Multi-choice stochastic transportation problem involving Weibull distribution

Multi-choice stochastic transportation problem involving Weibull distribution

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Article ID: iaor201525142
Volume: 21
Issue: 1
Start Page Number: 38
End Page Number: 58
Publication Date: Jul 2014
Journal: International Journal of Operational Research
Authors:
Keywords: transportation: general, decision theory: multiple criteria, stochastic processes, demand, programming: transportation
Abstract:

This paper presents a multi‐choice stochastic transportation problem (TP) where the supply and demand parameters of the constraints follow Weibull distribution. The cost coefficients of the objective function associated with TP are multi‐choice type. At first, all the stochastic constraints are transformed into deterministic constraints using stochastic programming approach. Multi‐choice type cost coefficients are tractabled by introducing binary variables in the multi‐choice programming. Secondly, the transformed problem is considered as a deterministic multi‐choice transportation problem. Finally, a numerical example is presented to illustrate the methodology.

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