alexa Multi Objective Optimization of Production-Distribution Problem under Fuzzy Random Environment
ISSN: 2229-8711

Global Journal of Technology and Optimization
Open Access

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Research Article

Multi Objective Optimization of Production-Distribution Problem under Fuzzy Random Environment

Muhammad Nazim*, Muhammad Hashim and Jiuping Xu

Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, P. R. China

Corresponding Author:
Muhammad Nazim
Uncertainty Decision-Making Laboratory
Sichuan University, Chengdu 610064
P. R. China
Tel: +8615928414454
E-mail: mailto:[email protected]

Received date: February 22, 2014; Accepted date: June 13, 2014; Published date: June 24, 2014

Citation: Nazim M, Hashim M, Xu J (2014) Multi Objective Optimization of Production-Distribution Problem under Fuzzy Random Environment. Global J Technol Optim 5:161 doi:10.4172/2229-8711.1000161

Copyright: © 2014 Nazim M, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.



In today competitive trade world, the managers most important concern are to make their firms viable and looking effective tools for decision making in the complex business world. This paper describes a hierarchical multi objective production-distribution planing problem under fuzzy random environment. A mathematical model is presented to describe the purpose problem. To deal the uncertain environment, the fuzzy random variables are first transformed into trapezoidal fuzzy numbers, and by using the expected value operation, the trapezoidal fuzzy numbers are subsequently defuzzified. For solving the multi-objective problem a weighted sum base genetic algorithm is applied. Finally, the result of a numerical example are presented to demonstrate the practical and efficiency of the optimized model.


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