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 function 1 2 3 4 1 Maximization of total efficiency of transportation mode usage 518131.80 263932994.93 222234097.96 35728896.98 2 Total cost minimization 465213.36 227104058.88 196343431.64 24790627.25 3 Total transportation costs minimization 449097.84 228187951.37 194722537.97 27495413.39 4 Total transshipment costs 180339.20 269793897.89 258626772.56 5197125.33 5 Facility establishment and operating costs minimization 380040.40 250496246.20 226681286.84 23814959.36 6 Total time minimization 180339.20 260499677.23 248918413.14 5611264.09 7 Total transportation time minimization 180339.20 262363968.83 250650082.87 5743885.96 8 Total transshipment and storage time minimization 180339.20 265983512.77 254730492.54 5283020.22 5 6 7 8 1 Maximization of total efficiency of transportation mode usage 5970000.00 140562750.00 76680750.00 63882000.00 2 Total cost minimization 5970000.00 126132540.00 71893500.00 54239040.00 3 Total transportation costs minimization 5970000.00 128325000.00 75726500.00 52598500.00 4 Total transshipment costs 5970000.00 31702400.00 20894400.00 10808000.00 5 Facility establishment and operating costs minimization 0 103960900.00 63184100.00 40776800.00 6 Total time minimization 5970000.00 30525190.00 19589990.00 10935200.00 7 Total transportation time minimization 5970000.00 30587350.00 19564550.00 11022800.00 8 Total transshipment and storage time minimization 5970000.00 31606100.00 20798100.00 10808000.00
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.