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Capacitated location allocation problem with stochastic location and fuzzy demand: A hybrid algorithm
, Article Applied Mathematical Modelling ; Volume 37, Issue 7 , 2013 , Pages 5109-5119 ; 0307904X (ISSN) ; Akhavan Niaki, S. T ; Sharif University of Technology
2013
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...