Multi-choice stochastic transportation problem involving Weibull distribution
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 provide a solution procedure to multi-choice stochastic transportation problem involving the parameters as supply and demand of Weibull distribution and cost coefficients of a single criterion of minimization of objective function which are multi-choice in nature. At first, all stochastic constraints are transformed into 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 an equivalent mathematical programming model which can accumulate a maximum of eight choices on the cost coefficients of the objective function. In this paper, a generalized transformation technique is also present to discuss the two types of transformation technique. Using any one of the transformation technique, the decision maker can handle a parameter of the cost coefficients of objective function with finite number of choice associated with additional restriction for obtaining the equivalent deterministic form. Finally, a numerical example is provided to validate the theoretical development and solution procedure.
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