Multi-choice stochastic transportation problem involving extreme value distribution

Solving a multi-objective transportation problem with nonlinear cost and multi-choice demand

“…These constraints cannot be handled directly unless we convert them into deterministic constraints. A transformation technique has been considered by Mahapatra et al (2013) for converting from multi-choice constraints to deterministic constraints in a TP. Here, a general transformation technique is developed for implementing the same, which is shown in the following subsection.…”

“…Recently, Roy et al (2012) presented the formulation and solution procedure for multi-choice TPs involving exponential distributions. Mahapatra et al (2013) formulated and solved a multichoice stochastic TP involving an extreme value distribution. Of late, Roy (2014) described and solved a multi-choice stochastic TP involving the Weibull distribution, which has added a new dimension to real-life TPs.…”

Calculation of throughputs of intermediate centers in three-index transportation problems

“…In the well-known formulations of the transportation problem with intermediate centers, two variants of formulation of constraints (4) are considered for which constraints (5) are fulfilled [9][10][11][12][13] or not fulfilled [14][15][16]. A natural complicating generalization of the original problem arises if the set {d k } was not specified but its components must satisfy the constraints (5) for all admissible plans {X ikj }.…”

“…In this case, the problem dimensionality determined by the product of the number of variables by the number of constraints is of the order 10 8 -10 9 . Approximate methods for solving this problem are described in [1,[10][11][12][13][14]. The need to develop fairly simple approximate methods for solving transportation problems is due to the following circumstances.…”

Solving multi-choice multi-objective transportation problem: a utility function approach

“…Again in the subsequent year, Chang [2] proposed another multi-choice goal programming approach in revised form. Though the multi-choice concept discussed in both the papers of Chang [1,2] is totally http://www.juaa-journal.com/content/2/1/11 related to the goals of objective functions, recently, Mahapatra et al [3] and Roy et al [4] discussed the multi-choice stochastic transportation problem involving extreme value distribution and exponential distribution in which the multi-choice concept involved only in the cost parameters.…”