Fuzzy Fixed Charge Solid Transportation Problem and Its Algorithm

The solid transportation problem is a generalization of the traditional transportation problem in which three kinds of constraint are taken into account instead of two. In general, the three kinds of constraint are understood as source, destination, and transport mode. The fixed charge transportation problem is an extension of the traditional transportation problem in which two kinds of costs, say direct cost and fixed charge, are taken into consideration. In this paper, the fixed charge solid transportation problem with fuzzy data is modeled as a chance-constrained programming by using the credibility measure. Finally, a genetic algorithm and an illustrated example is given.