SUNConferences, Computers and Industrial Engineering 42

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Multi-objective Facility Location-Allocation Problem with Continuous and Discrete Fuzzy Random Demands
Mahdi Bashiri, Hamed Mogouie, Hamidreza Rezaei

Last modified: 2012-06-21


In this paper a new approach is proposed for solving the facility location-allocation (FLA) problem. In this paper it has been assumed that there are two types of customer demands. Demands of the first type are discrete fuzzy random variables with a poison distribution and the second are continuous fuzzy random variables with a normal distribution. In this problem the distribution centers (DC)s, are selected and allocated in a way that not only the total transportation cost of the problem is minimized, but also the preferences of customers in linguistic terms are considered for the decision making stage. Hence, the minimization of transportation costs is assumed as the first objective and maximization of the overall customer satisfaction, as the second one. The fuzzy continuous and discrete demands are initially defuzzified using chance constraint method and then for optimizing such a problem the Normalized normal constraint method is used. Consequently a set of non-dominated solutions called as the Pareto frontier is generated. To assure the efficacy of the proposed method an extended problem from a single objective case is extracted from the literature and also a numerical example is solved and discussed.

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