An application of possibilistic programming to the fuzzy location–allocation problems

Authors: Abiri, Mohammad1; Yousefli, Amir2

Source: The International Journal of Advanced Manufacturing Technology, Volume 53, Numbers 9-12, April 2011 , pp. 1239-1245(7)

Publisher: Springer

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Abstract:

This paper considers location–allocation problem in the real uncertain world and develops a possibilistic non-linear programming model to deal with this problem. Fuzzy decision making in fuzzy environment concept is used to determine possibility distribution of location and allocation variables. To solve this model, a novel approach based on genetic algorithm structure is developed. As the proposed model includes both deterministic (location) and uncertain (allocation) parameters, the developed solution algorithm uses a hybrid chromosome structure. Also, to cover continuous nature of the problem and prevent GA from early convergence, a new crossover operator is introduced. Finally, performance of the developed algorithm is evaluated by an example.

Keywords: Fuzzy decision making; Fuzzy decision variables; Genetic algorithm; Location–allocation problem; Possibilistic non-linear programming

Document Type: Research Article

DOI: http://dx.doi.org/10.1007/s00170-010-2896-8

Affiliations: 1: Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran, Email: mbabiry@ustmb.ac.ir 2: Department of Industrial Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran, Email: ayousefli@ind.iust.ac.ir

Publication date: April 1, 2011

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