Journal of Applied Mathematics / 2014 / Article / Tab 19

Research Article

A Strategic Planning Methodology for the Multimodal Transportation Systems: A Case Study from Turkey

Table 19

The obtained objective function values for different decision variable values.

Objective function1234

1Maximization of total efficiency of transportation mode usage518131.80263932994.93222234097.9635728896.98
2Total cost minimization465213.36227104058.88196343431.6424790627.25
3Total transportation costs minimization449097.84228187951.37194722537.9727495413.39
4Total transshipment costs180339.20269793897.89258626772.565197125.33
5Facility establishment and operating costs minimization380040.40250496246.20226681286.8423814959.36
6Total time minimization180339.20260499677.23248918413.145611264.09
7Total transportation time minimization180339.20262363968.83250650082.875743885.96
8Total transshipment and storage time minimization180339.20265983512.77254730492.545283020.22

5678

1Maximization of total efficiency of transportation mode usage5970000.00140562750.0076680750.0063882000.00
2Total cost minimization5970000.00126132540.0071893500.0054239040.00
3Total transportation costs minimization5970000.00128325000.0075726500.0052598500.00
4Total transshipment costs5970000.0031702400.0020894400.0010808000.00
5Facility establishment and operating costs minimization0103960900.0063184100.0040776800.00
6Total time minimization5970000.0030525190.0019589990.0010935200.00
7Total transportation time minimization5970000.0030587350.0019564550.0011022800.00
8Total transshipment and storage time minimization5970000.0031606100.0020798100.0010808000.00

The bold written values in each column are the optimum results of the related objective function. Considering these optimum values together with the worst values of the each column, membership functions are calculated only for objective functions. Tolerance values for decision variables are not calculated since each decision maker is interested in the entire decision variables not a specific part. The model is coded and solved by using GAMS 21.6 package program.