Multi-choice stochastic transportation problem involving extreme value distribution

被引:62
作者
Mahapatra, Deshabrata Roy [1 ]
Roy, Sankar Kumar [1 ]
Biswal, Mahendra Prasad [2 ]
机构
[1] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, W Bengal, India
[2] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
关键词
Multi-choice programming; Stochastic programming; Extreme value distribution; Transportation problem; Transformation technique; Mixed-integer programming;
D O I
10.1016/j.apm.2012.04.024
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper a multi choice stochastic transportation problem is considered where the supply and demand parameters of the constraints follow extreme value distribution. Some of the cost coefficients of the objective function are multi-choice type. At first all the probabilistic constraints are transformed into deterministic constraints. Further using the binary variables, multi-choice type cost coefficients are handled. Then the transformed problem is considered as a deterministic multi-choice transportation problem. Finally, a numerical example is presented to illustrate the solution procedure. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:2230 / 2240
页数:11
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