Solving Multi-objective Multi-choice Stochastic Transportation Problem with Fuzzy Programming Approach

Abstract

In this paper, a multi-objective model of transportation problem with multi-choice parameters is presented. The alternative choices of the multi-choice parameter are considered as random variables. Due to the conflicting objective functions and the multi-choice of parameters, the problem cannot be solved directly. So, we first consider the interpolating polynomials for the multi -choice parameters. Next, we use the expected value model and the chance constraint approach to convert the original problem into a crisp form which is equivalent to it. Finally, a fuzzy approach is applied to find a compromise solution.