Multi-Objective Stochastic Transportation Problem Involving Three-Parameter Extreme Value Distribution
Yugoslav journal of operations research, Tome 29 (2019) no. 3, p. 337
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
Keywords: Multi-Objective Programming, Stochastic Programming Problem, Transportation Problem, Extreme Value Distribution, $\epsilon$-Constraint Method
@article{YJOR_2019_29_3_a3,
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}},
journal = {Yugoslav journal of operations research},
pages = {337 },
year = {2019},
volume = {29},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2019_29_3_a3/}
}
TY - JOUR AU - Mitali Madhumita Acharya AU - Adane Abebaw Gessesse AU - Rajashree Mishra AU - Srikumar Acharya TI - Multi-Objective Stochastic Transportation Problem Involving Three-Parameter Extreme Value Distribution JO - Yugoslav journal of operations research PY - 2019 SP - 337 VL - 29 IS - 3 UR - http://geodesic.mathdoc.fr/item/YJOR_2019_29_3_a3/ LA - en ID - YJOR_2019_29_3_a3 ER -
%0 Journal Article %A Mitali Madhumita Acharya %A Adane Abebaw Gessesse %A Rajashree Mishra %A Srikumar Acharya %T Multi-Objective Stochastic Transportation Problem Involving Three-Parameter Extreme Value Distribution %J Yugoslav journal of operations research %D 2019 %P 337 %V 29 %N 3 %U http://geodesic.mathdoc.fr/item/YJOR_2019_29_3_a3/ %G en %F YJOR_2019_29_3_a3
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/