Title: Multi-choice stochastic transportation problem involving Weibull distribution

Authors: Sankar Kumar Roy

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India

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.

Keywords: multi-choice transport problem; stochastic programming; Weibull distribution; multi-choice programming; transformation technique.

DOI: 10.1504/IJOR.2014.064021

International Journal of Operational Research, 2014 Vol.21 No.1, pp.38 - 58

Received: 14 Jun 2012
Accepted: 08 Jan 2013
Published online: 30 Aug 2014 *

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