Fuzzy random facility location problems with recourse

Shuming Wang, Junzo Watada, Witold Pedrycz

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)

    Abstract

    The objective of this paper is to study facility location problems under a hybrid uncertain environment involving randomness and fuzziness. A two-stage fuzzy random facility location model with recourse is developed in which the demands and the costs are assumed to be fuzzy random variables. As in general the fuzzy random parameters in the model can be regarded as continuous fuzzy random variables with infinite realizations, the computation of the recourse requires solving infinite second-stage programming problems. Owing to this fact, the recourse function cannot be calculated analytically, which implies that the model cannot benefit from the use of methods of classical mathematical programming. In order to solve the location problems of this nature, we first develop techniques of fuzzy random simulation. In the sequel, by combining the fuzzy random simulation, simplex algorithm and binary particle swarm optimization (BPSO), a hybrid algorithm is proposed to solve the two-stage fuzzy random facility location model. Finally, an illustrative numerical example is provided.

    Original languageEnglish
    Title of host publicationConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
    Pages1846-1851
    Number of pages6
    DOIs
    Publication statusPublished - 2009
    Event2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX
    Duration: 2009 Oct 112009 Oct 14

    Other

    Other2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
    CitySan Antonio, TX
    Period09/10/1109/10/14

    Keywords

    • Binary particle swarm optimization
    • Facility location
    • Fuzzy random variable
    • Recourse
    • Two-stage fuzzy random programming

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Control and Systems Engineering
    • Human-Computer Interaction

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