Multi-objective Facility Location-allocation Problem for Mixed Environment of Continuous and Discrete Random Fuzzy Variables

In this paper it is 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 level, as the second. The fuzzy continuous and discrete demands are initially defuzzicated using chance constraint method and then for optimizing such a problem the Normalized normal constraint method is used. Consequently a set of nondominated solutions called as the Pareto frontier is generated. To illustrate the procedure of the proposed method, a numerical example is solved and a sensitivity analysis is performed. *Correspondence Author CIE42 Proceedings, 16-18 July 2012, Cape Town, South Africa © 2012 CIE & SAIIE 174-2