Global Journal of Technology and Optimization

ISSN: 2229-8711

Open Access

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


Muhammad Nazim*, Muhammad Hashim and Jiuping Xu

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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