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
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 eÃ¯Â¬Âective 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 eÃ¯Â¬Âciency of the optimized model.