Garage Location Selection for Public Transportation System in Istanbul

Read this article. The study covered uses various tools to determine the best location for bus garages to operate including maintenance and repair activities. Focus on Figure 1 in the Methodology section as it visually demonstrates the analytical process.

Application

In this study we try to select the most appropriate garage location in Istanbul. The fuzzy AD and weighted fuzzy AD which is weighted by fuzzy AHP are used for the evaluation. Then the results of both methods are compared. The methodology is applied for garage location selection in both of European Side and Asian Side of Istanbul separately. The alternative garage locations and the evaluation criteria are identified according to the experts' opinions in IETT.

The alternative areas that are proposed by experts are Beylikdüzü, Arnavutköy, and Silivri in the European Side and Pendik, Sultanbeyli, and Tuzla in Asian Side of Istanbul. The number of main-criteria that we use to solve the problem is six and the number of subcriteria is eighteen. The descriptions of criteria are shown in Table 3.

Table 3 The description of the criteria.

Main criteria Subcriteria Description

Cost - C1 C11 - Investment cost The total cost that is necessary for setting up the garage
C12 - Spare parts transportation cost The cost to transfer the spare parts from their suppliers to the garages
C13 - Vehicle transport cost The cost that occurs when a bus travels without passengers to go to the garage or to the start of the lines
C14 - Operation cost The total maintenance, cleaning, and other operations’ cost

Infrastructure - C2 C21 - Municipality services Electric, water, and gas requirements supply from municipality
C22 - Technological infrastructure The infrastructure for telecommunication and internet supply

Social and economic
structure - C3
C31 - Population structure The density of the population in the regions
C32 - Urbanization of the region The immigration to the region and the population increase rate
C33 - Neighborhood response The response of the neighborhood when a new garage is set up
C34 - Behavior of the passengers The satisfaction degree of the passengers who live around the new garage

Macro factors - C4 C41 - Government policy The taxes and incentives
C42 - Reconstruction and building plans The features of the garage building

Environmental factors - C5 C51 - Effects on the open land The effect of the new garage on the social/urban life
C52 - Convenience of the land The grade of the land, stream bed situation, and earthquake risk
C53 - Effect on people's health The effect of the new garage on human health because of the exhaust, dust, smell, and so forth

Accessibility - C6 C61 - Proximity to common service areas The proximity of the new garage to the common service areas is important to decrease the dead kilometers
C62 - Proximity to the other garages The proximity of the new garage to the other garages is important to take service when a problem occurred in the new garage
C63 - Proximity to the main roads The proximity to the main roads is important to decrease the spare parts transportation cost and vehicle transport cost


Firstly we determine the weights of main and subcriteria by using the Buckley's fuzzy AHP methodology. In the first stage of this methodology, the pairwise comparisons of main and subcriteria are made by experts. The pairwise comparison matrix of main criteria is shown in Table 4. After main criteria comparisons, subcriteria comparisons are made and the weights of all criteria are calculated. The results are shown in Table 5.

Table 4 The main criteria of pairwise comparison matrix.
C1 C2 C3 C4 C5 C6

C1 (1.00 1 1.00) (0.25 0.33 0.50) (2.00 3 4.00) (0.25 0.33 0.50) (0.33 0.5 1.00) (0.20 0.25 0.33)
C2 (2.00 3 4.00) (1.00 1 1.00) (4.00 5 6.00) (4.00 5 6.00) (6.00 7 8.00) (0.20 0.25 0.33)
C3 (0.25 0.33 0.50) (0.17 0.2 0.25) (1.00 1 1.00) (1.00 1 2.00) (0.25 0.33 0.50) (0.25 0.33 0.50)
C4 (2.00 3 4.00) (0.17 0.2 0.25) (0.50 1 1.00) (1.00 1 1.00) (0.25 0.33 0.50) (0.20 0.25 0.33)
C5 (2.00 3 4.00) (0.13 0.14 0.17) (2.00 3 4.00) (2.00 3 4.00) (1.00 1 1.00) (0.20 0.25 0.33)
C6 (3.00 4 5.00) (3.00 4 5.00) (2.00 3 4.00) (3.00 4 5.00)

Table 5 The criteria weights found by fuzzy AHP.

Cost Infrastructure Social and economic structure Macrofactors Environmental factors Accessibility
C11 C12 C13 C14 C21 C22 C31 C32 C33 C34 C41 C42 C51 C52 C53 C61 C62 C63

Main criteria weights 0.077 0.077 0.077 0.077 0.353 0.353 0.052 0.052 0.052 0.052 0.073 0.073 0.133 0.133 0.133 0.388 0.388 0.388
Subcriteria weights 0.270 0.040 0.632 0.075 0.843 0.171 0.177 0.680 0.089 0.088 0.843 0.171 0.117 0.081 0.880 0.348 0.054 0.495


After determining the weights of the criteria, we apply the AD manually to find final decision. We use crisp AD for the "Cost" main criterion and fuzzy AD for other main criteria.

The system and design range are identified by experts in IETT to implement the AD methodology for European and Asian Side of Istanbul as shown in Tables 6 and 7, respectively.

Table 6 The system and design range for European Side of Istanbul.

System range Design range
   Beylikdüzü Arnavutköy Silivri

C11 55,000,000–65,000,000 34,000,000–35,000,000 40,000,000–45,000,000 30,000,00–60,000,000
C12 250,000–300,000 175,000–200,000 375,000–450,000 150,000–400,000
C13 1,250,000–1,500,000 800,000–1,000,000 2,300,000–2,500,000 900,000–2,400,000
C14 4,700,000–4,950,000 7,200,000–7,425,000 12,000,000–12,375,000 4,500,000–12,250,000
C21 8, 11, 14 8, 11, 14 8, 11, 14 minimum 12 
C22 4, 7, 10 8, 11, 14 4, 7, 10 minimum 8 
C31 4, 7, 10 8, 11, 14 8, 11, 14 minimum 8 
C32 4, 7, 10 12, 15, 18 8, 11, 14 minimum 8 
C33 12, 15, 18 8, 11, 14 8, 11, 14 minimum 8 
C34 8, 11, 14 8, 11, 14 8, 11, 14 minimum 4 
C41 8, 11, 14 8, 11, 14 12, 15, 18 minimum 12 
C42 4, 7, 10 12, 15, 18 12, 15, 18 minimum 8 
C51 4, 7, 10 8, 11, 14 8, 11, 14 minimum 8 
C52 4, 7, 10 12, 15, 18 8, 11, 14 minimum 8 
C53 4, 7, 10 8, 11, 14 8, 11, 14 minimum 8 
C61 8, 11, 14 8, 11, 14 4, 7, 10 minimum 8 
C62 8, 11, 14 12, 15, 18 4, 7, 10 minimum 8 
C63 8, 11, 14 8, 11, 14 8, 11, 14 minimum 8 


Table 7 The system and design range for Asian Side of Istanbul.

Asian Side alternatives
System range Design range
    Pendik Sultanbeyli Tuzla

C11 50,000,000–60,000,000 30,000,000–31,000,000 39,000,000–43,000,000 30,000,00–60,000,000
C12 50,000–55,000 55,000–75,000 32,000–37,000 30,000–80,000
C13 750,000–950,000 780,000–1,000,000 1,000,000–1,150,000 700,000–1,300,000
C14 4,700,000–4,950,000 5,800,000–600,000 8,800,000–9,000,000 4,500,000–10,000,000
C21 8, 11, 14 8, 11, 14 8, 11, 14 minimum 12
C22 8, 11, 14 4, 7, 10 4, 7, 10 minimum 8 
C31 4, 7, 10 4, 7, 10 8, 11, 14 minimum 8 
C32 8, 11, 14 12, 15, 18 12, 15, 18 minimum 8 
C33 4, 7, 10 12, 15, 18 8, 11, 14 minimum 8 
C34 8, 11, 14 8, 11, 14 8, 11, 14 minimum 4 
C41 8, 11, 14 12, 15, 18 12, 15, 18 minimum 12 
C42 8, 11, 14 12, 15, 18 4, 7, 10 minimum 8 
C51 4, 7, 10 8, 11, 14 8, 11, 14 minimum 8 
C52 8, 11, 14 12, 15, 18 4, 7, 10 minimum 8 
C53 4, 7, 10 8, 11, 14 8, 11, 14 minimum 8 
C61 8, 11, 14 8, 11, 14 4, 7, 10 minimum 8 
C62 4, 7, 10 12, 15, 18 4, 7, 10 minimum 8 
C63 12, 15, 18 8, 11, 14 12, 15, 18 minimum 8 

In the first stage of AD, we make the calculations without the criteria weights. The triangular fuzzy numbers for intangible factors are excellent (16, 20, 20), very good (12, 15, 18), good (8, 11, 14) , fair (4, 7, 10), and poor (0, 0, 6). The results of unweighted fuzzy axiomatic design (Tables 8 and 9) show that the alternative "Arnavutköy" for the European Side of Istanbul and the alternative "Sultanbeyli" for the Asian Side of Istanbul are selected as the new garage locations because they have the minimum information contents.

Table 8 Unit Index for unweighted information contents for European Side of Istanbul.

Alternatives I1
I2
I3
I4
I5 I6 Total
Beylikdüzü 0.250 4.407 3.354 4.407 5.492 2.322 20.231
Arnavutköy 0.250 2.822 1.769 2.822 1.980 1.980
11.622*
Silivri
0.792 4.407 2.025 1.292 1.980 4.435 14.932
*refers the most appropriate alternatives for the location selection.

Table 9 Unit Index for unweighted information contents for Asian Side of Istanbul.

Alternatives I1
I2
I3
I4
I5 I6 Total
Pendik 0.000 2.822 3.610
2.822 4.435
3.036
16.726
Sultanbeyli 0.000 4.407
2.305
1.292
1.980
1.980
11.964*
Tuzla
0.000 4.407 1.769
3.391
3.379
4.093
17.038
*refers the most appropriate alternatives for the location selection.
Experts examined that weights of criteria are not equal, so that weighted AD is used to find out realistic result. In the second stage, weighted fuzzy AD calculations are made and the weights which are calculated in fuzzy AHP are taken into account. The results in Tables 10 and 11 are obtained.

Table 10 Unit Index for weighted information contents for European Side of Istanbul.

Alternatives I1
I2
I3
I4
I5 I6 Total
Beylikdüzü 0.000 1.287 1.026
1.054
1.116
1.108
5.591
Arnavutköy 0.000 1.266
1.005
1.050
1.047
1.104
5.473*
Silivri
0.000 1.287
1.012
1.010
1.046
1.163
5.517
*refers the most appropriate alternatives for the location selection.

Table 11 Unit Index for weighted information contents for Asian Side of Istanbul.

Alternatives I1
I2
I3
I4
I5 I6 Total
Pendik 0.0 1.266
1.015
1.050
1.115
1.070
5.516
Sultanbeyli 0.0 1.287
1.007
1.010
1.047
1.104
5.455*
Tuzla
0.0 1.287
1.005
1.019
1.051
1.123
5.485
*refers the most appropriate alternatives for the location selection.
Results of weighted axiomatic design show that the alternative "Arnavutköy" for the European Side of Istanbul and the alternative "Sultanbeyli" for the Asian Side of Istanbul are selected as the new garage locations because they have the minimum information contents.