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On retrial queueing model with fuzzy parameters

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  • Ke, Jau-Chuan
  • Huang, Hsin-I
  • Lin, Chuen-Horng
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    Abstract

    This work constructs the membership functions of the system characteristics of a retrial queueing model with fuzzy customer arrival, retrial and service rates. The α-cut approach is used to transform a fuzzy retrial-queue into a family of conventional crisp retrial queues in this context. By means of the membership functions of the system characteristics, a set of parametric non-linear programs is developed to describe the family of crisp retrial queues. A numerical example is solved successfully to illustrate the validity of the proposed approach. Because the system characteristics are expressed and governed by the membership functions, more information is provided for use by management. By extending this model to the fuzzy environment, fuzzy retrial-queue is represented more accurately and analytic results are more useful for system designers and practitioners.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106007990
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 374 (2007)
    Issue (Month): 1 ()
    Pages: 272-280

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    Handle: RePEc:eee:phsmap:v:374:y:2007:i:1:p:272-280

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Fuzzy parameters; Membership functions; Non-linear programming; Retrial queue;

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    Cited by:
    1. Blanc, J.P.C. & Hertog, D. den, 2008. "On Markov Chains with Uncertain Data," Discussion Paper 2008-50, Tilburg University, Center for Economic Research.

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