Capacitated location allocation problem with stochastic location and fuzzy demand: A hybrid algorithm |
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Authors: | Seyed Mohsen Mousavi Seyed Taghi Akhavan Niaki |
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Institution: | 1. Department of Industrial Engineering, Faculty of Industrial & Mechanical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran;2. Department of Industrial Engineering, Sharif University of Technology, P.O. Box 11155-9414 Azadi Ave., Tehran 1458889694, Iran |
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Abstract: | In this article, a capacitated location allocation problem is considered in which the demands and the locations of the customers are uncertain. The demands are assumed fuzzy, the locations follow a normal probability distribution, and the distances between the locations and the customers are taken Euclidean and squared Euclidean. The fuzzy expected cost programming, the fuzzy β-cost minimization model, and the credibility maximization model are three types of fuzzy programming that are developed to model the problem. Moreover, two closed-form Euclidean and squared Euclidean expressions are used to evaluate the expected distance between customers and facilities. In order to solve the problem at hand, a hybrid intelligent algorithm is applied in which the simplex algorithm, fuzzy simulation, and a modified genetic algorithm are integrated. Finally, in order to illustrate the efficiency of the proposed hybrid algorithm, some numerical examples are presented. |
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Keywords: | Location allocation problem Fuzzy programming Fuzzy simulation Hybrid intelligent algorithm Evaluating expected distance |
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