Shima Golmohamadi - M.Sc. student, Department of Industrial Engineering, Science and Technology University of Mazandaran, Behshahr, Iran
Mostafa Hajaghaei-Keshteli - Assistant Prof., Department of Industrial Engineering, Science and Technology University of Mazandaran, Behshahr, Iran
Reza Tavakkoli-Moghaddam - Prof., School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

This paper considers a fixed-charge transportation problem (FCTP). In most real world application and problems, a homogeneous product iscarried from an origin to a destination using different transportation modes (e.g., road, air, rail and water). This paper investigates a fixed charge solid transportation problem (FCSTP) under a fuzzy environment, in which the both direct and fixed costs are supposed to be fuzzy numbers. To solve such a hard problem, two meta-heuristicalgorithms, namely imperialist competitive algorithm (ICA) and simulated annealing (SA), are utilized. To tune up their parameters,various problem sizes are generated at random and then a robust calibration is applied to the parameters using the Taguchi method. Then, computational results are presented and analyzed

fixed-charge transportation, fuzzy environment, meta-heuristics,Taguchi method