Multi-choice stochastic transportation problem involving Weibull distribution

Abstract

This paper explains the important role in application of stochastic distribution and multichoice framework on the field of transportation environment. The purpose of this paper is to providea solution procedure to multi-choice stochastic transportation problem involving the parameters assupply and demand of Weibull distribution and cost coefficients of a single criterion of minimization ofobjective function which are multi-choice in nature. At first, all stochastic constraints are transformedinto deterministic constraints by using the stochastic approach. Recently, Mahapatra et al. [14]have proposed a methodology to transfer the multi-choice stochastic transportation problem to anequivalent mathematical programming model which can accumulate a maximum of eight choices onthe cost coefficients of the objective function. In this paper, a generalized transformation technique isalso present to discuss the two types of transformation technique. Using any one of the transformationtechnique, the decision maker can handle a parameter of the cost coefficients of objective function withfinite number of choice associated with additional restriction for obtaining the equivalent deterministicform. Finally, a numerical example is provided to validate the theoretical development and solutionprocedure