Multi-choice and stochastic programming for transportation problem involved in supply of foods and medicines to hospitals with consideration of logistic distribution
RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 4, pp. 1119-1132.

The objective of the proposed article is to minimize the transportation costs of foods and medicines from different source points to different hospitals by applying stochastic mathematical programming model to a transportation problem in a multi-choice environment containing the parameters in all constraints which follow the Logistic distribution and cost coefficients of objective function are also multiplicative terms of binary variables. Using the stochastic programming approach, the stochastic constraints are converted into an equivalent deterministic one. A transformation technique is introduced to manipulate cost coefficients of objective function involving multi-choice or goals for binary variables with auxiliary constraints. The auxiliary constraints depends upon the consecutive terms of multi-choice type cost coefficient of aspiration levels. A numerical example is presented to illustrate the whole idea.

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DOI : 10.1051/ro/2019050
Classification : 90B05
Mots-clés : Multi-choice programming, stochastic programming, Logistic distribution, transportation problem, transformation technique, mixed-integer programming 
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     author = {Mahapatra, Deshabrata Roy and Panda, Shibaji and Sana, Shib Sankar},
     title = {Multi-choice and stochastic programming for transportation problem involved in supply of foods and medicines to hospitals with consideration of logistic distribution},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1119--1132},
     publisher = {EDP-Sciences},
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Mahapatra, Deshabrata Roy; Panda, Shibaji; Sana, Shib Sankar. Multi-choice and stochastic programming for transportation problem involved in supply of foods and medicines to hospitals with consideration of logistic distribution. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 4, pp. 1119-1132. doi : 10.1051/ro/2019050. http://archive.numdam.org/articles/10.1051/ro/2019050/

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