Multi-Objective Stochastic Transportation Problem Involving Three-Parameter Extreme Value Distribution

Abstract

In this paper, a multi-objective stochastic transportation problem is considered
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, it is converted to an equivalent deterministic multi-objective mathematical
programming problem. An $\varepsilon$-constraint method is used to solve the multi-objective
deterministic mathematical programming problem. A case study is provided to
illustrate the methodology.