Journal Name:
- An International Journal of Optimization and Control: Theories & Applications
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Abstract (Original Language):
This paper explains the important role in application of stochastic distribution and multi-choice 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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