Fuzzy facility location-allocation problem under the Hurwicz criterion |
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Authors: | Meilin Wen Kakuzo Iwamura |
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Institution: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;2. Department of Mathematics, Josai University, Sakado, Saitama 350-0248, Japan |
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Abstract: | Facility location-allocation (FLA) problem has been widely studied by operational researchers due to its many practical applications. Many researchers have studied the FLA problem in a deterministic environment. However, the models they proposed cannot accommodate satisfactorily various customer demands in the real world. Thus, we consider the FLA problem with uncertainties. In this paper, a new model named α-cost model under the Hurwicz criterion is presented with fuzzy demands. In order to solve this model, the simplex algorithm, fuzzy simulations and a genetic algorithm are integrated to produce a hybrid intelligent algorithm. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed algorithm. |
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Keywords: | Location-allocation problem Fuzzy programming Genetic algorithm Fuzzy simulation |
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