More-For-Less Paradox in a Transportation Problem under FuzzyEnvironments

Journal of Applied & Computational Mathematics

article

Debiprasad Acharya¹  Manjusri Basu²  Atanu Das² 

[1] Department of Mathematics, N.V.College;Department of Mathematics, University of Kalyani

关键词: Fuzzy number;    Fuzzy transportation problem;    Paradox;    Paradoxical range of flow;   

DOI  :  10.4172/2168-9679.1000202

来源: Hilaris Publisher

【 摘 要 】

In this paper, we discuss more-for-less paradox in a transportation problem under fuzzy environment with linearconstraints. In some cases of the transportation problem, an increase in the supplies and demands or in otherwords, increase in the flow results a decrease in the optimum transportation cost. This type of behavior whichmeans paradoxical, is called transportation paradox. Thereby, we establish a sufficient condition for the existenceof paradox in a transportation problem under fuzzy environment. Also we illustrate a numerical example in supportof the theory.

【 授权许可】

Unknown