Capacitated Facility Location Problem in random fuzzy environment: Using (α ,β)-cost minimization model under the Hurwicz criterion

Article type: Research Article

Authors: Rahmani, Arsalan | Yousefikhoshbakht, Majid

Affiliations: Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran | Young Researchers Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran

Note: [] Corresponding author. Majid Yousefikhoshbakht, Young Researchers Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran. Tel.: +98 21 64542540; Fax: +98 21 66497930; E-mails: [email protected]; [email protected]

Abstract: Capacitated Facility Location Problem (CFLP) as one of the most important problems in operations research is nowadays widely used in real life. Although many researchers have studied the CFLP in a deterministic environment, their proposed models cannot satisfactorily accommodate various customer demands in the real world. Thus, this paper focuses on the CFLP random fuzzy environment using (α ,β)-cost minimization model under the Hurwicz criterion. Furthermore, it is proved that this model can deal with various CFLPs in random, fuzzy and random fuzzy environments. In order to solve this model, the simplex algorithm, fuzzy simulations and a firefly algorithm are integrated to produce a hybrid intelligent algorithm. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed algorithm.

Keywords: Random fuzzy environment, fuzzy simulation, firefly algorithm, Capacitated Facility Location Problem, Hurewicz criterion

DOI: 10.3233/IFS-120697

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 4, pp. 953-964, 2013