Geodesic
Multi-Objective Stochastic Transportation Problem Involving Three-Parameter Extreme Value Distribution
Yugoslav journal of operations research, Tome 29 (2019) no. 3, p. 337

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In this paper, we considered a multi-objective stochastic transportation problem where the supply and demand parameters follow extreme value distribution having three-parameters. The proposed mathematical model for stochastic transportation problem cannot be solved directly by mathematical approaches. Therefore, we converted it to an equivalent deterministic multi-objective mathematical programming problem. For solving the deterministic multi-objective mathematical programming problem, we used an $\epsilon$-constraint method. A case study is provided to illustrate the methodology.
Classification : 90B06, 90C15, 90C29
Keywords: Multi-Objective Programming, Stochastic Programming Problem, Transportation Problem, Extreme Value Distribution, $\epsilon$-Constraint Method 
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     author = {Mitali Madhumita Acharya and Adane Abebaw Gessesse and Rajashree Mishra and Srikumar Acharya},
     title = {Multi-Objective {Stochastic} {Transportation} {Problem} {Involving} {Three-Parameter} {Extreme} {Value} {Distribution}},
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Mitali Madhumita Acharya; Adane Abebaw Gessesse; Rajashree Mishra; Srikumar Acharya. Multi-Objective Stochastic Transportation Problem Involving Three-Parameter Extreme Value Distribution. Yugoslav journal of operations research, Tome 29 (2019) no. 3, p. 337 . http://geodesic.mathdoc.fr/item/YJOR_2019_29_3_a3/