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Capacitated location allocation problem with stochastic location and fuzzy demand: A hybrid algorithm

Mousavi, S. M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1016/j.apm.2012.10.038
  3. Publisher: 2013
  4. Abstract:
  5. 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
  6. Keywords:
  7. Fuzzy simulation ; Location allocation problem ; Hybrid intelligent algorithm ; Expected distance ; Fuzzy programming ; Hybrid intelligent algorithms ; Evaluating expected distance ; Algorithms ; Fuzzy systems ; Probability distributions ; Sales ; Problem solving
  8. Source: Applied Mathematical Modelling ; Volume 37, Issue 7 , 2013 , Pages 5109-5119 ; 0307904X (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0307904X12006439