- Open Access
- Total Downloads : 24
- Authors : P. Etraj, J. Jayaprakash
- Paper ID : IJERTCONV4IS26005
- Volume & Issue : NCARMS – 2016 (Volume 4 – Issue 26)
- Published (First Online): 24-04-2018
- ISSN (Online) : 2278-0181
- Publisher Name : IJERT
- License: This work is licensed under a Creative Commons Attribution 4.0 International License
Multi-Criteria Site Selection for Municipal Solid Waste Disposal by Integrating DEMATEL and AHP Methods
P. Etraj1, J. Jayaprakasp
Department of Mechanical Engineering,
Dr.MGR Educational and Research Institute University, Chennai 600 095, Tamil Nadu, India.
AbstractThe sanitary landfill has been recognized as the cheapest form of disposing the Municipal Solid Waste (MSW) and also been commonly adopted by every country in the world. However, selecting a suitable Landfill Disposal Sites (LDS) is an extremely complex task mainly due to the fact that the identification and selection process involves many factors and strict regulations. For proper identification and selection of suitable LDS needs very careful and systematic procedures. Wrong sitting may result to environmental degradation and other consequences often lead to public opposition. As the existing LDS has reached its saturation point, the Corporation of Chennai (CoC) is searching for alternate sites for disposing of its MSW for current and future needs. Since, the present method of selection of LDS lack practical applications, the authors made an attempt to develop a Multi Criteria Site Selection for MSW Disposal by Integrating Decision Making Trial and Evaluation Laboratory (DEMATEL) and Analytic Hierarchy Process (AHP) method. The proposed hybrid method is superior to existing methods since it has the capability of representing qualitative data and presenting all possible results with different degrees of priority. The end results also shows that the integrated approach of DEMATRL and AHP method is more precious than that of the individual approach.
KeywordsMunicipal Solid Waste; Corporation of Chennai; Delphi Technique; Decision-Making Trial and Evaluation Laboratory; Analytic Hierarchy Process.
I INTRODUCTION
India generates about 1,33,760 Metric Tones Per Day (TPD) of MSW (MoEF Report). According to the definition from U.S. Environmental Protection Agency (EPA) MSW is composted by everyday items such as product packaging, grass clippings, furniture, clothing, bottles, food scraps, newspapers, appliances, paint, and batteries. Due to increase in population, urbanization, change in life style and consumption pattern, the Municipal Solid Waste Management (MSWM) in urban areas are become a tenacious problem for the waste managers[1]. The arising of MSW in Chennai, the fourth largest metropolitan city in India, has increased from 600 to 4500 TPD during the last 20 years [2]. Urban MSW is considered as one of the burning and serious environmental problems confronting for municipal authorities. As the existing two LDS of CMA namely Kodungaiyur and Perungudi have reached their saturation point, the Corporation of Chennai (CoC) is searching for alternate sites for disposing of its MSW for current as well as future needs.
Sanitary LDS selection needs to address not only the technical issues but also the political, legal, economic, environmental, geological, hydrological as well as socio- economic, socio-political and socio-cultural factors[3]. Choosing the appropriate LDS for MSW has already become a hot point for the decision-maker. This paper applies an effective solution based on an integrated DEMATEL and AHP method[4,5] to assist the expert group for evaluating LDS selection for CMA, since the degree of influence each criterion may differ, depending on the various ecological conditions. The hybrid model of integrated DEMATEL and AHP in combination with Decision Delphi has been found to be a powerful tool to solve the LDS selection problem, since the Decision Delphi Technique will help to converge the criteria and DEMATEL will prioritize the criteria and finally AHP will rank the potential LDS[6].
II LITERATURE REVIEW
An extensive review literature on site-selection process shows that a number of researchers used the Geographical Information System (GIS) to deal with the LDS selection process[7,8]. Identifying the LDS for urban solid waste disposal made easy by using GIS and Remote Sensing(RS) techniques[9]. The article gives the detailed account of optimizing the sitting technique for MSW landfills and its management issues. The assessment of the resident's satisfaction level in MSW system gives more insight to researchers dealing with LDS site selection[10,11]. Selection of LDS for MSW can be treated as one of the Multiple Criteria Decision Making (MCDM) problem, which requires the consideration of a large number of complex criteria[12]. As such the researchers approached this issue by adopting the multi-cretiria technique to improve the selection process [13,14]. A beefy MCDM method needs numerous factors and the RAND Delphi Technique correlate judgments on a topic spanning a wide range of disciplines which aims to achieve a convergence of opinion on a specific real-world issue[15]. A robust MCDM method needs to consider the interactions among the influencing criteria and DEMATEL is one such tool which can evaluate such interaction among the influencing factors[16]. DEMATEL will not only convert the relations between cause and effect of criteria into a structural model, but also can be used as a way to handle the inner dependencies within a set of criteria[17]. AHP is another relatively robust MCDM method which can be dealt with all
kinds of interactions systematically by decomposing the complex decision making problem into a much simpler one by using the paired comparisons to weigh the criteria based on hierarchical structure which provides easiness during decision making[18]. Notably, the AHP method has the advantages of yielding more precise results and verifying consistency of judgments[19]. In the current research work the authors made an attempt to combine all these three methods for LDS selection process to get better solution. The impact of the landfill leachete on ground water is a serious issues and several research papers addressed this issue [20, 21, 22].
III STUDY AREA
Greater Chennai is city of Indian state Tamil Nadu located on the eastern coast (Latitude 13o 07 N and Longitude 80o 16 E). The total area of Greater Chennai city is 174 square kilometer. Presently the CMA covers the CoC and 16 other adjourning local bodies of Municipalities, Town Panchayats and Panchayat Unions. The present population of Greater Chennai City is 6.5 millions and it has been estimated that each individual is generating 700 grams of solid wastes per day. It has been estimated that 4500 TPD of solid waste generated in CMA, which are currently disposed in two LDS viz. Kodungaiyur and Perungudi only. As the existing two LDS have reached their saturation point, the CoC is searching for alternate sites for disposing its MSW for current and future needs. The proposed LDS should adopt a multi- technology approach to deal with different waste streams of MSW as listed below:
-
Biological Treatment (BT)- including composting and anaerobic digestion which would treat source- separated biodegradable materials such as food waste;
-
Mechanical-Biological Treatment (MBT) – comprising mechanical and biological processes which recover recyclable materials and treat biodegradable fraction from mixed waste;
-
Thermal Treatment incinerating the unavoidable mixed waste not handled by biological treatment or MBT and recovering the energy contained
IV RESEARCH DESIGN
LDS selection is a difficult, complex, tedious, and protracted process requiring evaluation of many different criteria since it has to combine social, environmental, technical, and financial factors. Economic factors must be considered in the sitting of landfills, which include thecosts associated with the acquisition, development, and operation of the site. Social and political opposition to landfill sitting have been identified as the greatest obstacle for successfully locating the LDS. The not in my backyard (NIMBY) and not in anyones backyard (NIABY) syndrome are becoming a common attitude and creating a tremendous pressure on the decision makers involved in the selection of a LDS. In the first phase literature survey and interview are used for collecting the basic theoretical and practical information. The article demonstrate that how the integration of two or more methods can produce better results than using only one method of site selection[23]. The collected data are presented to an Expert Committee (EC) comprising of 4 academicians, 2 volunteers from NGO, each one MSW
planners from TNPCB, CoC and private conservancy firm contracted by the CoC. In the next phase Delphi Technique has been applied to identify the influential factors on site selection of LDS for the MSW. In the third phase DEMATEL method has been utilized to prioritize the influential factors. In the fourth phase AHP has been applied with 6 fictitious LDS for the shortlisted factors are par wise compared with the Global weights as well as with the Prioritized factors obtained through the DEMATEL. The consistency of the result is verified by sensitivity analysis. The overall Site Selection Process involves three step procedures:
-
Establishing of selection criteria by Delphi Technique.
-
Prioritization of selection criteria by DEMATEL and
-
Evaluation of weight of criteria and ranking of site selection by AHP.
-
Hybrid DELHI, DEMATEL and AHP
Research design used in this study using a hybrid Decision Delphi, DEMATEL and AHP methods. The LDS selection process has been structured into three main phases as depicted in Fig. 1. The first is the input stage, where in Factors and Criteria for LDS selection will be established by Decision Delphi. In the next stage Factors and Criteria will be prioritized through DEMATEL method. In the third stage weighting the criteria by AHP and rank the sites.
Input
Establishing of SS Factors and Criteria through
Decision DELPHI
Input
Establishing of SS Factors and Criteria through
Decision DELPHI
Prioritizing of SS influencing Factors and Criteria by DEMATEL
Prioritizing of SS influencing Factors and Criteria by DEMATEL
Determination of relationship between the Criteria and Ranking of LDS by AHP
Determination of relationship between the Criteria and Ranking of LDS by AHP
Output
Recommending the Site with highest Rank
Output
Recommending the Site with highest Rank
Fig. 1. Research Design of Hybrid DEMATEL and AHP
-
Establishment of Factors and Criteria
The RAND Decision Delphi technique is an important data collection methodology with a wide variety of applications[6]. The EC members are immersed and imbedded in the topic of interest and can provide real-time and real-world knowledge within their domain of expertise. Delphi technique is well suited for consensus-building by multiple iterations on selected data and provides structured alternative anecdotal approach. Firstly factors and criteria obtained from the literature review were presented to the EC to apply the Decision Delphi technique.
Round 1: The Decision Delphi process traditionally began with an open-ended questionnaire, which served as the cornerstone of soliciting specific information about MSW subjects. The first round was started with 72 criteria under nine factors. After the completion of first round, some criteria which were regarded as unimportant excluded from the list.
Round 2: During the second round the areas of disagreement and agreement are identified. The second round starts with 7 factors and 59 criteria, and at the end 11 more criteria which were associated with none of the factors were excluded from the list.
Round 3: In the third and last round, experts came to an agreement on the factors and criteria. More specifically 6 factors and 40 criteria associated with the LDS selection for MSW collected from CMA are determined and depicted in Table I.
TABLE I, ESTABLISHMENT OF FACTORS AND CRITERIA
-
Priororitzion of Factors and Criteria
ij
ij
The DEMATEL method has been applied in 8 steps procedure as shown as Fig.2, formulating Direct Answer Matrix, Original Average Matrix, Normalizing the Direct Influence Matrix, Deriving the Total Relation Matrix and deciding threshold value to get the Cause and Effect Relationship diagram [16]. The Direct Answer Matrix for each dimensions are to be constructed by the scores awarded by m Decision Makers (DM) with n factors. The degree to which the DM perceived factor i affects on factor "j" is denoted by ak . The integer score of 0 to 4 is assigned for each pairs as per the values given in the Table II.
Step -1
Gather EPMs opinion and formulate the Direct Answer Matrix A
Step -1
Gather EPMs opinion and formulate the Direct Answer Matrix A
Step -2 Compute the
Original Average Matrix B
Step -2 Compute the
Original Average Matrix B
Step -3 Compute the normalized
Initial Direct Influence Matrix D
Step -3 Compute the normalized
Initial Direct Influence Matrix D
Step -4 Derive the
Total Relation Matrix T
Step -4 Derive the
Total Relation Matrix T
Step -5 Compute the
Positions and Relations
Step -5 Compute the
Positions and Relations
Step -6 Compute the
Threshold Value ()
Step -6 Compute the
Threshold Value ()
Step -7 Construct the
Cause and Effect Relationship(C&ER) Diagram
Step -7 Construct the
Cause and Effect Relationship(C&ER) Diagram
Re-fix the Threshold value ()
Re-fix the Threshold value ()
Sl.No.
Factors
F-Code
Criteria
C-Code
1.
Receptor
F1
Site capacity
F1C1
Technical and operational
F1C2
Lateral expansion
F1C3
Type of approach road
F1C4
Traffic nuisance
F1C5
2.
Distance
F2
From waste generating zone.
F2C1
Nearest residential locality
F2C2
Nearest drinking water sources
F2C3
Nearest public utility facility
F2C4
Nearest religious sites
F2C6
Nearest archaeological sites
F2C7
Nearest coastal precinct
F2C8
3.
Environment
F3
Odor, dust and noise nuisance
F3C1
Threat to ecology
F3C2
Risk of leachete leaking
F3C3
Risk of explosive gases
F3C4
Weather and Climate
F3C5
Threat to Flora and Fauna
F3C6
Risk to contiguous area
F3C8
Vector vulnerability
F3C9
Spoil of vicinities air quality
F3C10
Fire hazard and wind path
F3C11
4.
Hydrology and hydrogeolog y
F4
Ground water contamination
F4C1
Wetlands
F4C2
Floodplains
F4C3
Soil permeability
F4C4
Soil erosion risk
F4C5
Slope pattern
F4C6
Geomorphology
F4C7
Topography
F4C8
5.
Social, Legal and Political
F5
Vicinitys aesthetics
F5C1
Public tolerability
F5C2
Agreement with pressure group
F5C3
Synchronize with local bodies
F5C4
Concord with UNEP
F5C5
Compliance to EPA 1986.
F5C6
6.
Financial
F6
Land cost
F6C1
Transportation costs
F6C2
Operation and maintenance
F6C3
Cost for after care
F6C4
Sl.No.
Factors
F-Code
Criteria
C-Code
1.
Receptor
F1
Site capacity
F1C1
Technical and operational
F1C2
Lateral expansion
F1C3
Type of approach road
F1C4
Traffic nuisance
F1C5
2.
Distance
F2
From waste generating zone.
F2C1
Nearest residential locality
F2C2
Nearest drinking water sources
F2C3
Nearest public utility facility
F2C4
Nearest religious sites
F2C6
Nearest archaeological sites
F2C7
Nearest coastal precinct
F2C8
3.
Environment
F3
Odor, dust and noise nuisance
F3C1
Threat to ecology
F3C2
Risk of leachete leaking
F3C3
Risk of explosive gases
F3C4
Weather and Climate
F3C5
Threat to Flora and Fauna
F3C6
Risk to contiguous area
F3C8
Vector vulnerability
F3C9
Spoil of vicinities air quality
F3C10
Fire hazard and wind path
F3C11
4.
Hydrology and hydrogeolog y
F4
Ground water contamination
F4C1
Wetlands
F4C2
Floodplains
F4C3
Soil permeability
F4C4
Soil erosion risk
F4C5
Slope pattern
F4C6
Geomorphology
F4C7
Topography
F4C8
5.
Social, Legal and Political
F5
Vicinitys aesthetics
F5C1
Public tolerability
F5C2
Agreement with pressure group
F5C3
Synchronize with local bodies
F5C4
Concord with UNEP
F5C5
Compliance to EPA 1986.
F5C6
6.
Financial
F6
Land cost
F6C1
Transportation costs
F6C2
Operation and maintenance
F6C3
Cost for after care
F6C4
Is the C & ER
Diagram represents the required
data? No
Yes
Apply the factors
as per the priority indicated by the Cause and Effect Relationship Diagrams
Apply the factors
as per the priority indicated by the Cause and Effect Relationship Diagrams
Fig. 2 DEMATEL application procedure
TABLE II, SCORE FOR PAIR WISE COMPARISONS [16].
Sl.No.
Degree of influence
Score
1.
No influence
0
2.
Low influence
1
3.
Medium influence
2
4.
High influence
3
5.
Very high influence
4
The sum of rows and the sum of columns of the total relation matrix T are denoted as vector r and vector c. The sum (ri+cj) gives an index called the Position representing the total effects both given and received by the
ith factor, ie, (ri+cj) shows the degree of importance that the ith factor plays in the system (total sum of effects given and received). The difference (ri-cj) gives an index called the Relation shows the net effect, the ith factor contributes to the system. If (ri-cj) is positive, then ith factor is a net causer and if (ri-cj) is negative, then ith factor is a net receiver. The Cause and Effect Relationship diagram is constructed by mapping all coordinate sets of (ri+cj, ri-cj) to judge the significant factors and their influence on other factors.
-
Ranking of Factors and Criteria.
Principle of Decomposition, Principle of Comparative Judgment and Principle of Synthesis of Priorities are the three basic principles of AHP. In this article AHP is applied in nine steps as follows[19]:-
Step 1: Set-up Hierarchy: The basic linear hierarchical structure shown in Fig.3 is a top down approach consisting of Goal (Level-1), Criteria (Level-2) and Alternatives (Level-3).
Level 1
Goal
Selection of Suitable LDS for MSW
Level 1
Goal
Selection of Suitable LDS for MSW
Level 2
Criteria
Influencing Factors and Criteria
Level 2
Criteria
Influencing Factors and Criteria
Level 3
Alternatives
Alternative LDS locations
Level 3
Alternatives
Alternative LDS locations
Fig. 3, Model Linear Hierarchy of AHP
In this current research the Goal is to select an alternative LDS for CMA by pair-wise comparison with Factor/Criteria shown in Fig. 4.
Suitable LDS for MSW
Let C1,.., Cn are elements of some level in a hierarchy and w1,, wn, are weights of influence on some elements in the next level to be found. The elements of the matrix are selected representing judgment of pair-wise comparisons. If aij is the element of row i" and column j of the matrix, then 1/aij is the element of row j and column i of the matrix. ie aji=1/aij. If the element aij indicate the strength of C1 when compared with Cj. This matrix is denoted by matrix A. When aji=1/aij, matrix A becomes reciprocal. If judgment is perfect in all comparisons, then aik = aij* ajk., for all i,j,k and the matrix A becomes consistent. The matrix A has been shown as Fig. 5.
Fig. 5, Comparison Reciprocal Matrix
Step 3: Priority Vector for Criteria: The pair-wise comparison reciprocal matrix is obtained by:-
-
Sum the values in each column of the pair-wise comparison reciprocal matrix.
-
Divide each value by the corresponding column sum to get the Normalized Matrix.
-
Average the values in each row of the normalized matrix and compute the Priority Vector.
-
Step 4: Compare Alternatives: Repeat the step i" to iii for each alternatives.
Fx or FxCy |
|
Location E |
Fx or FxCy |
|
Location E |
Step 5: Priority Vector for Alternatives: Compute the
Fx or FxCy
Location
A
Fx or FxCy
Location
B
Fx or FxCy
Location
C
Fx or FxCy
Location
D
overall score for each decision alternatives.
Step 6: Overall Priority Vector: Rank the decision alternatives, according to the magnitude.
Step 7: Consistency Index: CI=( max n)/(n-1), where, max is the Principal Eigen value and n is the order of the matrix.
Step 8: Consistency Ratio: CR = CI/RI, where RI is the
Fig. 4, The Proposed Hierarchy Structure of AHP
Step 2: Compare Criteria: The pair-wise comparison elements of one level with another level in their strength of influence are made by collecting the data through survey conducted in MTC. The pair wise comparisons are rated by nine point Saatys scales for pair wise comparisons[18] as given in Table III.
Comparison Judgments |
Numerical value |
Equally preferred |
1 |
Moderately preferred |
3 |
Strongly preferred |
5 |
Very strongly preferred |
7 |
Extremely preferred |
9 |
Intermediate values |
2,4,6 8 |
Reciprocals for inverse comparisons |
Comparison Judgments |
Numerical value |
Equally preferred |
1 |
Moderately preferred |
3 |
Strongly preferred |
5 |
Very strongly preferred |
7 |
Extremely preferred |
9 |
Intermediate values |
2,4,6 8 |
Reciprocals for inverse comparisons |
TABLE III, THE SAATYS SCALE [18].
Random Index as given in Table V.
TABLE V, VALUES FOR RANDOM INDEX [18].
n |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
RI |
0.00 |
0.00 |
0.58 |
0.90 |
1.12 |
1.24 |
1.32 |
1.41 |
1.45 |
1.49 |
Step 9: Check for Consistency: If 0 CR 0.1, then the judgment is perfectly consistent and the criteria/alternative can be accepted and if CR>0.1, the judgment is inconsistent and untrustworthy. Hence it need to revise the subjective judgment.
V. AN ILLUSTRATIVE CASE APPLICATION The proposed hybrid model is demonstrated with the
help of 6 conjured LDS to show that how suitable sites could be identified and ranked by the combination of DEMATEL
and AHP methods. MS-Excel spread sheet has been used for all numerical calculations throughout this research work. This
TABLE VIII, PREFERENCE (PAIR-WISE COMPARISON) NORMALIZED MATRIX FOR FACTORS BY DM GROUP
proposed technique allowed for an often qualitative assessment of site selection to be replaced by a more quantitative, informed and unbiased method.
A. Applying DEMATEL on six Factors
Each Expert Committee members performed the pair-
Factors F1
F2 F3
F4 F5
F6 Sum Priority
F1 |
0.06 |
0.03 |
0.08 |
0.06 |
0.05 |
0.08 |
0.36 |
0.07 |
F2 |
0.13 |
0.06 |
0.06 |
0.04 |
0.04 |
0.17 |
0.50 |
0.08 |
F3 |
0.31 |
0.38 |
0.38 |
0.45 |
0.33 |
0.33 |
2.18 |
0.32 |
F4 |
0.25 |
0.19 |
0.19 |
0.22 |
0.33 |
0.17 |
1.35 |
0.25 |
F1 |
0.06 |
0.03 |
0.08 |
0.06 |
0.05 |
0.08 |
0.36 |
0.07 |
F2 |
0.13 |
0.06 |
0.06 |
0.04 |
0.04 |
0.17 |
0.50 |
0.08 |
F3 |
0.31 |
0.38 |
0.38 |
0.45 |
0.33 |
0.33 |
2.18 |
0.32 |
F4 |
0.25 |
0.19 |
0.19 |
0.22 |
0.33 |
0.17 |
1.35 |
0.25 |
Vector
wise comparisons of 6 Factors and hence nine Direct Answer Matrix are formulated as per the Step-1 of Fig.2. and Original Average Matrix B has been computed as per Step-2. The Normalized Initial Direct Influence Matrix D has been computed by as per Step-3 and Total Relation Matrix T has been computed as per Step-4 and presented in Table VI, VII and VIII.
TABLE VI, POSITIONS AND RELATIONS AMONG FACTORS.
F5 0.19 0.31 0.19 0.11 0.16 0.17 1.13 0.221
F6 0.06 0.03 0.10 0.11 0.08 0.08 0.47 0.09
Principal eign value max= 6.35 Consistency index (I) 0.07
Consistency Ratio (CR) 0.06 < 0.1
Initially the ranking of LDS was formulated by applying the global weight obtained from AHP and results are presented in Table IX.
F1 F2 F3 |
F4 |
F5 F6 |
ri |
cj |
ri+ cj |
ri- cj |
||||||||
F1 |
1.18 1.29 1.33 |
1.24 |
1.14 1.34 |
7.52 |
8.77 |
16.29 |
-1.25 |
TABLE IX, RANKING OF LDS BY AHP GLOBAL WEIGHT |
||||||
F2 |
1.24 1.31 1.27 |
1.34 |
1.19 1.42 |
7.77 |
8.69 |
16.46 |
-0.92 |
AHP Priority |
||||||
F3 |
1.69 1.73 1.81 |
1.75 |
1.83 1.74 |
10.55 |
8.92 |
19.47 |
1.63 |
F1 F2 F3 F4 F5 F6 Global Vector |
||||||
F4 |
1.73 1.68 1.96 |
1.67 |
1.51 1.57 10.12 8.51 |
18.63 |
1.61 |
Weight |
||||||||
F5 |
1.64 1.56 1.34 |
1.3 |
1.49 1.64 9.04 8.29 |
17.33 |
0.75 |
Site A |
0.09 |
0.07 |
0.06 |
0.08 |
0.06 |
0.06 |
0.08 |
06.79% |
F6 |
1.29 1.12 1.21 |
1.14 |
1.13 1.14 7.03 8.85 |
15.88 |
-1.82 |
Site B |
0.14 |
0.15 |
0.18 |
0.16 |
0.17 |
0.17 |
0.09 |
16.70% |
F1 F2 F3 |
F4 |
F5 F6 |
ri |
cj |
ri+ cj |
ri- cj |
||||||||
F1 |
1.18 1.29 1.33 |
1.24 |
1.14 1.34 |
7.52 |
8.77 |
16.29 |
-1.25 |
TABLE IX, RANKING OF LDS BY AHP GLOBAL WEIGHT |
||||||
F2 |
1.24 1.31 1.27 |
1.34 |
1.19 1.42 |
7.77 |
8.69 |
16.46 |
-0.92 |
AHP Priority |
||||||
F3 |
1.69 1.73 1.81 |
1.75 |
1.83 1.74 |
10.55 |
8.92 |
19.47 |
1.63 |
F1 F2 F3 F4 F5 F6 Global Vector |
||||||
F4 |
1.73 1.68 1.96 |
1.67 |
1.51 1.57 10.12 8.51 |
18.63 |
1.61 |
Weight |
||||||||
F5 |
1.64 1.56 1.34 |
1.37 |
1.49 1.64 9.04 8.29 |
17.33 |
0.75 |
Site A |
0.09 |
0.07 |
0.06 |
0.08 |
0.06 |
0.06 |
0.08 |
06.79% |
F6 |
1.29 1.12 1.21 |
1.14 |
1.13 1.14 7.03 8.85 |
15.88 |
-1.82 |
Site B |
0.14 |
0.15 |
0.18 |
0.16 |
0.17 |
0.17 |
0.09 |
16.70% |
The Cause and Effect Relationship (CER) among the six factors are constructed and shown in Fig.6.
F4
F3
F4
F3
F5
F5
Site C 0.26 0.26 0.24 0.31 0.22 0.25 0.34 25.52%
Site D 0.19 0.14 0.20 0.15 0.19 0.10 0.20 17.43%
Site E 0.22 0.18 0.20 0.23 0.26 0.28 0.21 22.42%
Site F 0.10 0.21 0.11 0.07 0.10 0.14 0.09 11.14%
Next the CER computed from the DEMATEL has been synthesized and applied to AHP as global weight to rank the LDS. The results are presented in Table X.
TABLE X, RANKING OF LDS BY DEMATEL GLOBAL WEIGHT
2
1.5
1
0.5
0
-0.5 15
-1
-1.5
-2
2
1.5
1
0.5
0
-0.5 15
-1
-1.5
-2
16
16
17
F2 F1
17
F2 F1
18
18
19
19
20
20
Global
Global
F1 F2 F3 F4 F5 F6 DEMATEL Priority
Vector
F6
F6
Weight Site A 0.09 0.07 0.06 0.08 0.06 0.06 0.05 06.47%
Site B 0.14 0.15 0.18 0.16 0.17 0.17 0.06 16.30%
Fig. 6, Cause and Effect Relationship among the Six Fa |
ctors Site C |
0.26 |
0.26 |
0.24 |
0.31 |
0.22 |
0.25 |
0.37 |
25.98% |
B. Applying AHP to rank the sites |
Site D |
0.19 |
0.14 |
0.20 |
0.15 |
0.19 |
0.10 |
0.21 |
18.01% |
Site E |
0.22 |
0.18 |
0.20 |
0.23 |
0.26 |
0.28 |
0.23 |
23.23% |
Fig. 6, Cause and Effect Relationship among the Six Fa |
ctors Site C |
0.26 |
0.26 |
0.24 |
0.31 |
0.22 |
0.25 |
0.37 |
25.98% |
B. Applying AHP to rank the sites |
Site D |
0.19 |
0.14 |
0.20 |
0.15 |
0.19 |
0.10 |
0.21 |
18.01% |
Site E |
0.22 |
0.18 |
0.20 |
0.23 |
0.26 |
0.28 |
0.23 |
23.23% |
The AHP has been applied on the six factors and the Expert Committee members are acted upon the role of Decision Makers (DM). Since AHP technique can be applied using different methods i.e. Eigen Vector/Value Method, Geometric Mean Method and Arithmetic Mean Method. In this current research work Geometric Mean Method has applied and MS-Excel spread sheet was used for arithmetic calculations.
TABLE VII, PREFERENCE (PAIR-WISE COMPARISON) NORMALIZED MATRIX FOR FACTORS BY SINGLE DM
Factors F1 F2 F3 F4 F5 F6 Sum Priority
Vector
F1 0.08 0.07 0.09 0.06 0.07 0.09 0.46 0.08
F2 0.08 0.07 0.09 0.06 0.05 0.18 0.53 0.09
F3 0.31 0.30 0.35 0.39 0.39 0.27 2.01 0.34
F4 0.23 0.22 0.18 0.19 0.20 0.18 1.20 0.20
F5 0.23 0.30 0.18 0.19 0.20 0.18 1.28 0.21
F6 0.08 0.04 0.12 0.10 0.10 0.09 0.52 0.09
Principal eign valuemax= 6.21
Consistency index (I) 0.04
Consistency Ratio (CR) 0.03 < 0.1
Site F 0.10 0.21 0.11 0.07 0.10 0.14 0.08 10.01%
The comparative analysis among the six locations chosen for the study to select the best suitable LDS as per the local conditions has been depicted in Table XI.
TABLE XI, FINAL RANKING OF LDS
AHP |
DAHP |
Rank |
|
Site A |
06.79% |
06.47% |
VI |
Site B |
16.70% |
16.30% |
IV |
Site C |
25.52% |
25.98% |
I |
Site D |
17.43% |
18.01% |
III |
Site E |
22.42% |
23.23% |
II |
Site F |
11.14% |
10.01% |
V |
The results are also been presented graphically as bar chart in Fig. 7.
30%
25%
20%
15%
10%
5%
0%
AHP DAHP
Site A Site B Site C Site D Site E Site F
Fig. 7, Final Ranking of LDS
VI RESULTS AND DISCUSSION
uniqueness of the current study stems from the fact that the Environmental Factors were consider as the crucial governing factors for selection of suitable LDS for MSW. Even though the AHP method and the integrated DEAMTEL and AHP methods are yielding to the identical results, the integrated approach converged into more precisely distinguished the goals. This helps the waste planners from pitfall of selecting a wrong LDS which follows very close to the best one with marginal difference. The superiority of the proposed integrated MCDM method stems from its inherent flexibility in its application to dissimilar sites with diverse local conditions[24].
REFERNCES
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Prioritization of factors by DEMATEL
The analysis of Total Relation Matrix depicted as Table VI and CER diagram given in Fig.6 shows that Environmental Factor (F3) is the most important factor having the largest (r+c) value ie. 19.47, wheeas Financial Factor (F6) is least important factor having the smallest (r+c) value ie. 15.88. According to the degree of significance, the magnitude of the factors are recognized as F3>F4>F5>F2>F1>F6. And also the (r-c) values helps to classify the factors into:- (1) Cause Group and (2) Effect Group.
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Cause Group Factors
Factors with positive (r-c) value are classified as Net Causer or Cause Group which directly affects other factors and their degree of impact are proportionate to their numerical values. The CER diagram shown as Fig.6, reveals that, Environmental Factor (F3), Hydrology and Hydrogeology Factor (F4), Social, Legal and Political Factors (F5) are fall into the Cause Group, since their (r-c) values are 1.63, 1.61 and 0.75.
-
Effect Group
Factors with negative (r-c) value are classified as Net Receiver or Effect Group and largely influenced by other factors. Accordingly Transport Factor (F2), Receptor Factor (F1) and Financial Factor (F6) are fall into the Effect Group, since their (r-c) values are -0.92, -1.25 and-1.82.
-
-
Ranking of sites by AHP
Ranking of sites by AHP has been worked out separately with global weight obtained from AHP method as well the DEMATEL method. The end results of both the methods agree that Site 'C' is most preferred and Site A is least preferred. The order of preference is Site 'C' > Site 'E' > Site 'D > Site 'B' > Site 'A.
VII CONCLUSIONS
This paper presents a hybrid model of MCDM approach by integrating DEMATEL and AHP to identify the most suitable site for disposing of MSW from Greater Chennai Metropolitan Area. The study was based upon a set of factors and key criteria, which were selected based upon the already available knowledge from research literature as well as the pre-existing local level factors of the area. Even though the basic factors to be assessed for LDS are universally the same, different area may have different sets of local conditions. The
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