose study in the first chapter are divided into four sections. Section 1.1
gives background of the proposed study and show the importance of the research study.
Section 1.2 contains details of problem statement of proposed study to define the issue
of the research. Section 1.3 gives the objective of proposed study presents the
framework of this study. Section. Section 1.4 The advantages of the proposed study
provide the benefit of the study to apply in the research area.
1.1 Background
Natural energy resources such as wind energy is renewable, and is freely
available which could lead to the sustainability of energy usage. Selecting the most
suitable sites which have the optimal wind energy resource is a complicated decision-
making process. It is considered as primary concern based on the sustainability and
reliability aspects. The selection of the optimal locations is very important including
several factors the topography of the area and the usage of the decision support models
could fulfill the requisites and shows the optimal outcome. It means modelling,
formulation and determining solution of the site problem that can be implemented in
establishing facilities in the selected area. Different literatures show that there are
different approaches for selecting the optimal location for wind power plant site, as
follows Haydar et al. [1] defining the optimal area in university for a station of wind
observation based on Analytical Hierarchy Process (AHP) approach. Bhatnagar et al.
[2] the establishment of gas stations and power plants using location factor as multi-
criteria. Afshartous et al. [3] to determine the location of the coast guard air station
based on Improved Optimization Model. Gamboa et al. [4] determining wind plant site
selection as a multi-criterion used social framework. Choudhary et al. [5] determined
site selection of thermal power plant based on Fuzzy DEA. As it is evident from the
previous studies, the site selection is of prime concern for establishing a facility at some
place. It needs multitude factors to be considered, making the decision hard and
required complex modeling. In this study, the method based on Dual Data Envelopment
2
Analysis (DEA) approach with multi-criteria is used as site selection mechanism for
wind power plants construction within Indonesia. In Indonesia the energy demand is
growing dramatically than population. At present, Indonesia have six main types of
power plant use gas, steam turbines, combined cycle, geothermal, diesel engine, and
hydro-power where fossil fuel is the major energy generation [6]. In this decades, for
genererating the electricity in Indonesia, the resources up to 96% using fossil fuel and
just 4% uses renewable energy. Hence, the government policy targets a portion of
renewable energy resources to be increased up to 17% in 2025 [7]. The current energy
policy in Indonesia is central in Fossil fuel. Decreasing of fossil fuel resources and
growing environmental concerns are challanging viewpoint in Indonesia’s energy
policy which leads to the propose of using renewable energy to increase energy
efficiency [8]. Indonesia as a archipelago country, having huge potential for wind
power generation because of high wind rate in most of the regions. The criteria of wind
turbine site selection should be selected carefully before making decisions.
1.2 Problem Statement
Determining the potential of using the wind power in the possible region is
important. In spite of the comprehensiveness in location considered for the optimization
of wind power plants, the criteria and the method for the site selection that will be used
to compare the potential of the region must be carefully selected. Location problem
includes simulation, formulation and model in establish the facility in every region
which is likely to have multiple factors and is difficult for the analysis. The quantitative
approach must be used to determine the suitable locations.
1.2 Objectives of Propose Study
This study considers an integrated mathematical approach for location
optimization of wind plants. Determining all criteria that significantly influences the
establishment of a wind farm in Indonesia is important. The implementation of the
proposed approach to decide the most suitable location for building of a wind power
plant in Indonesia is based on a Dual Data Envelopment Analysis (DEA) for wind farm
power plant.
3
1.4 The Advantages of Propose Study
The advantages of this proposed study hopefully can be used as the alternative
approach to decide site selection, generally in any case and especially in wind plant
power plant. This proposed study can help improve the reseach which have correlation
with location optimization in wind farm location on the other location.
4
Chapter 2
Literature Review
As a consideration of the literature, the proposed study refers several studies
which have been reviewed as a reference. Section 2.1 show the insight of the literature
review. Section 2.2 presents research gap which is used in the proposed study. Herewith
is further description of the research and the comparison of the previous studies.
2.1 Literature Review
Data envelopment analysis (DEA) is for analyzing the performance efficiency
of the comparable units called decision-making units (DMUs) as quantitative method.
Every DMU performs the same purpose by using ratio between input and output criteria
which are characterized by the modeled system [9]. Several references which have used
DEA for site selection such as Ertek et al. [10] for determining the efficiency of on-
shore wind turbines they provided data centric analysis. Saglam, U [11] The goal of
those paper was to evaluate quantitatively efficiencies of 39 states wind power
performance for electricity generation by using multi-criteria methods as DEA. Wu et
al. [12] in China to perform efficiency assessment of wind power plant used based on
two stage of DEA. These studies identified potential inefficicient factors and try to seek
out the factor which can improve the performance of wind farm. Azadeh et al. [9]
provided wind farm site selection under uncertainty using Hierarchical Fuzzy DEA.
Since traditional DDEA models cannot be used to combine the indicators especially in
qualitative data. Sueyoshi et al. [13] proposed an approach improvement as Range
Adjusted Measure (RAM) which is as integrated of DEA. Seiford et al. [14] proposed
the results from multi-stage DEA involved the input and output criteria which are
validated by Numerical Taxonomy and Principal Component Analysi. In this study,
the efficiency of DMUs in the selection of most suitable location for wind farm plant is
based on land cost, road accessibility, infrastructure cost, population density, supply
demand, natural vulnerability, wind velocity and total area. This research proposes a
multi-criterion apporach based on Data Envelopment Analysis (DEA) for analyzing the
most feasible wind farm site selection in Indonesia.
5
According of the literature that have been reviewed, the summary of the case
study is shown in Table 2.1. Table 2.2. lists the criteria which are significant influence
in the site selection of wind farm. Therefore, the methods based on the quantitative
approach that have been used are shown in Table 2.3. Further information shows in the
describe as below:
Table 2.1 The summary of case study
No Author
Year Case Study
1
Saglam, Ümit
[11]
2017 efficiency assessments of 39 state’s wind power location
using A two-stage data envelopment analysis in the United
States
2
Yunna Wu, et
al [12]
2016 Efficiency assessment of wind farms location using two-stage
data envelopment analysis in China
3
Azadeh, Ali et
al [15]
2013 Location optimization of wind power generation systems
under uncertainty using hierarchical fuzzy DEA in Iran
4
Azadeh, Ali et
al [9]
2010 Location optimization of wind plants by an integrated
hierarchical Data Envelopment Analysis in Iran
5
Ertek, Gürdal
et al [10]
2012 Insights into the efficiencies of wind turbines using data
envelopment analysis
Table 2.2. Summarizes the relevant criteria in the wind farm site selection
No Author
Year DMU Input
Output
1
Saglam,
Ümit [11]
2017 39
Total
Project
Investment
($),
Annual Land Lease
Payments ($)
Average
wind
blow,
Wind Industry Employment,
Annual
Water
Savings
(Gallons),
CO2
Emissions
Avoided
(Tons)
2
Yunna Wu,
et al [12]
2016 42
Auxiliary electricity
consumption,
Wind power density
Electricity
generated,
Average wind blow
6
No Author
Year DMU Input
Output
3
Azadeh, Ali
et al [15]
2013 25
Level 1 Land Cost
Level 2 Intensity of
natural
disasters
occurrence,
Level 1 Population and human
labor, Distance of power
distribution networks,
Level 2 Average wind blow,
Quantity of proper geological
areas, Quantity of proper
topographical
areas,
Consumer proximity
4
Azadeh, Ali
et al [9]
2010 25
Level 1 Land Cost
Level 2 Intensity of
natural
disasters
occurrence,
Level 1 Population and human
labor, Distance of power
distribution
networks,
Level 2 Average wind blow,
Quantity of proper geological
areas, Quantity of proper
topographical areas
5
Ertek, Gürdal
et al [10]
2012 74
Diameter of Plant
Nominal
Wind
Speed
Nominal Output (kW)
Table 2.3. Summarizes the relevant methods in the wind farm site selection
No Author
Year
Primary
DEA
PCA NT Tobit
Hypothes
es Testing
1
Saglam, Ümit [11]
2017
v
v
2
Yunna Wu, et al [12]
2016
v
v
3
Azadeh, Ali et al [15]
2013
v
v
v
4
Azadeh, Ali et al [9]
2010
v
v
v
5
Ertek, Gürdal et al [10]
2012
v
v
Where: DEA (Data Envelopment Analysis), PCA (Principal Component Analysis), NT
(Numerical Taxonomy).
7
2.2 Research Gap
The research gap of this proposed study is wind farm site selection in province
of Indonesia using multi-criteria approach based on hierarchical dual Data
Envelopment Analysis (DEA). The integrated data envelopment analysis will be
applied on two levels of DEA, the first level considers finding the best suitable province
in Indonesia and the second level focuses on sub-district within the province based on
the distance from remote areas. The possible factors used in the districts level as defined
by land cost, population in region, ratio of free usage area, primary road, secondary
road, tertiary road, and total cost of infrastructure. In the provinces level as defined by
wind velocity, population in province, total area, electricity consumption, less of land
slide, flood, earthquake and volcanic eruption. Determining the efficiency for districts
and province level based on Hierarchical Dual Data Envelopment Analysis. Hesitant
Fuzzy Linguistic Term Set (HFLTS) for determining the weight for importance criteria.
The validation of the significant criteria based on Principal Component Analysis
(PCA). Finally, comparing three methods for deciding the most suitable location for
wind turbine site selection in Indonesia.
8
Chapter 3
Research Methodology
In this chapter further information about the criteria and methods used in this
proposed study is described. Section 3.1 provides description of the possible factors
which have influence to the wind farm site selection. Section 3.2 presents the methods
which are applied in this proposed study.
3.1 Possible Factors
Based on the literature review, the proposed factors used in this study are
districts (Level 1) and provinces (Level 2) of Indonesia as shown in Figure 3.1. The
integrated model for wind farm site selection organizes the factors into two levels
defined as input and output. The optimization technique is based on Dual Data
Envelopment Analysis method to find the most efficient location. The integrated level
criteria are developed to select the most suitable location in term of province of
Indonesia.
Fig.3.1 Maps of provinces in Indonesia
3.1.1 Level 1 Criteria
The objective of using level 1 criteria is to determine the most suitable province
in Indonesia for establishment of wind farm plant based on the efficiency of the
location. The Level 1 criteria are:
Land cost by districts in Indonesia: the land cost has become an important
criterion due to the unprecedented increase in Indonesian population, which must be
included for site selection. For selecting a wind farm site, it requires more spacious area
9
as compared with other energy sources. Table 3.1 shows the comparison of the amount
of the land required for the construction of each kind of facility [16]. Area required for
wind farm is up to 9900 km
2
/GW/year which is 283 times more than coal plant. Its
means that the land cost is the main important criterion for wind farm site selection.
Figure 3.2 shows the data of land costs in some districts in Indonesia.
Fig.3.2 Land cost of districts in Indonesia
Table 3.1 Comparison of the land requirement in different power plant [16]
Technology
Land use in km2/GW per year
Biomass
25,600
Wind power plant
9,900
Hydroelectric
7,900
Solar PV
630
Coal
35
Oil
20
Natural gas
20
Nuclear
10
The type of road infrastructure: Good road accessibility to the constructed
facility is one of the most importance considered factor for reliable, timely
transportation and distribution of goods to and from the facility. Different road facilities
(i.e., primary, secondary and tertiary roads) have different distribution lead time which
10
can affect the accessibility to the facility. Data of the road infrastructure are shown in
Figure 3.3. Primary and secondary roads are main roads and can be used for the
transportation of heavy goods. On contrary to this, tertiary roads are mostly used as
connectors to the primary and secondary roads such as, small bike roads and village
roads. Hence, for timely distribution of goods to and from the wind farm need the most
effective routes. In this study, primary and secondary road infrastructures are used as a
preference indicator for wind power plant construction.
Fig.3.3 Types of road infrastructure
Relevant data, especially types of road infrastructure within each district in
every province of Indonesia, will be used. Firstly, finding the ArcGIS Maps for every
district from the Ministry of Public Works and Public Housing of Indonesia’s data
representing the infrastructures maps in every region such as types of road as well as
natural resources. By using the ArcGIS, national roads, province roads are defined as
primary road, in the maps are shown as dark red line. The district and regional roads
are considered as secondary road type represented as light red line on the maps. The
tertiary road is one of important criterion which should be careful determined and set,
due to the limited resources in ArcGIS. They can be determined by looking for village
roads or small roads which are less than 3.6 m in width. In here, the types of road
infrastructure by ArcGIS maps and google maps. Fig. 3.4. represents the difference
types of primary roads and secondary roads.
11
Fig.3.4 Types of road infrastructure in Medan North Sumatra
The border point between the primary and secondary roads is used to determine
the distance of the roads. Fig.3.5 shows the distance of primary and secondary roads in
Medan Region. It shows that primary road as the significance distance in Medan City
is 18.6 km and for secondary road is 9.8 km. The distance is based on a spotted location
in remote region which is suitable to establish a wind farm. Due to the good
infrastructure in the main region of Medan, there is no need for tertiary road so this
region just have 0 km of it and do not need to build additional infrastructures.
Fig.3.5 Distance of the primary and secondary road infrastructures in Medan
12
Total cost of infrastructure (IDR): The construction of the infrastructure
requires a lot of capital cost incurred. So, selection of the site with less incurring cost
for building new roads to access the facility is also very much important to avoid extra
expenses thus increasing the overheads of the construction projects. The data in this
study is shown in Figure 3.6 which are the sites selected by the minimum capital cost
for the construction of tertiary roads with the shortest distance. In other words, if in any
case the construction of the infrastructure is inevitable and unavoidable, tertiary roads
are given preference over primary and secondary roads. In our approach we prefer the
construction of tertiary road as compared with secondary road if the width of the
dispatching vehicle is up to 5m. As the average width of the tertiary roads in Indonesia
is up to 3.6m and we included 1.4m to accommodate the convenience of shipment. So,
the minimum cost of infrastructure is another input criterion in DDEA model.
Fig.3.6 Total cost of infrastructure data
The total cost of infrastructure for each region is collected based on Widarno,
B et al (2015). The included components are labors, materials, tools and equipment as
shown on Table 3.2. as cost analyst for each 1 m length of road. As a result, the total
area of 1 m
3
is approximately 150,000 (IDR) (1 USD as 13,994.25 IDR). As an example,
from Fig.3.6. consider one of regions in South Sumatra where the selected region to
build infrastructure is Pagar Alan. In Pagar Alan, there are up to 159.1 km as tertiary
13
road and needed to expand the road for shipping the wind power materials to the
location. The total cost for building tertiary roads in Pagar Alan is 159.1 x 1000 m x
150,000 IDR which is 23,865,000,000 IDR.
Table 3.2 Cost analyst for 1 m
length of road infrastructure
Population by district in Indonesia: for maintenance and operational
technicality in case of emergency the wind power plant should be established in regions
with easily available human resources. It can likely decrease the resources management
for the transportation cost of labors, accommodation of labors and expert availability
when needed. The choice of a centered place with easy accessibility of human resources
is an important output indicator in the DDEA modal calculation. Figure 3.7 shows the
population in districts of Indonesia.
No Component
Dimension
Coefficient
Cost (IDR)
Total cost (IDR)
A
1
Labor
Hour
0.221
7,500
1,651
2
Foreman
Hour
0.0314
12,500
393
B
1
Aggregate B class
1m x 3.6m
1.2
140,000
68,000
C
1
Wheel loader
Hour
0.0314
375,000
11,775
2
Dump truck
Hour
0.1655
150,000
24,825
3
Motor grader
Hour
0.0092
355,000
3,266
4
Vibratory loader
Hour
0.008
316,365
25,310
5
Pneumatic tire loader
Hour
0.0115
345,725
2,976
6
Water tanker
Hour
0.0383
153,240
5,870
7
Assisted tools
Hour
1
D
145,066
Total cost of labor per m
3
Labors
Materials
Equipment and tools
14
Fig.3.7 Data of population in districts
Ratio of free usage area: Areas with greater value of free area usage ratio near
to one are considered more suitable for establishment of the wind power plants. The
free usage area means the ratio between total area divided by population in each region.
The more available land is preferred and used as output in DDEA modal calculation.
Figure 3.8 shows the data of the free usage area ratio.
Fig.3.8 Ratio of free usage area
15
3.1.2 Level 2 Criteria
In the second level, the criterion of DDEA is to find the most appropriate
province in Indonesia for constructing wind power plants based on the geographical
and technical structures as input and output indicators for DDEA modal calculation.
The indicators in this level are mentioned as below:
Electricity consumption: This criterion based on the consumption of the
electricity which have been recorded in every province by Giga Watt per Hour (GW/h)
including general activity of electricity usage which are shown on Figure 3.9.
Fig.3.9 Data of electricity consumption in Indonesia’s Provinces
Natural disaster: The probability occurrence of natural disasters in the region
have significant impact on wind farm site selection. The damage caused by natural
disasters such as flooding, volcanic eruption, earth quakes, and land sliding have
menaces effect on site selection. Figure 3.10. shows the data of natural disasters in
provinces of Indonesia. These disasters may accumulate extra cost of maintenance, thus
increasing the maintenance and operational overheads of wind power plants. Selection
of the safe sites is very core fundamental in decision making for selecting locations for
new facility. These four main parameters (i.e., flooding, volcanic eruption and earth
quakes, land sliding) are included in the list of natural disasters as input indicator.
16
Fig.3.10 Data of natural disaster in provinces
Wind velocity: The wind velocity is the most important and primary criteria
which must be included in the model. Every province has different wind rate based on
the geographical features. Areas with greater wind velocity are the most suitable
locations for economic growth of energy generation. Based on the data on Figure 3.11
shows that several provinces have varieties of wind velocities. Low wind speed (LWS)
and high wind speed (HWS) are based on different configurations such as wind
resources, aerodynamics, and structural design/ analysis [17]. The aerodynamics loads
are smaller per unit length for the LWS blades but the increased span means that total
forces are closer or larger than the equivalent HWS blade. Due to that for construction
a wind farm in Indonesia should use the technology namely low speed wind turbines.
The design on LWS and HWS blades differ in the blade’s lengths and the magnitude of
aerodynamic loads [17]. Average wind speed in provinces on Indonesia are including
in low to medium of wind speed according to Table 3.3. Low and medium wind speed
sites are mostly classified on Class II-IV. The design of low speed wind farm mostly
based on the blades structural design where blades typically lengthened versions up to
39 m. The materials for modern wind blades are primarily glass fiber reinforced
polymer structures.
17
Fig.3.11 Gravity loading; a. full blade; b. spar-only simplification
A wind turbine blade in low wind speed is a cantilever which is shown on Figure
3.11. Gravity loading causes edgewise bending, as illustrated in Figure 3.12, the
direction shows reverse twice per full rotation and on the maximum loading condition
as flap-wise bending when the wind direction is perpendicular on the blade [17].
Fig.3.12 Blade loading cases; a. edgewise bending; b. flap-wise bending
Fig.3.13 Data of wind velocity in provinces of Indonesia
18
Table 3.3 Wind class definitions [17]
Total area: Every province has different land use activities such as industrial
zones, housing schemes, available landscapes with respect to the total area of the
province. The province which has more spacious area is preferred. Because of the
importance of the available land it is considered as a great influential indicator in site
selection as output parameter.
Fig.3.14 Data of total area in provinces in Indonesia
Population by province in Indonesia: Generally, higher population in a
province is preferred hence it implies a higher supply for electricity. Areas with more
human being are given priority in order to minimize the cost of energy distribution to
the far or bounder places.
3.2 Methodology
In this study have a multi-criteria approach to find the most suitable location for
establishment of wind farms. Based on this study, the concept of location as efficiency
in sub-region is defined for wind plants location. Figure 3.15. presents the flow chart
of this proposed study. The proposed study is starting by defining of input and output
Parameter (m/s)
Class I
Class II
Class III Class IV
Average wind speed
10
8.5
7.5
6
19
factors that already mention before, finding the data and analyst it, then measuring the
amount of the decision-making unit to verify the amount of input and output. Location
analysis by Dual Data Envelopment Analysis (DEA) in two level and combine it to get
the rank of the DEA results, after that would like to validate the result of DEA using
principal component analysis model to verify the significant influence of the criteria to
the DMU rank. The location optimization of the wind plant by DEA model are shown
by the most suitable location in sub-region of province in Indonesia.
Fig.3.15 Flow Chart of the Proposed Study
The propose methodologies which are used in this research topics are explaining
briefly as below.
3.2.1 Dual Data Envelopment Analysis
This research considering multi-criteria approach to find the most suitable
location for founding a wind farm. Hence, this propose study consider location based
on the provinces and districts in Indonesia and find the appropriate location. Every
20
province and district in here become the decision-making units (DMUs) which are used
to measure efficiency score. Data envelopment analysis is a non-parametric and
multivariate method to measure DMUs implementaion. In this research, the method
based on the hierarchical dual form of DEA (DDEA) is used. The DMUs are calculated
using a mathematical method as Linear programming using empirical data of inputs
and output, then measure the performance scores using the ratio between input and
output to compare the performance scopes generated. The measure of efficiency for
DMU is given by following linear programming [18].
Minimize
1
. .
,
1, 2,...,
n
j
ij
io
j
s t
X
X
i
m
=
=
1
,
1, 2,...,
n
j rj
ro
j
Y
Y
r
s
=
=
0,
j
j
(1)
where:
𝜃
: the efficiency of DMU,
𝜆
𝑗
: weight given to DMU,
𝑖
: input of DMU i,
𝑟
: output of DMU r.
3.2.2 The Hierarchical Model for two Level DDEA
In this section, the hierarchical of total efficiency scores from two levels of
DDEA is illustrated. In Level 1, all districts are considered, where the districts in
province k is represented by a set J
k
using index j
k
. Level 2 as provinces level, where
there are
K provinces, and each province is given by a subscript k. Combining results
from both levels consists of three steps [9], which are explained as follows:
Step 1: Normalize in Level 1 by scaling each efficiency value by the average efficiency
of group
k .
/
,
k
k
k
k
k
kj
kj
k
k
kj
k
j
J
f
e
e e
e
J
=
=
(2)
k
J represents the number of members in set
k
J .
Step 2: Calculate the combine efficiency by multiplying the scaled value of
k
kj
f
with the
efficiency of Level 2 (
k
e ).
k
k
kj
kj
k
g
f
e
=
(3)
21
Step 3: Scaling the value of
k
kj
g
.
k
kj
h
is the total score between two levels.
,
,
min
1
k
k
k
k
kj
kj
k j
kj
h
g
R R
g
=
=
(4)
3.2.3 Fuzzy Primary Data Envelopment Analysis
In the scope of the study, wind turbine site selection which is one of the most
important problems related to sustainable energy have many alternatives and multi
criteria decision-making. Due to the uncertainty of decision makers in criteria choices,
the hesitant decision-making approach based on hesitant fuzzy linguistic term sets
(HFLTS) is chosen for solution of the complex problem. The upper bound and lower
bound weight ratio between criteria are used for calculating on hierarchical primary
data envelopment analysis. The algorithm hesitant fuzzy linguistic term sets are
proposed by Yavuz et al [19] which provides the capability to deal with hesitancy of
decision makers in assessment. The main of HFLTS is aim to advance flexibility and
completeness of linguistic importance based on the fuzzy linguistic approach.
Linguistic term is relating to language name which is used mostly in fuzzy to define the
uncertainty relation. Context free grammar such as at most, between and so on is the
figure for dealing with uncertainty relation. This algorithm combines the linguistics
term sets with context free grammar to handle the complexity of multi-criteria problems
with hierarchical structure using fuzzy approach.
The steps of the algorithm are shown as below,
Step 1. Defining the linguistic term sets S .
S = {no importance (n), very low importance (vl), low importance (l), medium
importance (m), high importance (h), very importance (vh), absolute importance (a)}.
Step 2. Defining the context-free grammar G
H.
G
H
= {lower than, greater than, at least, at most, between, and}.
Step 3. Collecting the preference relations provided by experts (
k
p
).
Step 4. Transforming the preference relations into HFLTS.
Step 5. Obtaining the envelope between pesimistic and optimistic preference relation
.
22
1
1
n
i
i
n
=
=
,
i
= round assigns in integer number.
Step 6. Computing the pessimistic and optimistic collective preference by linguistic
aggregation.
Step 7. Build the intervals utilities for the collective preference
Step 8. Normalize the collective interval vector to get the weight scores.
Ten experts from academician, NGO on renewable energy, Integrated energy
and environmental planning and policy of Indonesia, Engineers in wind turbine project
in Indonesia, and Technical officer at ASEAN Center for Energy have been asked to
evaluate the wind turbine site selection criteria in Indonesia using their expertise by
filling the fuzzy questionnaire.
Step 9. For every input and output (q, r), the weight ratio v
q
/ u
r
must be bounded by L
qr
(lower bound) and U
qr
(upper bound) as L
qr
≤ v
q
/ u
r
≤ U
qr.
The example of the weight
ratio is the relation on lower bound as pessimistic in district level between land cost and
population in region is 3.00 and upper bound is 4.20 (see Table 4.8). The lower bound
weight ratio is (land cost (LC)/population in region (PinR)) ≥ 3.00. The upper bound
weight ratio is similar as (LC/PinR) ≤ 4.20. The same procedure is carried to all criteria
to calculate the priorities.
The fuzzy set can be in combined into the primary Data Envelopment Analysis
is determined by Amy H.I Lee at al [20]. In the early stage the fuzzy analytic hierarchy
process is applied to extract expert’s questionnaire to set the pairwise comparison
values which have been introduced from step 1 to step 9. The bounded weight ratio is
designed to measure the data envelopment analysis (DEA) efficiency of a specific
DMU. DMU is a unit under evaluation in here as provinces and districts level. The
primary data envelopment analysis can be expressed by [20]:
1
1
Max
R
r rk
r
Q
q
qk
q
u Y
v X
=
=
(5)
23
Subject to
1
1
1
R
r
rk
r
Q
q
qk
q
u Y
v X
=
=
1
1
,
1,... ..., R
, q
1,...q..., Q
r
Q
q
qk
q
q
Q
q
qk
q
u
r
r
v X
v
v X
=
=
=
=
,
1,... ,
1...
q
qr
qr
r
v
L
U
r
R q
Q
u
=
=
Where
q
v
is the weight given to the q-th input and
r
u is the weight output to the
r-th output.
qk
X
is the amount of the q-th input of the k’-th DMU,
rk
Y is the amount of
the r-th output. Q is the number of inputs and R is the number of outputs and K is the
DMUs.
3.2.4 Principal Component Analysis
Reducing the number of variables under study and consequently ranking and
analysis of decision-making units (DMUs). The objective of PCA [12] is to reduce
ineffective indicators and also as a ranking methodology for determination the
efficiency of different units from the results of DEA. Discussing about principal
component analysis in here using IBM SPSS for knowing the importance of component.
The illustration how to find the importance criteria is applied in district level. The first
step, knowing how many components to extract in the analysis and looking on the Scree
plot by going to Analysis menu then dimension reduction and choose factor analysis is
illustrated in Fig. 3.16.
24
Fig.3.16 Extraction of Factor analysis in district level
Scree plot help to look for how many components should be extracted is shown
in Fig 4.17.
Fig.3.17 Scree Plot of district level
Looking at the break seems to be at about after the first three components so the
first three components definitely look like meaningful legitimate components and then
there’s a specific estrade component and it looks like the third component might be
something worth extracting. There is a more sophisticated approach to evaluate how
many components should extract an analysis in parallel analysis.
Based on the scree plot, will be extracted total for three eigen values consisting
of two eigen values which have values greater than 1 and one eigen value close to 1
from the analysis that’s why have to do it in three steps to analyze again in dimension
reduction. Choosing analyze with correlation matrix due to the variable are measured
in different units, this implies normalizing all variables using division by their standard
deviation is given in Fig. 3.18.
25
Fig.3.18 Extraction Box
The next step is chosen descriptive box and checklist on Coefficient, KMO and
Bartlett’s test of sphericity, and Univariate Descriptive is shown in Fig. 3.19. Going to
get the descriptive box to look at correlation matrix on Coefficient and KMO and
Bartlett’s test of sphericity as ferocity to tell whether should actually be doing of
component analysis to begin with and would typically want to look at univariate
descriptive x in any case.
Fig.3.19 Descriptive Box
Rotation Box is chosen for the next step is illustrated in Fig. 3.20. Choosing
Direct Oblimin as the rotation method. Direct Oblimin is an approach to produce an
oblique factor rotation that means the factors solution can be actually correlated with
each other and mostly used as familiar. If the factor solution is the most appropriate an
orthogonal uncorrelated effective solution then yield can be shown as a more or less
26
oblique orthogonal factor solution. Correlations between the three components that
have been extracted.
Fig.3.20 Rotation Box
Another options that’s good is wanting to sort the components factor loadings
more accurately. In this case to be sorted by size which makes it much easier to interpret
a component pattern matrix is given in Fig. 3.21 on Options Box.
Fig.3.21 Options Box
After interpreting the results, the significance criteria are obtained by principal
component analysis are used to measure the efficiency of the location both on district
level and province level. The multi-criteria approach based on the hierarchical Dual
Data Envelopment Analysis in Sub Section 3.2.1 and 3.2.2 are used to measure
efficiency score.
27
Chapter 4
Results and Discussion
4.1. Data Envelopment Analysis Results
In the proposed hierarchical Dual Data Envelopment Analysis model, 33
provinces at Level 2 and 165 districts at Level 1 in Indonesia are used to define DMUs
for wind farm sites. The data are collected from the Statistical Department of Indonesia,
Internal Ministry of Indonesia, Indonesian Agency for Meteorology, Climatology, and
Geophysics, and The National Land Agency of Indonesia. Overall data are mentioned
in the Appendix A. Measuring the data assessment based on DDEA and hierarchical
methods from section 3.2.1 and 3.2.2. Level 1 calculates for measuring the performance
score for districts level. Level 1 becomes the basic level for combining with the score
from Level 2 where is provinces level.
The score of efficiency at the provincial level are shown in Table 4.1. The
province efficiency represents the priority of each province based on the location
resources.
Table 4.1 Efficiency and ranking of provinces (Level 2)
No
Province
Efficiency No Province
Efficiency
1
West Papua
1.000
18
East Kalimantan
0.500
2
Papua
1.000
19
Riau
0.408
3
Maluku
1.000
20
East Java
0.449
4
East Nusa Tenggara
1.000
21
Southeast Sulawesi
0.423
5
Gorontalo
0.991
22
Jambi
0.457
6
South Sumatra
0.949
23
DI Yogyakarta
0.329
7
West Kalimantan
0.808
24
Central Sulawesi
0.387
8
West Sulawesi
0.791
25
West Sumatra
0.319
9
Lampung
0.816
26
Bengkulu
0.397
10
North Maluku
0.842
27
North Sulawesi
0.344
11
Central Kalimantan
0.744
28
DKI Jakarta
0.362
12
South Sulawesi
0.761
29
Bali
0.331
13
South Kalimantan
0.695
30
Banten
0.258
14
Riau Islands
0.656
31
Central Java
0.207
15
Aceh
0.525
32
West Nusa Tenggara
0.207
16
North Sumatra
0.525
33
West Java
0.063
17
Bangka Belitung Islands
0.536
28
The 165 districts efficiency and rankings as Level 1 from 33 provinces of
Indonesia are given in Table 4.2. It shows that the most suitable district for establishing
a wind power plant is in Palembang, one of district in province of South Sumatra. The
location of this districts is on the remote of the province, one of the public facilities as
good transportation infrastructure to ship wind power plant materials by both river and
road transportation is mainly advantages. The geographical location also giving benefit
to the regions due to Palembang is less occur able to natural disasters. The wind rate as
natural resources with a decent average wind speed that can be used for economical
electricity generation.
Table 4.2 Efficiency score of districts (Level 1)
Province
District
Eff
Rnk Province
District
Eff
Rnk
Aceh
Lhokseumawe
0.348 73
West Nusa
Tenggara
Mataram
0.179 120
Banda Aceh
0.338 75
Bima
0.478 48
Langsa
0.330 76
Dompu
0.234 102
Subulussalam
0.099 152
East
Lombok
0.702 25
Sabang
0.854 15
Sumbawa
0.537 42
North
Sumatra
Medan
0.403 60
East Nusa
Tenggara
Kupang
0.201 109
Tebing Tinggi
0.123 142
Alor
0.251 94
Tanjung Balai
0.126 140
Belu
0.467 50
Pematangsiantar 0.190 115
Ngada
0.248 95
Padang
Sidempuan
0.183 118
Southwest
Sumba
0.370 65
West
Sumatra
Padang
0.564 38
West
Kalimantan
Pontianak
0.950 12
Bukit Tinggi
0.069 158
Singkawang 0.158 129
Payakumbuh
0.175 121
Bengkayang 0.267 88
Pariaman
0.120 143
Landak
0.358 67
Solok
0.098 154
Kubu Raya
0.495 46
Riau
Pekanbaru
0.162 127
Central
Kalimantan
Palangka
Raya
0.054 161
Dumai
0.100 150
Seruyan
0.389 61
Kampar
0.114 146
Gunung
Mas
0.406 59
Rokan Hilir
0.509 44
South
Barito
0.211 107
Siak
0.593 36
Pulang
Pisau
0.497 45
29
Province
District
Eff
Rnk Province
District
Eff
Rnk
Jambi
Jambi
0.156 132
South
Kalimantan
Banjarmasin 0.380 63
Sungaipenuh
0.166 123
Banjarbaru
0.203 108
Merangin
0.200 110
Balangan
0.127 139
Sarolangun
0.199 111
Barito Kuala 0.621 32
Tebo
0.268 86
Tabalong
0.412 58
South
Sumatra
Palembang
1.000 1
East
Kalimantan
Balikpapan
0.096 155
Pagar Alam
0.136 137
Samarinda
0.116 144
Lubuk Linggau
0.338 74
Bontang
0.219 104
Prabumulih
0.256 93
Paser
0.297 81
Lahat
0.420 57
Tarakan
0.244 96
Bengkulu
Bengkulu
0.665 27
North
Sulawesi
Manado
0.561 39
Kaur
0.275 84
Bitung
0.240 101
Rejang Lebong
0.661 28
Tomohon
0.155 133
Seluma
1.000 1
Minahasa
0.358 69
Kepahiang
0.704 24
Kotamobagu 0.164 124
Lampung
Bandar
Lampung
0.431 55
Central
Sulawesi
Palu
0.130 138
Metro
0.257 92
Parigi
Moutong
0.356 70
Pesawaran
0.912 13
Donggala
0.212 106
Tanggamus
0.535 43
Banggai
0.424 56
Mesuji
0.474 49
Poso
0.641 30
Bangka
Belitung
Islands
Pangkal Pinang 0.164 125
South
Sulawesi
Makasar
0.990 11
Bangka
0.281 83
Palopo
0.618 33
Belitung
0.163 126
Sidrap
0.743 17
West Bangka
0.192 114
Parepare
0.453 53
East Belitung
0.144 135
Maros
0.719 22
Riau
Islands
Batam
0.266 89
Southeast
Sulawesi
Kendari
0.046 164
Bintan
0.061 159
Baubau
0.656 29
Tanjungpinang
0.262 90
Muna
0.366 66
Lingga
0.159 128
Kolaka
0.724 19
Karimun
0.213 105
Wakatobi
0.303 79
DKI
Jakarta
South Jakarta
0.111 147
Gorontalo
Gorontalo
City
0.354 71
Central Jakarta
0.138 136
North
Gorontalo
0.537 41
East Jakarta
0.242 99
Bone
Bolango
0.385 62
West Jakarta
0.145 134
Pohuwato
0.810 16
North Jakarta
0.185 117
Boalemo
0.609 34
30
Province
District
Eff
Rnk Province
District
Eff
Rnk
West Java
Bandung
0.275 85
West
Sulawesi
Mamuju
0.460 52
Bogor
0.108 149
Majene
0.314 78
Sukabumi
1.000 7
Polewali
Mandar
1.000 1
Tasikmalaya
0.633 31
Mamasa
0.728 18
Cimahi
0.157 130
North
Mamuju
0.267 87
Central
Java
Semarang
0.243 98
Maluku
Ambon
0.687 26
Jepara
0.867 14
Seram
0.348 72
Pekalongan
0.440 54
Tual
0.719 21
Surakarta
0.092 156
Aru
1.000 1
Magelang
0.482 47
Buru
0.547 40
DI
Yogyakarta
Yogyakarta
0.024 165
North
Maluku
Ternate
0.100 151
Sleman
0.190 116
Sula
0.156 131
Bantul
0.181 119
Morotai
0.225 103
Kulon Progo
0.076 157
Tidore
0.196 112
Gunung Kidul
0.577 37
Halmahera
0.172 122
East Java
Surabaya
0.462 51
West Papua
Manokwari
0.301 80
Pasuruan
0.373 64
Sorong
0.110 148
Malang
0.193 113
Fakfak
1.000 7
Kediri
0.282 82
Sorong City
0.705 23
Probolinggo
0.721 20
Bintuni
1.000 7
Banten
Tangerang
0.124 141
Papua
Jayapura
0.358 68
Serang
1.000 1
Merauke
0.243 97
Lebak
1.000 7
Biak
Numfor
0.260 91
Cilegon
0.319 77
Nabire
0.240 100
Pandeglang
1.000 1
Mimika
0.606 35
Bali
Denpasar
0.116 145
Gianyar
0.052 162
Buleleng
0.098 153
Bangli
0.049 163
Klungkung
0.054 160
Both efficiency between Level 1 and Level 2 are combined as hierarchical score
using hierarchical model for two level DMU in sub section of 3.2.2. Hierarchical Score
means the final score of hierarchical for two level of district and province as the
combination of efficiency score by both levels using DDEA. The ranking of province
is based on full efficiency. The result shows that the best location is in The South
31
Sumatra province, especially in Palembang district. West Papua, Papua, and Maluku
provinces also have high efficiency scores which are shown on Figure 4.1.
Fig.4.1 Hierarchical Score
Table 4.3 Detail of hierarchical score for provinces level
Province
The most
influence
district
Eff
District
Rank
of
Dist.
Eff
Hierarchical
Score
Ranking
South
Sumatera
Palembang
1.000
1
0.949
1.3404
1
West Papua
Fakfak
1.000
7
1.000
1.3391
2
Papua
Mimika
0.606
35
1.000
1.1661
3
Maluku
Aru
1.000
1
1.000
1.1055
4
East Nusa
Tenggara
Belu
0.467
50
1.000
1.1005
5
Gorontalo
Pohuwato
0.810
16
0.991
1.0745
6
West
Kalimantan
Pontianak
0.950
12
0.808
0.9024
7
West Sulawesi Polewali
Mandar
1.000
1
0.791
0.7802
8
Lampung
Pesawaran
0.912
13
0.816
0.7796
9
North Maluku Morotai
0.225
103
0.842
0.7532
10
Central
Kalimantan
Pulang
Pisau
0.497
45
0.744
0.6971
11
32
Province
The most
influence
district
Eff
District
Rank
of
Dist.
Eff
Hierarchical
Score
Ranking
South
Sulawesi
Makasar
0.990
11
0.761
0.6149
12
South
Kalimantan
Barito
Kuala
0.621
32
0.695
0.6015
13
Riau Island
Batam
0.266
89
0.656
0.4984
14
Aceh
Sabang
0.854
15
0.525
0.3848
15
North
Sumatera
Medan
0.403
60
0.525
0.3447
16
Bangka
Belitung
Island
Bangka
0.281
83
0.536
0.3061
17
East
Kalimantan
Paser
0.297
81
0.500
0.2888
18
Riau
Siak
0.593
36
0.408
0.2517
19
East Java
Surabaya
0.462
51
0.449
0.2421
20
South East
Sulawesi
Kolaka
0.724
19
0.423
0.2414
21
Jambi
Tebo
0.268
86
0.457
0.2038
22
DI Yogyakarta Gunung
Kidul
0.577
37
0.329
0.201
23
Central
Sulawesi
Poso
0.641
30
0.387
0.188
24
West
Sumatera
Padang
0.564
38
0.319
0.1821
25
Bengkulu
Seluma
1.000
1
0.397
0.1766
26
North
Sulawesi
Manado
0.561
39
0.344
0.1493
27
DKI Jakarta
East
Jakarta
0.242
99
0.363
0.1415
28
Bali
Denpasar
0.116
145
0.331
0.125
29
Banten
Serang
1.000
1
0.258
0.0874
30
Central Java
Jepara
0.867
14
0.207
0.0591
31
West Nusa
Tenggara
East
Lombok
0.702
25
0.207
0.0518
32
West Java
Sukabumi
1.000
7
0.063
0.0064
33
4.2 The Hierarchical Model for two Level DDEA Results
The methodology for combining the results of two levels between province and
district levels using three steps procedure from section 3.2.2. The hierarchical scores
show the Dual DEA Results based on province level. Firstly, collecting two levels
efficiency. Then using first step to normalize every district with average districts in one
province. Repeating for every province, in here showing for 5 dominant provinces
33
which will discuss further with another methodology in the following sub section. After
normalizing the district efficiency, then combining with province level by multiplying
it with province efficiency which will give the hierarchical score for every district. The
last step is scaling the hierarchical district score with the highest one in each province
to get the maximize one. Finally, the hierarchical score for each province is determined
by averaging the results from the third step. The detail results are shown in Table 4.4.
Table 4.4 Hierarchical score for five dominant provinces
Province
Prov
Eff
District
Dist
Eff
Step 1
Step 2
Step 3
Hierarchical
Score
South
Sumatra
0.949
Palembang
1.000
2.325
2.208
4.874
1.340
Pagar Alam 0.136
0.316
0.300
0.090
Lubuk
Linggau
0.338
0.786
0.747
0.557
Prabumulih 0.256
0.595
0.565
0.319
Lahat
0.420
0.978
0.928
0.862
West
Papua
1.000
Manokwari 0.301
0.483
0.483
0.233
1.339
Sorong
0.110
0.176
0.176
0.031
Fakfak
1.000
1.605
1.605
2.576
Sorong
City
0.705
1.131
1.131
1.280
Bintuni
1.000
1.605
1.605
2.576
Papua
1.000
Jayapura
0.358
1.049
1.049
1.100
1.166
Merauke
0.243
0.713
0.713
0.508
Biak
Numfor
0.260
0.760
0.760
0.578
Nabire
0.240
0.703
0.703
0.495
Mimika
0.606
1.775
1.775
3.150
Maluku
1.000
Ambon
0.687
1.041
1.041
1.083
1.105
Seram
0.348
0.527
0.527
0.278
Tual
0.719
1.089
1.089
1.187
Aru
1.000
1.514
1.514
2.293
Buru
0.547
0.828
0.828
0.686
East Nusa
Tenggara
1.000
Kupang
0.201
0.653
0.653
0.427
1.101
Alor
0.251
0.818
0.818
0.669
Belu
0.467
1.519
1.519
2.308
Ngada
0.248
0.805
0.805
0.649
Southwest
Sumba
0.370
1.204
1.204
1.450
34
4.3 Fuzzy Primary Data Envelopment Analysis Results
Due to a lot remaining for the expert to decide with their subjective judgement
and expertise. Ten experts have been informed with the objective information and asked
to fill the significance of decision-making criteria using their expertise. After the
importance degree and the context free grammar are built in the first and the second
steps which are shown in the Table 4.5, then collecting preference relations were
collected from experts. The fuzzy questionnaire based on importance degree and
context free grammar to apply with the criteria in Level 1 and Level 2 are designed. In
here we do not show all relations matrices here, we show one example for all steps. The
illustration here is one of seven main criteria in district level. For province level, we
show the result as well in the following steps to combine the results by HFLTS to get
the hierarchical score using data envelopment analysis method.
Table 4.5 Importance degree and context free grammar on HFLTS
Number
Importance Degree
Context free grammar
0
No importance (n)
lower than
1
Very low importance (vl)
greater than
2
Low importance (l)
at least
3
Medium importance (m)
at most
4
High importance (h)
between
5
Very high importance (vh)
and
6
Absolute importance (a)
The expert evaluation data shows in Table 4.6. is the one of expert evaluation
of the main criteria in district level with respect to the goal. Firstly, shows as discreate
sets and then converted to intervals. For example, the first expert preference the land
cost (LC) in relation to population in region (PinR) is “at least low importance” in
relation of linguistic terms and can be expressed in the discreate set as {low importance
(l), absolute importance (a)} as the interval set term [l,a], similarity for all relation term
set between every criteria in one expert linguistic evaluations. These evaluations are
proposed for ten experts for every level. After converting the relations term to interval,
the data were collected to determine envelops based on expert evaluations which are
shown in Table 4.7.
35
Table 4.6 Pairwise evaluations of one expert in main criteria on level 1
LC
PinR
RF
PR
SR
TR
TCI
Expert1s Linguistic Evaluations
LC
-
at least
l
between
l and m
is m
between
l and m
between
l and m
is l
PinR at most h
-
is vh
between
h and vh
between
h and vh
at most
vh
between h
and vh
RF
between m
and h
is vl
-
between
h and vh
between
h and vh
at most
h
between
vl and l
PR
is m
between
vl and l
between
vl and l
-
is h
is vh
between h
and vh
SR
between m
and h
between
vl and l
between
vl and l
is l
-
is h
is l
TR
between m
and h
at least
vl
at least
l
is vl
is l
-
is vl
TCI
is h
between
vl and l
between
h and
vh
between
vl and l
is h
is vh
-
Table 4.7 Obtained envelops for HFLTS
E1
LC
PinR
RF
PR
SR
TR
TCI
LC
-
[l,a]
[l,m]
[m,m]
[l,m]
[l,m]
[l,l]
PinR
[n,h]
-
[vh,vh]
[h,vh]
[h,vh]
[n,vh]
[h,vh]
RF
[m,h]
[vl,vl]
-
[h,vh]
[h,vh]
[n,h]
[vl,l]
PR
[m,m]
[vl,l]
[vl,l]
-
[h,h]
[vh,vh]
[h,vh]
SR
[m,h]
[vl,l]
[vl,l]
[l,l]
-
[h,h]
[l,l]
TR
[m,h]
[vl,a]
[l,a]
[vl,vl]
[l,l]
-
[vl,vl]
TCI
[h,h]
[vl,l]
[h,vh]
[vl,l]
[h,h]
[vh,vh]
-
In the interval set for every evaluation represent the pessimistic in left hand site
and optimistic in right hand side as [P,O]. In here we show the calculation for
pessimistic and optimistic preference using two operations. The scale of the importance
degree is shown in Table 4.5. to the linguistic terms. Table 4.8. shows the pessimistic
and optimistic values. For instance, we show one of the examples for pessimistic and
optimistic preference by land cost (LC) with respect to Population in Region (PinR)
criteria is calculated as follows:
36
Pessimistic preference.
Optimistic preference.
Table 4.8 Pessimistic and optimistic preference in district level
Level 1
LC
PinR
RF
PR
SR
TR
TCI
P
O
P
O
P
O
P
O
P
O
P
O
P
O
LC
-
-
3.0 4.2 3.2 4.0 2.7 4.0 1.9 4.2 2.6 4.2 1.4 2.4
PinR
1.8 3.0 -
-
3.4 4.4 3.0 3.6 3.7 4.6 3.0 4.1 2.4 2.7
RF
2.0 2.8 1.6 2.6 -
-
2.1 3.2 2.0 4.3 1.6 3.5 1.0 1.4
PR
2.1 2.8 2.4 3.0 2.8 3.9 -
-
3.5 4.0 4.7 5.1 1.2 2.2
SR
1.8 4.1 1.5 2.3 1.7 4.0 2.0 2.5 -
-
3.0 4.0 1.3 2.0
TR
1.9 3.4 1.9 3.0 2.5 4.4 0.9 1.3 2.0 3.0 -
-
1.3 1.6
TCI
3.6 4.6 3.3 3.5 4.6 5.0 3.8 4.8 4.0 4.5 4.4 4.7 -
-
The next step is looking for the linguistic intervals. The linguistic intervals are
calculated by using the average of pessimistic and optimistic values. For example, using
in one criterion as land cost (LC) as follows:
(
)
12
12
12
12
1
1
1
1
1
1
1
1
1
1
1
( , 2)
( ,1)
( , 3)
( ,1)
( , 4)
( , 0)
(
, 5)
( , 4)
( , 6)
( , 4)
10
1
(2 1 3 1 4 0 5 4 6 4)
10
(3.00)
( ,.00)
l
vl
m
vl
h
n
vh
h
a
h
L
L
L
m
L
P
P
P
P
−
−
−
−
−
−
−
−
−
−
−
−
−
−
=
+
+
+
+
+
+
+
+
+
=
+ + + + + + + + +
=
=
(
)
12
12
12
12
1
1
1
1
1
1
1
1
1
1
1
( , 6)
( , 2)
( , 4)
( , 3)
( , 4)
( , 2)
( , 6)
(vh, 5)
( , 6)
( , 4)
10
1
(6 2 4 3 4 2 6 5 6 4)
10
(4.20)
(h,.20)
a
l
h
m
h
l
a
a
h
L
L
L
L
P
P
P
P
+
−
−
−
−
−
−
−
−
−
−
+
+
+
=
+
+
+
+
+
+
+
+
+
=
+ + + + + + + + +
=
=
(
)
(
) (
)
(
)
12
12
6
6
1
1
1
,
6
1
1
(3.00 3.20 2.70 1.90 2.60 1.40) ,
(4.20 4.00 4.00
4.20 4.20 2.40)
6
6
(2.467), (3.833
,.467 ,
,
167
)
.
L
L
l
h
P
P
−
+
+
+
+
+
+
+
+
+
+
+
−
37
The linguistic intervals are converted to interval utilities as known as the value
to get the midpoint by the average between pessimistic and optimistic values. The
weight value is obtained by normalizes the midpoint.
The linguistic interval, interval utilities, midpoint and weights of all seven
criteria in district level are given in Table 4.9.
Table 4.9 The linguistic interval, interval utilities, midpoint and weights
Criteria
Linguistic
intervals
interval utilities
Midpoints Weights
P
O
P
O
LC
l,.467
h,-.167
2.467
3.833
3.150
0.150
PinR
m,-.117 h,-.267
2.883
3.733
3.308
0.158
RF
l,-.283
m,-.033
1.717
2.967
2.342
0.112
PR
m,-.217 h,-.500
2.783
3.500
3.142
0.150
SR
l,-.117
m,.150
1.883
3.150
2.517
0.120
TR
l,-.250
m,-.217
1.750
2.783
2.267
0.108
TCI
h,-.050
vh,-.483
3.950
4.517
4.233
0.202
After getting the weight ratio for every criterion in district level. We need to
look for the efficiency by using the ratio as constraint of criteria. Table 4.8. is ratio
relation of criteria in for province level is given in Table 4.10.
Table 4.10 Pessimistic and optimistic preference in province level
Level
2
WV
PinP
TA
EC
LL
LF
LE
LVE
P
O
P
O
P
O
P
O
P
O
P
O
P
O
P
O
WV
-
-
5.1 5.5 4.3 5.4 3.2
5
4.5
5
4.2 4.7 3.5 4.7 3.1 5.3
PinP
0.7
0.9
-
-
3
3.9 2.5 3.5
3
4.2 3.4 4.5 3.5 4.8 3.1
4
TA
0.6
1.7
2.1
3
-
-
2.5 3.1 2.7
4
1.4 3.4 2.2
4
2.1 3.8
EC
1
2.8
2.5 3.5 2.9 3.5
-
-
2.8 4.3 2.7 4.1 3.1 4.6 3.5 4.5
LL
1
1.5
1.8
3
2
3.4 1.8 3.2
-
-
3.8 3.9 2.4 3.3 3.1 3.5
LF
1.3
1.8
1.5 2.6 2.5 4.6 1.9 3.2 1.9 2.2
-
-
2.7 2.9 2.7 3.4
LE
1.3
2.5
1.2 2.5 1.8 3.5 1.4 2.9 2.7 3.9 3.1 3.3
-
-
3.2
4
LVE
0.7
2.9
2
2.9 1.9 3.7 1.5 2.5 2.5 2.9 2.6 3.3
2
2.8
-
-
3.150
3.150 3.308 2.342 3.142 2.517 2.267 4.233
0.150
Weights
Weights
=
+
+
+
+
+
+
=
38
Pairwise comparison matrix is performed based on the fuzzy aggregation in
Table 4.8 for district level and Table 4.10 for province level. The constraints show the
lower bound and upper bound values as pessimistic and optimistic priorities in fuzzy
matrix, for showing the example of the priority range in district level as Step 9 in Sub-
Section 3.2.3. The constraints of the priorities for each criterion are given in Table 4.11
for district level and Table 4.12 for province level. Due to the space constraints in here
just for showing one example of the constraints for district level as Palembang district.
South Sumatra as representing for province level. The same procedure is applied for
each region in district and province level to get location efficiency.
Table 4.11 The constraint of the priorities for district level
Table 4.12 The constraint of the priorities for province level
WV
PinP
TA
EC
LL
LF
LE
P
O
P
O
P
O
P
O
P
O
P
O
P
O
WV
-
-
0.0
0
0.0
0
0.0
0
0.0
0
0.5
6
0.8
8
0.7
9
0.8
8
0.9
6
1.0
7
0.8
6
1.1
5
Pin
P
0.1
2
0.1
6
-
-
0.0
0
0.0
0
0.4
4
0.6
1
0.5
3
0.7
4
0.7
8
1.0
3
0.8
6
1.1
8
TA
0.1
1
0.3
0
0.0
0
0.0
0
-
-
0.4
4
0.5
4
0.4
7
0.7
0
0.3
2
0.7
8
0.5
4
0.9
8
EC
0.1
8
0.4
9
0.0
0
0.0
0
0.0
0
0.0
0
-
-
0.4
9
0.7
5
0.6
2
0.9
3
0.7
6
1.1
3
LL
0.1
8
0.2
6
0.0
0
0.0
0
0.0
0
0.0
0
0.3
2
0.5
6
-
-
0.8
7
0.8
9
0.5
9
0.8
1
LC
PinR
RF
PR
SR
TR
TCI
P
O
P
O
P
O
P
O
P
O
P
O
P
O
LC
-
-
0.1
9
0.2
6
0.5
2
0.6
5
0.4
1
0.6
0
0.1
8
0.4
0
0.3
5
0.5
7
0.2
3
0.3
9
Pin
R
0.4
1
0.6
9
-
-
0.5
6
0.7
2
0.4
5
0.5
4
0.3
5
0.4
3
0.4
1
0.5
6
0.3
9
0.4
4
RF
0.4
6
0.6
4
0.1
0
0.1
6
-
-
0.3
2
0.4
8
0.1
9
0.4
1
0.2
2
0.4
8
0.1
6
0.2
3
PR
0.4
8
0.6
4
0.1
5
0.1
9
0.4
6
0.6
4
-
-
0.3
3
0.3
8
0.6
4
0.6
9
0.2
0
0.3
6
SR
0.4
1
0.9
4
0.0
9
0.1
4
0.2
8
0.6
5
0.3
0
0.3
8
-
-
0.4
1
0.5
4
0.2
1
0.3
3
TR
0.4
3
0.7
8
0.1
2
0.1
9
0.4
1
0.7
2
0.1
4
0.2
0
0.1
9
0.2
8
-
-
0.2
1
0.2
6
TCI
0.8
2
1.0
5
0.2
1
0.2
2
0.7
5
0.8
2
0.5
7
0.7
2
0.3
8
0.4
2
0.6
0
0.6
4
-
-
39
WV
PinP
TA
EC
LL
LF
LE
P
O
P
O
P
O
P
O
P
O
P
O
P
O
L
F
0.2
3
0.3
2
0.0
0
0.0
0
0.0
0
0.0
0
0.3
3
0.5
6
0.3
3
0.3
9
-
-
0.6
6
0.7
1
L
E
0.2
3
0.4
4
0.0
0
0.0
0
0.0
0
0.0
0
0.2
5
0.5
1
0.4
7
0.6
8
0.7
1
0.7
5
-
-
Hierarchical DEA is run to evaluate the total score between district and province
level for wind turbine site selection after getting ratio of weight by HFLTS as seen in
Table 4.13, the result shows that, considering expert judgement on the importance of
significant criteria, South Sumatra as the most appropriate location for establishing
wind turbine power plant, following by west Papua, Papua, Maluku, and East of Nusa
Tenggara, respectively.
Table 4.13 Hierarchical Score for HFLTS
No Province
Eff
District
Eff
Dist
Step 1
Step 2
Step 3
Hierarchical
Score
1
South
Sumatra
0.725
Palembang
0.6076
4.9965
3.6238 13.1317
2.626
Pagar
Alam
0.0000
0.0001
0.0001
0.0000
Lubuk
Linggau
0.0001
0.0010
0.0007
0.0000
Prabumulih 0.0001
0.0010
0.0008
0.0000
Lahat
0.0002
0.0013
0.0010
0.0000
2
West
Papua
0.729
Manokwari 0.1218
0.7429
0.5414
0.2931
1.979
Sorong
0.0001
0.0004
0.0003
0.0000
Fakfak
0.0005
0.0032
0.0024
0.0000
Sorong
City
0.6972
4.2520
3.0989
9.6031
Bintuni
0.0002
0.0015
0.0011
0.0000
3
Papua
0.885
Jayapura
0.0017
2.9959
2.6500
7.0227
1.695
Merauke
0.0002
0.3528
0.3121
0.0974
Biak
Numfor
0.0000
0.0487
0.0431
0.0019
Nabire
0.0002
0.3285
0.2906
0.0844
Mimika
0.0007
1.2740
1.1269
1.2700
4
Maluku
0.908
Ambon
0.6807
1.5134
1.3738
1.8874
1.388
Seram
0.0002
0.0004
0.0003
0.0000
Tual
0.7079
1.5738
1.4287
2.0413
Aru
0.8598
1.9117
1.7355
3.0118
Buru
0.0003
0.0008
0.0007
0.0000
40
No Province
Eff
District
Eff
Dist
Step 1
Step 2
Step 3
Hierarchical
Score
5
East
Nusa
Tenggara
0.639
Kupang
0.0030
3.2750
2.0918
4.3758
0.938
Alor
0.0003
0.3644
0.2327
0.0542
Belu
0.0003
0.3631
0.2320
0.0538
Ngada
0.0005
0.5607
0.3581
0.1283
Southwest
Sumba
0.0004
0.4368
0.2790
0.0779
4.4 Principle Component Analysis Results
Based on the scree plot in Fig. 3.17., will be extracted for total three eigen values
consisting of two eigen values which have values greater than 1 and one eigen value
close to 1 from the analysis that’s why have to do it in two steps to analyze again in
dimension reduction. Choosing analyze with correlation matrix due to the variable are
measured in different units, this implies normalizing all variables using division by their
standard deviation.
Fig.4.2 Correlation matrix on district level
Looking at the correlation on Fig 4.2 between Primary and Secondary road have
positive correlation 0.795 they seem to hang together when the primary road is needed
in wind turbine site criteria, Secondary can also necessary. But there is also some
negative correlation such as Land cost and population which are different in usual but
cannot expect too much such a thing as slightly not significant. We can see a lot of
positive correlation mostly on Primary, Secondary, Tertiary and Total Cost of
Infrastructure that very consistent, Overall have a lot positive correlation but there are
41
also have some negative correlation that’s not going to be real straight forward one
component extraction effects on the scree-plot. That true as three component extraction.
Fig.4.3 KMO and Bartlett’s Test on district level
The Bartlett’s test of sphrericity will be non-significant because see on Fig. 4.3.
in this case is statistically significant basically telling that at least one statistically
significant correlation matrix. On the Kaiser-Meyer-Olkin measure of Sampling
Adequacy is also more effect size measure is determining whether use principal
component analysis or not. 0.695 or up to 0.70 or higher is great the lower point is on
less than 0.40 this is the rule time that generally used. Overall on the correlation matrix,
KMO that are over than 0.40 and The Bartlett’s test is statistically significant this will
make confidence to perform the component analysis on district level.
Fig.4.4 Communalities on level 1
The Communalities is output from SPSS that shows the extraction based on
three components being extracted as shown on Fig. 4.4. Communalities represent
variance that have been counted from Component analysis. We can see that ratio of free
usage area have the largest amount of variance that being explained by component
42
analysis solutions as 99.6% of the significant criteria on wind turbine site selection,
following with total cost infrastructure and tertiary road, respectively. Overall the
communalities are good due to more than 50 % for each criterion.
Fig.4.5 Total variance on district level
The real important thing that should be interpret on column extraction sums of
squared loadings that have been extracted from the three components factor solutions
as given in total variance on Fig. 4.5. These are the eigenvalues 3.375 for the first
component, 1.835 for the second component, and following by the third component is
1.158. Overall the extraction sums of squared loadings have more than 1. The
cumulative percentage of variance and these are the rotated component solution
eigenvalues. SPSS technically calls rotations sums of squared loading as the
eigenvalues in the rotated component solutions which is oblique on scree plot that we
used for the first step of the analysis.
43
Fig.4.6 Component matrix of district level
The component matrix on Fig. 4.6 of component loadings is basically the
extraction method based on the unrotated solution just for showing the initial value and
we don’t need to interpret it.
Fig.4.7 Pattern matrix on district level
When we have oblique rotated component solution, we really want to use the
pattern matrix are given in Fig. 4.7. The pattern matrix is to help to identify the nature
of the components and what have here in the first component is total cost of
infrastructure is 92.2%, tertiary road is 92.2%, secondary road is 90.3%, and primary
road is 87.8% all loading nicely on this first component so wind turbine site selection
44
criteria seem to hang together to trade together as significant criteria. But that’s not
always exactly true because these factor loadings are not on all 0.95 but they are high
enough to suggest a pretty strong pattern. These the rest of the listed criteria as land
cost and ratio of free space don’t seem to load very strong only the exception would be
ratio of free space what do you use as a statistically significant component loading.
The second component has two major loadings that are land cost is 91.2% and
population 89.9% then it has negative component loading and if look at total cost of
infrastructure and tertiary road. its component loading to the first component and the
second component its one’s positive and one’s negative either one is very high positive
in first component. Mostly we choose positive value for both components and have a
significant decision or both have difference value on less of negativity.
The third component has one major loading that is ratio of free space area as
highly positive 99.8%. It is totally hanged to trade as significant criteria. So, we can
conclude that majority the percentage of significant criteria have more that 87% as in
the first component is total cost of infrastructure, tertiary, secondary and primary road,
for the second component is land cost and population, and the last component is ratio
of free usage area.
Fig.4.8 Structure matrix on level 1
The last table is the structured matrix which is actually the correlation between
each variable in the analysis and that sequence of respective component from the most
significant criteria to less significant criteria as given in Fig. 4.8.
45
On the District level we can conclude that have seven significant criteria which
influence on wind turbine site selection in Indonesia such as total cost infrastructure,
tertiary road, secondary road, primary road, population and land cost and we reduce
ratio of free space based on analysis of principal component analysis.
Due to same steps to do analysis using principal component. In province level
we can interpret the results directly.
Fig.4.9 Scree plot for level 2
Based on the scree plot which have been shown on Fig. 4.9, we can see on the
oblique shows on the first three component which have eigenvalue more than 1. Due to
that 3 components look like have meaning components and we can use it on extraction
analysis.
Fig.4.10 KMO and Bartlett’s Test for Level 2
46
The KMO and Bartlett’s results test is given in Fig. 4.10 show that for KMO
measure of sampling adequacy is 0.660 is good enough to determine using principal
component analysis. The Bartlett’s test of sphrericity will be non-significant because in
this case is statistically significant basically telling that at least one statistically
significant correlation matrix. Overall on the correlation matrix, KMO that are over
than 0.40 and The Bartlett’s test is statistically significant this will make confidence to
perform the component analysis on province level.
Fig.4.11 Correlation matrix on level 2
Fig. 4.11 shows the correlation matrix on province level. Looking at wind
velocity column we can see that majority have positive correlation such as wind
velocity with population, electricity consumption, earthquake, volcanic eruption and
landslide, but have some negative correlation with total area and flood. Correlation
between wind velocity and population have positive 0.419 as dominant. Also looking
at other column, we can say as generally, overall have a lot positive correlation but
there are also have some negative correlation. It is meaning that more than one
component has extraction effects on the scree plot. We use three components for
extraction analysis.
Fig.4.12 Communalities on level 2
47
The results of variance being showed in the communalities table is given on Fig.
4.12 We can see that majority have good value of extraction. Population have the
highest amount of variance as 84.2% and wind velocity even have less amount still
more than 10 % for saying as a statistical criterion on 42.3%.
Fig.4.13 Total variance on level 2
The rotation sums of squared loadings are the most important thing to interpret
as the extraction results from three components factor solutions which are given in Fig.
4.13. These are the result 2.666 for the first component, 1.837 for second component
and the last as 1.118 for third component. These results show the position of component
after rotated component as scree plot on the early analysis.
Fig.4.14 Component matrix on level 2
48
The component matrix shows the initial component as unrotated solution as
given in Fig. 4.14. In here just show the early step before being rotated.
Fig.4.15 Pattern matrix on level 2
The pattern matrix helps to identify oblique rotated component solution is given
on Fig. 4.15. In first component we can see the positive loadings is population,
electricity consumption, earthquake, wind velocity, land slide and volcanic eruption.
The second component have 5 major loadings as volcanic eruption, landslide, flood,
earthquake and population. Wind velocity and electricity consumption have decreased
on few negativities and have not impact on changes. On third components just have two
loadings positive as Total area and earthquake but majority on negativity neither one is
very high. Overall, we can conclude that each criterion has positive loadings even in
just one component and have an impact on solution as the group of components. Due
to that, we can conclude that all of criteria have statistically significant and we do not
need to reduce the criterion.
Fig.4.16 Structure matrix on level 2
49
As we have discussed the function of structure matrix on Fig. 4.16 to show the
sequence of influence criteria. Looking at last criterion on total area, even on first and
two components give negative loadings but have a great trend on last component as
87% its look like increasing trend and have been impacted by rotated component
solution.
Fig.4.17 Component correlation matrix on level 2
Component correlation matrix is correlation between each component based on
rotated component solutions is given in Fig. 4.17. Looking at component 1 shows that
have correlation with component 2. Due to negativity on component 3 so component 1
have not correlation with it. Differently at component 2 have positive correlation for
component 1 and component 3. It is showing the good relation from rotated component
solution.
We can conclude that population, electric consumption, earthquake, wind
velocity, flood, volcanic eruption, landslide, and total area as the significant criteria
which are influencing on province level of wind turbine site selection in Indonesia.
Following results of significance criterion, multivariable ranking method namely
Principal component Analysis (PCA) is used for verifying a hierarchical DEA result.
The PCA ranking result is given in Table 4.14.
50
Table 4.14 Principal Component Analysis Results
Province
Prov
Eff
District
Dist
Eff
Step 1
Step 2
Step 3
Hierarchical
Score
South
Sumatra
0.949
Palembang
1.000
2.325
2.208
4.874
1.340
Pagar Alam 0.136
0.316
0.300
0.090
Lubuk
Linggau
0.338
0.786
0.747
0.557
Prabumulih 0.256
0.595
0.565
0.319
Lahat
0.420
0.978
0.928
0.862
West
Papua
1.000
Manokwari 0.301
0.483
0.483
0.233
1.339
Sorong
0.110
0.176
0.176
0.031
Fakfak
1.000
1.605
1.605
2.576
Sorong
City
0.705
1.131
1.131
1.280
Bintuni
1.000
1.605
1.605
2.576
Papua
1.000
Jayapura
0.358
1.049
1.049
1.100
1.166
Merauke
0.243
0.713
0.713
0.508
Biak
Numfor
0.260
0.760
0.760
0.578
Nabire
0.240
0.703
0.703
0.495
Mimika
0.606
1.775
1.775
3.150
Maluku
1.000
Ambon
0.687
1.041
1.041
1.083
1.105
Seram
0.348
0.527
0.527
0.278
Tual
0.719
1.089
1.089
1.187
Aru
1.000
1.514
1.514
2.293
Buru
0.547
0.828
0.828
0.686
East Nusa
Tenggara
1.000
Kupang
0.201
0.653
0.653
0.427
1.101
Alor
0.251
0.818
0.818
0.669
Belu
0.467
1.519
1.519
2.308
Ngada
0.248
0.805
0.805
0.649
Southwest
Sumba
0.370
1.204
1.204
1.450
4.5 Comparison of Three Methods Result
The top five are chosen based on the three methods which are discussed.
Hierarchical data envelopment analysis (DEA) is one of multi-variable approach which
can measure efficiency score, in here the result represents the total score of the province
combine with district level. Hesitant fuzzy linguistic term set is used for measuring
uncertainty criteria which can influence in site selection, in this study the judgement,
expertise and advisement by the expert needed to evaluate the importance of the
51
criterion. After getting the hesitant criteria which have been proven, validation is
needed to validate the significance criteria. The top five suitable locations for
establishing wind turbine power plant in Indonesia are South Sumatra, Papua, West
Papua, Maluku and East Nusa Tenggara provinces, respectively as shown in Fig. 4.18
as geographically location.
Table 4.15 Comparison of three methods result.
Province
DEA
Rank
Fuzzy
DEA
Rank
PCA
Rank
South Sumatra
1.340
1
2.626
1
1.340
1
West Papua
1.339
2
1.979
2
1.339
2
Papua
1.166
3
1.695
3
1.166
3
Maluku
1.105
4
1.388
4
1.105
4
East Nusa Tenggara
1.101
5
0.938
5
1.101
5
The Table 4.15 shows that although using three methods differently still giving
the same priority ranking. Expert judgement can help with multi complex decision and
uncertainty condition. The fuzzy DEA results based on the expert advice giving the
same priority as South Sumatra have the highest priority to build a wind farm. It shows
that the importance criteria relation with specific bound weight are optimal used. The
significance criteria which are obtained based on principal component analysis shows
that the ratio of free usage area and total cost of infrastructure are highly influence to
the results in district level. The ratio of free usage area in South Sumatra is high. It
shows that more space area in one region is advantages. The availability of the
infrastructure of primary road and secondary road in each region have improved in
South Sumatra as primary concern. In this region do not need to build some additional
infrastructure in tertiary road. It can be decreasing the total cost of infrastructure. The
minimize total cost of infrastructure is preferable to influence the efficiency score. In
the province level some criteria such as population, electricity consumption and less of
natural disaster are the most influence to the total efficiency score. The availability
human resources in South Sumatra shows that higher spreading population is in
Palembang district. It can decrease the resources management for the transportation and
accommodation cost of labors. Electricity consumption as the demand in South
52
Sumatra is high are needed to show the amount of electricity distribution to the center
area. The establishment of wind farm in South Sumatra can help as the alternative
energy resources to fulfill the electricity demand. The third influence criteria in South
Sumatra is less of natural disaster. The South Sumatra as geographically located in the
Sumatra Island based on the occurrence of the disaster shows that in this region have
less of landslide, earthquake and volcanic eruption. Due to the reasons that South
Sumatra can be decided as the most suitable location to build a wind farm power plant.
Fig.4.18. Top five Provinces in Indonesia
53
Chapter 5
Conclusions and Recommendations
5.1 Conclusion
Wind energy as natural energy resources is a renewable, freely available and
environmentally compared with other sources of fossil fuel, such as coal, and oil. In
this study, three methods are proposed to decide the most suitable location based on the
multi criteria approach. The hierarchical DDEA to determine the integrated efficiency
scores of DMUs between the district level and the province level. The Fuzzy Data
Envelopment Analysis is used for measuring the bound weight ratio for specific DMUs
based on the expert judgement, advice and expertise. The validation based on principal
component analysis to know the significance of criteria which are influences to the
wind turbine site selection in Indonesia. The possible factors used in the districts level
as defined by land cost, population in region, ratio of free usage area, primary road,
secondary road, tertiary road, and total cost of infrastructure. In the provinces level as
defined by wind velocity, population in province, total area, electricity consumption,
less of land slide, flood, earthquake and volcanic eruption. This method was applied to
33 provinces and 165 districts of Indonesia. The final result shows that the South
Sumatra province has the highest efficiency score which is the most economical
location for constructing a wind farm as given in Fig. 5.1. The most significant criteria
which influence on wind turbine site selection based on principal component analysis
in district level is ratio of free usage area, following by total cost of infrastructure, and
tertiary road. Population, electricity consumption and total area influence in province
level. This study is a milestone for policy makers, government and private stakeholders
in decision making for selecting the most suitable sites for wind power plant
construction in Indonesia. The hierarch DEA results can be used to assist decision
maker on selecting the most suitable wind farm site. The proposed approach can be
considered as an alternative solution, and an early study for policy makers.
54
Fig.5.1. Full Score of Three Methods
5.2. Recommendations
Further improvement could be on criterion specification, which includes social,
environmental, economic, and technical aspects. The final site selection will be more
practical, if opinions from experts, policy makers, government, and private stakeholders
are also considered in the analysis. Collecting more specific data is better approach to
improve the advance analysis in wind turbine site selection.
55
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57
Appendices
58
Appendix A
Data Resources
A.1 Districts Level Data
Output
Province
District
Port
Primary
Secondary Tertiary
Total Cost of Insfrastructure (Rp)
Land Cost (m^2) (IDR) Population Ratio of Free Usage Area
1 Lhokseumawe
International Samudera Pasee Port
15.3
2.6
0
0
700000
188221
0.000961954
2 Banda Aceh
Ulee Lheue Port
6
1.2
0
0
900000
235305
0.000260768
3 Langsa
Kuala Langsa Port
7.9
0.5
0
0
700000
178334
0.001471452
4 Subulussalam
Tapak Tuan Port
102
25.2
41.8
6270000000
600000
78801
0.01765206
5 Sabang
Sabang Port
1.3
0.2
0
0
700000
38077
0.004018174
6 Medan
Belawan International Port
18.8
8.8
0
0
7900000
2465469
0.000107485
7 Tebing Tinggi
Kuala Tanjung Port
19.3
20.5
3
450000000
1000000
169786
0.000182583
8 Tanjung Balai
Tanjung Tiram Port
13.2
34.3
12.2
1830000000
900000
165763
0.000650507
9 Pematangsiantar
Tanjung Tiram Port
33
33.5
6.3
945000000
900000
278055
0.000200176
10 Padang Sidempuan
Angin Sibolga Port
42.8
34.4
10.9
1635000000
700000
225544
0.000508371
11 Padang
Indonesian Port II
6.7
2.1
0
0
2000000
872271
0.000795235
12 Bukit Tinggi
Indonesian Port II
28.8
63.4
8.2
1230000000
1000000
113326
0.00022272
13 Payakumbuh
Indonesian Port II
80.1
33.5
14.7
2205000000
350000
125608
0.00067846
14 Pariaman
Indonesian Port II
28.7
20.1
11.3
1695000000
400000
85485
0.000773586
15 Solok
Indonesian Port II
34.8
16.6
8.2
1230000000
350000
63672
0.001119644
16 Pekanbaru
Duku Port
4.5
2.4
0
0
12500000
855221
0.000739306
17 Dumai
Dumai Port
3.5
3.3
0
0
7000000
264084
0.006147211
18 Kampar
Roro sei Paknik Port
112
125
43.1
6465000000
4000000
722328
0.015205654
19 Rokan Hilir
Bandar Seribu Kubah Port
52.1
23.7
14.1
2115000000
700000
625642
0.014195962
20 Siak
Tanjung Buton Port
33.7
14.6
17.4
2610000000
400000
407093
0.020327493
21 Jambi
Pelita Jambi Port
6
7.4
0
0
5000000
602187
0.00017194
22 Sungaipenuh
Indonesian Port II
98.4
113
35.5
5325000000
300000
101325
0.003863805
23 Merangin
Indonesian Port II
157
120
83.6
12540000000
900000
329077
0.023334964
24 Sarolangun
Pelita Jambi Port
88.3
72.4
32.4
4860000000
900000
309621
0.019972805
25 Tebo
Pelita Jambi Port
66.1
75.1
67.6
10140000000
700000
323554
0.019968846
26 Palembang
Indonesian Port II
1.3
0
0
0
2000000
1548064
0.000238504
27 Pagar Alam
Indonesian Port II
142
78.6
59.1
8865000000
500000
136244
0.00465092
28 Lubuk Linggau
Indonesian Port II
72.9
91.1
28.3
4245000000
300000
208225
0.001928203
29 Prabumulih
Indonesian Port II
33.6
35.7
23.7
3555000000
400000
188082
0.001339522
30 Lahat
Indonesian Port II
87.7
91.8
41.1
6165000000
500000
418845
0.012681875
31 Bengkulu
Bengkulu Pelindo Port
11.1
6.1
0
0
700000
360495
0.00042081
32 Kaur
Linau Port
44.5
18.9
6.1
915000000
300000
123236
0.019223685
33 Rejang Lebong
Bengkulu Pelindo Port
64.3
33.2
11.4
1710000000
200000
268569
0.006106364
34 Seluma
Bengkulu Pelindo Port
31.8
38.1
19.4
2910000000
100000
204790
0.011721471
35 Kepahiang
Bengkulu Pelindo Port
41.6
44.3
11.5
1725000000
100000
144418
0.004604689
36 Bandar Lampung
Panjang Port
7.9
5.5
0
0
3500000
1166761
0.000253694
37 Metro
Panjang Port
25.3
17.2
4.7
705000000
350000
161799
0.000381894
38 Pesawaran
Panjang Port
22.1
25.6
10.1
1515000000
337000
542984
0.004131816
39 Tanggamus
Piers Attorney Port
33.2
17.5
5.8
870000000
700000
634643
0.004759526
40 Mesuji
Mesuji Port
37.8
31.6
8.4
1260000000
337000
302524
0.007219262
41 Pangkal Pinang
Balam Base port
3.4
1.2
0
0
1600000
202959
0.000440483
42 Bangka
Balam Base port
26.8
13.5
6
900000000
700000
304944
0.009676137
43 Belitung
Tanjung Pandan Port
13.9
7.6
3.2
480000000
800000
152250
0.015064762
44 West Bangka
Muntok Port
38.9
16.2
5
750000000
600000
179711
0.015695255
45 East Belitung
Belitung Port
11.1
25.5
13.8
2070000000
650000
109564
0.022880782
46 Batam
Batam Port
8.3
7.3
0
0
5000000
1029808
0.000932455
47 Bintan
Bintan Lagoon International Port
15.1
12.4
4.4
660000000
2500000
140169
0.009404433
48 Tanjungpinang
Sri Bintan Putra Port
3
1.2
0
0
1000000
203008
0.00071209
49 Lingga
Jagoh Port, Dabo Singkep
11.4
5.9
3.9
585000000
700000
87463
0.025916902
50 Karimun
Tanjung Batu Port
13.2
5.5
2.4
360000000
1000000
237002
0.003851233
51 South Jakarta
Tanjung Priok Port
16.1
15.5
0
0
24600000
2113411
7.30194E-05
52 Central Jakarta
Tanjung Priok Port
6.8
10.5
0
0
21000000
1114581
4.69952E-05
53 East Jakarta
Tanjung Priok Port
9.9
10.6
0
0
20000000
2852887
6.40404E-05
54 West Jakarta
Tanjung Priok Port
12.9
8.4
0
0
22000000
2234397
5.56929E-05
55 North Jakarta
Tanjung Priok Port
7.5
7.1
0
0
20000000
1647853
8.4953E-05
56 Bandung
Patimban port
59.4
44.6
0
0
11000000
2339463
7.16703E-05
57 Bogor
Tanjung Priok Port
36.2
30.4
3
450000000
11000000
982469
0.000120614
58 Sukabumi
Ratu Port
39.8
12.1
9.9
1485000000
1700000
2436729
0.001701338
59 Tasikmalaya
Cirebon port
31.7
63.1
18.3
2745000000
1700000
1640647
0.00155499
60 Cimahi
Tanjung Priok Port
84.3
37.7
24.6
3690000000
2000000
513176
7.65235E-05
61 Semarang
Tanjung Mas Port
5.6
3.9
0
0
14800000
1621384
0.000230531
62 Jepara
Kartini Port
2.7
2.6
0
0
1700000
1141236
0.00092816
63 Pekalongan
Nusantara Port
3.1
2.6
0
0
2676000
911277
0.000918491
64 Surakarta
Tanjung Mas Port
60.4
38.3
10.5
1575000000
5000000
552118
8.33336E-05
65 Magelang
Tanjung Mas Port
39.2
29.5
10.2
1530000000
1700000
1261661
0.000874189
66 Yogyakarta
Tanjung Mas Port
65.6
59.9
4.6
690000000
21000000
407617
7.97317E-05
67 Sleman
Tanjung Mas Port
57.4
53.1
10.5
1575000000
4500000
1062801
0.000540854
68 Bantul
Tanjung Mas Port
60.2
80.4
7.7
1155000000
4500000
912937
0.000556588
69 Kulon Progo
Tanjung Mas Port
84.5
25.2
28.6
4290000000
4000000
409568
0.001431459
70 Gunung Kidul
Tanjung Mas Port
60.8
60.5
39.2
5880000000
700000
749155
0.001910713
12
West Java
13
Central Java
14
DI Yogyakarta
9 Bangka Belitung Islands
10
Riau Islands
11
DKI Jakarta
6
South Sumatra
7
Bengkulu
8
Lampung
3
West Sumatra
4
Riau
5
Jambi
Input
1
Aceh
2
North Sumatra
59
Output
Province
District
Port
Primary
Secondary Tertiary
Total Cost of Insfrastructure (Rp)
Land Cost (m^2) (IDR) Population Ratio of Free Usage Area
71 Surabaya
Tanjung Perak Port
5.1
1.8
0
0
21000000
2805906
0.000124929
72 Pasuruan
Pasuruan Port
8.1
10.2
3.5
525000000
5000000
1553563
0.0009488
73 Malang
Pasuruan Port
27.4
22.2
5.4
810000000
4000000
808945
0.000179592
74 Kediri
Tanjung Perak Port
50.6
50.1
16.4
2460000000
3500000
1440425
0.000962251
75 Probolinggo
Probolinggo Port
24.7
11.4
8
1200000000
1000000
1072101
0.001582136
76 Tangerang
Tanjung Priok Port
17.1
13.1
1.6
240000000
15900000
1566190
9.82831E-05
77 Serang
Karangantu Port
10.7
11.1
3.1
465000000
1000000
1401036
0.001237855
78 Lebak
Binuangeun Port
16.9
40.1
24.3
3645000000
700000
1133671
0.003022535
79 Cilegon
Merak Port
8.9
3.2
0
0
1572000
387543
0.000452853
80 Pandeglang
Labuan Port
17.9
16.3
5.1
765000000
700000
1139061
0.002411539
81 Denpasar
Indonesian, Benoa Port
4.6
4.9
0
0
15000000
632016
0.000202178
82 Gianyar
Benoa Port
26.5
7.2
0
0
12000000
485377
0.000758174
83 Buleleng
Buleleng Port
20.5
7.2
3.5
525000000
10000000
805883
0.001693459
84 Bangli
Benoa Port
31.8
26.7
7.4
1110000000
5000000
261240
0.001878388
85 Klungkung
Nusa Penida Port
4.5
5.6
2.8
420000000
5000000
211862
0.001486817
86 Mataram
Lembar Port
11
10.4
2.5
375000000
2300000
408900
0.000149914
87 Bima
Bima Port
15.4
16.6
17.1
2565000000
700000
519078
0.006560921
88 Dompu
Bima Port
16.1
40.4
5.8
870000000
600000
211051
0.011331574
89 East Lombok
Lembar Port
11.6
30.1
3.5
525000000
1500000
1279949
0.00096157
90 Sumbawa
Badas Port
15.4
24
8.3
1245000000
600000
503978
0.013183075
91 Kupang
Tenau Port
7.7
3.1
2.3
345000000
2500000
433970
6.03268E-05
92 Alor
Feri Port
6.3
15
10
1500000000
700000
207283
0.013819754
93 Belu
Atapupu port
7.7
11.2
10.6
1590000000
300000
218880
0.00587066
94 Ngada
Aimere port
34.5
6.3
5.1
765000000
450000
162721
0.010114736
95 Southwest Sumba
Waikelo Port
5.1
10
12.1
1815000000
700000
300671
0.004923854
96 Pontianak
Indonesian Port II
0.95
0
0
0
2500000
651139
0.000165556
97 Singkawang
Sedau Port
6.2
2.1
1.4
210000000
1700000
230216
0.002189248
98 Bengkayang
Teluk Suak Port
23.6
68.6
52.3
7845000000
700000
280168
0.018115845
99 Landak
Dwikora Port
79.2
24.2
33.6
5040000000
600000
391767
0.022756128
100 Kubu Raya
Dwikora Port
19.3
13.8
22
3300000000
800000
596421
0.011666625
101 Palangka Raya
Sampit Port
93.3
84
41.5
6225000000
3000000
249429
0.009619972
102 Seruyan
Sigintung Port
11.4
8.5
7.5
1125000000
700000
141334
0.11606549
103 Gunung Mas
Sampit Port
96.6
95.8
72.2
10830000000
400000
135872
0.079523375
104 South Barito
Sampit Port
138
108
35.1
5265000000
700000
121557
0.072640819
105 Pulang Pisau
Sampit Port
96.1
42.4
58.8
8820000000
300000
122143
0.073659563
106 Banjarmasin
Trisakti Port
4
0
0.6
90000000
2500000
635688
0.000113263
107 Banjarbaru
Trisakti Port
26.7
5.4
3.3
495000000
850000
216600
0.001712835
108 Balangan
Trisakti Port
92.4
46.7
85.4
12810000000
600000
121429
0.015468298
109 Barito Kuala
Trisakti Port
14.2
16.7
8.6
1290000000
300000
303193
0.009883012
110 Tabalong
Semayang Port
120
78.1
29.2
4380000000
300000
230847
0.016318037
111 Balikpapan
Semayang Port
5.4
1.5
1.9
285000000
15000000
597625
0.000881824
112 Samarinda
TPK Palaran Port
5.6
13.6
8.8
1320000000
10300000
752845
0.001040055
113 Bontang
Tanjung Laut Port
1
0.21
0.39
58500000
1000000
161356
0.002520514
114 Paser
Semayang Port
5
48.3
102
15300000000
900000
240043
0.03220623
115 Tarakan
Malundung Port
3.3
1.9
0.7
105000000
800000
179079
0.000402057
116 Manado
ASDP Manado Port
0.7
1.8
0.3
45000000
16000000
461636
0.00034068
117 Bitung
Bitung Port
1.4
5
3.5
525000000
1133000
218520
0.001386097
118 Tomohon
ASDP Manado Port
4.1
22.1
0.4
60000000
700000
96411
0.001184512
119 Minahasa
Amurang Port
11.9
17.4
15.3
2295000000
600000
331647
0.000337316
120 Kotamobagu
Amurang Port
4.8
62.7
23.3
3495000000
600000
120597
0.000564359
121 Palu
Pantoloan Port
3.2
18.1
1.8
270000000
3500000
359350
0.001099374
122 Parigi Moutong
Tinombo Port
56.2
16.6
10.4
1560000000
700000
439799
0.011573264
123 Donggala
Donggala Port
51.6
45.2
6.5
975000000
850000
288686
0.014808754
124 Banggai
Luwuk Port
16.9
10.7
7.8
1170000000
600000
355415
0.027215227
125 Poso
Laut Poso Port
1.3
1.2
1
150000000
600000
238400
0.029833263
126 Makasar
Soekarno Hatta Makasar Port
1.4
9.2
6.3
945000000
14070000
1651146
0.00012068
127 Palopo
Tanjung Ringgit Port
1.2
1.9
0.6
90000000
300000
180130
0.001404486
128 Sidrap
Awerange Port
29
51.1
0.4
60000000
450000
317691
0.005927867
129 Parepare
Indonesian Port 4
0.8
0.8
0
0
500000
175040
0.00056747
130 Maros
Soekarno Hatta Makasar Port
25.4
11.2
6.7
1005000000
300000
395081
0.004098198
131 Kendari
Indonesian Port 4
6.8
4.1
0
0
9300000
331013
0.000908998
132 Baubau
Murhum Port
2.2
0.6
0
0
300000
152143
0.001452581
133 Muna
Nusantara Raha Port
9.8
15.2
12.6
1890000000
400000
223982
0.008581761
134 Kolaka
Kolaka Port
7.3
1.3
2
300000000
300000
204044
0.016092558
135 Wakatobi
Mola Port
6.4
1.5
1.5
225000000
350000
107898
0.005185824
136 Gorontalo City
Indonesian Port 4
2.7
1.9
0
0
700000
191897
0.000414754
137 North Gorontalo
Anggrek Port
2.7
5.5
0
0
300000
122124
0.013724984
138 Bone Bolango
Indonesian Port 4
20.7
15.2
10.2
1530000000
250000
157215
0.012621633
139 Pohuwato
Marisa Port
4.1
19.1
0.4
60000000
150000
136448
0.031105696
140 Boalemo
Tilamuta Port
8.4
15.7
15.8
2370000000
150000
141796
0.010754041
141 Mamuju
Mamuju Port
2.8
15.9
2.7
405000000
700000
290672
0.017200453
142 Majene
Palipi Port
49.3
5.9
3.2
480000000
300000
164107
0.005775744
143 Polewali Mandar
Tanjung Silopo Port
34.9
6.2
3.3
495000000
250000
513180
0.003460092
144 Mamasa
Tanjung Silopo Port
50.7
27.9
12.9
1935000000
150000
200977
0.014956338
145 North Mamuju
Pasangkayu Port
55.7
8.8
12.6
1890000000
500000
205774
0.014791713
146 Ambon
Ambon Port
5.9
0.8
0
0
700000
372249
0.000802178
147 Seram
Kobi Sadar Port
45.8
31.2
12.2
1830000000
350000
125684
0.051159097
148 Tual
Tual Port
1.7
0.4
0
0
150000
82955
0.003066602
149 Aru
Dobo Port
1.8
3.5
0
0
150000
100766
0.080904472
150 Buru
Namlea Port
66.2
6.8
6
900000000
200000
128720
0.03831821
151 Ternate
A Yani Port
1.9
1.4
0
0
5836000
213274
0.000522286
152 Sula
Sanana Port
16.5
11
10.2
1530000000
700000
122726
0.026924368
153 Morotai
Morotai Ferry Port
14.1
24.8
5.5
825000000
350000
63033
0.039281012
154 Tidore
Trikora Tidore Port
3.3
5
0
0
700000
103171
0.015951479
155 Halmahera
Tongute Port
8.8
8.9
5.9
885000000
600000
130137
0.01309543
156 Manokwari
Manokwari Port
2.2
2.4
0
0
2000000
190337
0.016740203
157 Sorong
Arar Port
15.5
17.2
9.4
1410000000
1700000
120956
0.05410422
158 Fakfak
Fak Fak Port
2.6
2.4
2.5
375000000
700000
83072
0.132854391
159 Sorong City
Sorong Port
2.5
0.6
0
0
500000
272349
0.002411024
160 Bintuni
Bintuni Port
7
6.6
5
750000000
450000
75410
0.276366927
161 Jayapura
Indonesian Port 4
4.3
6.3
1.5
225000000
2000000
162199
0.068786799
162 Merauke
Merauke Port
57.6
40.5
17.5
2625000000
1500000
219438
0.200835771
163 Biak Numfor
Laut Biak Port
4.4
7.2
8
1200000000
500000
138401
0.018800442
164 Nabire
Nabire Port
21.6
27.5
14
2100000000
700000
163390
0.068012791
165 Mimika
LPMAK Port
3.8
26.6
6.7
1005000000
600000
303376
0.071307552
Input
33
Papua
30
Maluku
31
North Maluku
32
West Papua
27
Southeast Sulawesi
28
Gorontalo
29
West Sulawesi
24
North Sulawesi
25
Central Sulawesi
26
South Sulawesi
21
Central Kalimantan
22
South Kalimantan
23
East Kalimantan
18
West Nusa Tenggara
19
East Nusa Tenggara
20
West Kalimantan
15
East Java
16
Banten
17
Bali
60
A.2 Provinces Level Data
Output
Input
Province
Wind Velocity
(m/s)
Population
Area
(sq.km)
Electricity
Consumption
(Gwh)
Landslide
(times)
Flood
(times)
Eartquake
(times)
Volcanic eruption
(times)
Aceh
5.3
4494410
57,956.00
2119
273
1 649
1 228
0
North Sumatra
2.7
12982204
72,981.23
8704
569
807
191
194
West Sumatra
2.4
4846909
42,012.89
3063
225
306
78
6
Riau
2.9
5538367
87,023.66
3586
24
512
0
0
Jambi
5.9
3092265
8,201.72
1083.79
58
518
40
0
South Sumatra
5.5
7450394
50,058.16
4783
145
745
2
0
Bengkulu
3.9
1715518
91,592.43
785.43
151
213
56
0
Lampung
4.0
7608405
16,424.06
3571.00
82
508
5
0
Bangka Belitung Islands
4.2
1223296
19,919.33
861.52
4
58
0
0
Riau Islands
5.7
1679163
34,623.80
2695
13
51
0
0
DKI Jakarta
6.9
9607787
664.01
41329
0
151
0
0
West Java
4.7
43053732
35,377.76
44071
1 578
1 193
412
5
Central Java
3.3
32382657
9,662.92
20408
1 222
1 273
129
1
DI Yogyakarta
10.2
3457491
32,800.69
2484
77
76
27
2
East Java
4.3
37476757
3,133.15
30825
665
1 218
207
43
Banten
13.3
10632166
47,799.75
8575
150
531
19
0
Bali
2.4
3890757
5,780.06
4594
150
58
0
0
West Nusa Tenggara
6.4
4500212
18,572.32
1402.30
46
286
68
0
East Nusa Tenggara
7.0
4683827
48,718.10
749.76
581
445
97
17
West Kalimantan
8.8
4395983
147,307.00
1989.63
65
616
0
0
Central Kalimantan
5.0
2212089
153,564.50
1048.64
23
534
0
0
South Kalimantan
3.0
3626616
38,744.23
2187.64
40
623
0
0
East Kalimantan
5.3
3553143
129,066.64
3007.30
55
409
4
0
North Sulawesi
4.1
2270596
13,851.64
1302.58
308
353
102
102
Central Sulawesi
5.3
2635009
11,257.07
948.78
205
731
158
0
South Sulawesi
3.9
8034776
61,841.29
4479.46
280
728
22
0
Southeast Sulawesi
4.0
2232586
46,717.48
703.59
123
702
175
0
Gorontalo
5.9
1040164
16,787.18
398.82
73
323
99
0
West Sulawesi
2.2
1158651
38,067.70
258.70
157
159
8
0
Maluku
4.5
1533506
46,914.03
509.51
122
233
43
0
North Maluku
5.0
1038087
31,982.50
329.44
52
285
143
63
West Papua
5.0
760422
319,036.05
455.58
54
88
160
0
Papua
8.5
2833381
99,671.63
763.32
251
308
341
0
61
Appendix B
General Optimization Model in IBM ILOG CPLEX
B.1 Model on Districts Level
Model:
/*********************************************
* OPL 12.5.1.0 Model
* Author: Galih Pambudi
* Creation Date: Mar 17, 2018 at 11:23:37 AM
*********************************************/
//define indices
int
District
=...;
//the set of district name
int
ninputs
= ...;
//the set of input criteria
int
noutputs
=...;
//the set of output criteria
range
DMU
=
1.
.
District
;
//range of decision making unit in districts
range
Input
=
1.
.
ninputs
;
//number of input
range
Output
=
1.
.
noutputs
;
//number of output
//define parameter
// Input
float
I
[
DMU
][
Input
]=...;
// Data of inputs
// Output
float
O
[
DMU
][
Output
]=...;
// Data of outputs
int
refDMU
=...;
// measurement of the DMU efficiency
//assert refDMU in DMU;
//decision variables
dvar
float
+
teta
;
// variable of DMU efficiency
dvar
float+
lambda
[
DMU
];
// variable of lambda value
//objective function
minimize
teta
;
// minimize input
subject
to
{
forall
(
j
in
Input
)
ctInput
:
sum
(
i
in
DMU
) (
lambda
[
i
]*
I
[
i
][
j
]) <=
teta
*
I
[
refDMU
][
j
];
//
input constraint
forall
(
j
in
Output
)
ctOutput
:
sum
(
i
in
DMU
) (
lambda
[
i
]*
O
[
i
][
j
]) >=
O
[
refDMU
][
j
];
//
output constraint
}
execute
// shows report for DMU
{
62
writeln
(
""
,
teta
);
if
(
teta
==
1
)
writeln
(
"DMU Efficient"
);
else
writeln
(
"DMU Not efficient"
);
writeln
(
"lambda="
,
lambda
);
writeln
();
}
// Loop to measure efficiency for all DMU
main
// To implement Flow Control
{
thisOplModel
.
generate
();
//generating the current model instance
for
(
var
dmu
in
thisOplModel
.
DMU
)
{
//writeln("District ",dmu);
for
(
j
in
thisOplModel
.
Input
)
thisOplModel
.
ctInput
[
j
].
setCoef
(
thisOplModel
.
teta
,-
thisOplModel
.
I
[
dmu
][
j
]);
for
(
j
in
thisOplModel
.
Output
)
thisOplModel
.
ctOutput
[
j
].
LB
=
thisOplModel
.
O
[
dmu
][
j
];
// modifying
lower bound of output
cplex
.
solve
();
//one of CPLEX Optimizer’s MP algorithms to solve
the model
thisOplModel
.
postProcess
();
//to control and manipulatethe
solutions
}
}
Data:
/*********************************************
* OPL 12.5.1.0 Model
* Author: Galih Pambudi
* Creation Date: Mar 17, 2018 at 12:23:37 AM
*********************************************/
District
=165;
//total of districts
refDMU
=1;
//DMU reference
ninputs
=5;
//total amount of input criteria
noutputs
=2;
//total amount of output criteria
SheetConnection
sheetData
(
"Theses Data.xlsx"
);
//data connection
with excel data
x
from
SheetRead
(
sheetData
,
"I"
);
//read input table
y
from
SheetRead
(
sheetData
,
"OPCA"
);
//read output table
//teta to SheetWrite(sheetData,SheetWriteConnectionString);
woutputs
from
SheetRead
(
sheetData
,
"wo"
);
winputs
from
SheetRead
(
sheetData
,
"wi"
);
63
B.2 Model on Provinces Level
Model:
/*********************************************
* OPL 12.5.1.0 Model
* Author: Galih Pambudi
* Creation Date: Mar 17, 2018 at 18:23:37 AM
*********************************************/
//define indices
int
province
=...;
//the set of province name
int
ninputs
= ...;
//the set of input criteria
int
noutputs
=...;
//the set of output criteria
range
DMU
=
1.
.
province
;
//range of decision making unit in provinces
range
Input
=
1.
.
ninputs
;
//number of input
range
Output
=
1.
.
noutputs
;
//number of output
//define parameter
// Input
float
X
[
DMU
][
Input
]=...;
// Data of inputs
// Output
float
Y
[
DMU
][
Output
]=...;
// Data of outputs
int
refDMU
=...;
// measurement of the DMU efficiency
//assert refDMU in DMU;
//decision variables
dvar
float
+
teta
;
// variable of DMU efficiency
dvar
float+
lambda
[
DMU
];
// variable of lambda value
//objective function
minimize
teta
;
// minimize input
subject
to
{
forall
(
j
in
Input
)
ctInput
:
sum
(
i
in
DMU
) (
lambda
[
i
]*
X
[
i
][
j
]) <=
teta
*
X
[
refDMU
][
j
];
//
input constraint
forall
(
j
in
Output
)
ctOutput
:
sum
(
i
in
DMU
) (
lambda
[
i
]*
Y
[
i
][
j
]) >=
Y
[
refDMU
][
j
];
//
output constraint
}
execute
// shows report for DMU
{
writeln
(
""
,
teta
);
if
(
teta
==
1
)
writeln
(
"DMU Efficient"
);
else
writeln
(
"DMU Not efficient"
);
//writeln("lambda=",lambda);
writeln
();
}
64
// Loop to measure efficiency for all DMU
main
// To implement Flow Control
{
thisOplModel
.
generate
();
//generating the current model instance
for
(
var
dmu
in
thisOplModel
.
DMU
)
{
writeln
(
"Province "
,
dmu
);
for
(
j
in
thisOplModel
.
Input
)
thisOplModel
.
ctInput
[
j
].
setCoef
(
thisOplModel
.
teta
,-
thisOplModel
.
X
[
dmu
][
j
]);
for
(
j
in
thisOplModel
.
Output
)
thisOplModel
.
ctOutput
[
j
].
LB
=
thisOplModel
.
Y
[
dmu
][
j
];
// modifying
lower bound of output
cplex
.
solve
();
//one of CPLEX Optimizer’s MP algorithms to solve
the model
thisOplModel
.
postProcess
();
//to control and manipulatethe
solutions
}
}
Data:
/*********************************************
* OPL 12.5.1.0 Model
* Author: Galih Pambudi
* Creation Date: Mar 17, 2018 at 19:23:37 AM
*********************************************/
province
=33;
//total of provinces
refDMU
=1;
//DMU reference
ninputs
=5;
//total amount of input criteria
noutputs
=3;
//total amount of output criteria
SheetConnection
sheetData
(
"Theses Data.xlsx"
);
//data connection
with excel data
X
from
SheetRead
(
sheetData
,
"X"
);
//read input table
Y
from
SheetRead
(
sheetData
,
"Y"
);
//read output table
//teta to SheetWrite(sheetData,SheetWriteConnectionString);
Similarity score
(Including citation)
( Similarity score range :
: 0%
,
: 1-39%
,
: 40-59%
,
: 60-79%
,
: 80-100% )

