Stochastic Based on Multi-objective Transportation Problems Involving Normal Randomness

Abstract

This paper is concerned with the use of fuzzy programming technique to the objec- tive function, and the stochastic method have been applied for the randomness of sources and destination parameters in inequality type of constraints of multi-objective stochastic unbalanced transportation problem. In this paper, we focus on the solution procedure of the specified prob- lems where the objective functions are minimization type (i.e. non-commensurable and conflict- ing in nature) and the supplies and demands are replaced by the random variables. By using the chance constrained technique we first converted the multi-objective stochastic transportation problem multi-objective into equivalent deterministic transportation problem. By introducing the concept of linear membership function of fuzzy programming, multi-objective deterministic transportation problem is to convert into single objective deterministic transportation problem