Stochastic Transportation Problem with Cauchy Random Variables and Multi Choice Parameters

Abstract

In this paper, single objective and multi-objective stochastic transportation problem with Cauchy random variables and their deterministic equivalents are presented. Multi-choice programming solves some optimization problems, where multiple information exists for a parameter. A stochastic transportation problem in which the source parameters are either Cauchy random variables or multi-choice type and the demand parameters are either multi-choice type or Cauchy random variables is presented in this paper. The proposed stochastic transportation problem is converted to an equivalent deterministic problem and solved by goal programming method. A Numerical example is presented to illustrate the solution procedure.