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Modeling Queueing Systems Using Fuzzy Estimators

Author

Listed:
  • G.N. Botzoris

    (Democritus University of Thrace. Department of Civil Engineering. Section of transportation, Greece)

  • B.K. Papadopoulos

    (Democritus University of Thrace. Department of Civil Engineering. Section of mathematics, Greece)

  • D.S. Sfiris

    (Democritus University of Thrace. Department of Civil Engineering. Section of mathematics, Greece)

Abstract

Queuing modeling is the mathematical approach for the analysis of waiting lines. The central problem in every queueing model is a trade-off decision: The manager must weigh the added cost of providing more rapid service against the inherent cost of waiting. In this paper, a new fuzzy approach to queueing modeling is presented in order to eliminate the disadvantages of point estimation and the relevant paradoxes when calculating the efficiency of a queue, in the case of unreliable data available. Both Poisson arrival rate and exponential service time are considered by using fuzzy estimators. The introduction of fuzzy estimators in performance measures of M/M/S queueing systems is presented to address the central estimation issue under uncertainty.

Suggested Citation

  • G.N. Botzoris & B.K. Papadopoulos & D.S. Sfiris, 2013. "Modeling Queueing Systems Using Fuzzy Estimators," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 0(2), pages 3-17, November.
  • Handle: RePEc:fzy:fuzeco:v:xviii:y:2013:i:2:p:3-17
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    More about this item

    Keywords

    queueing systems; fuzzy sets; fuzzy statistics; fuzzy estimators; cost of queuing system;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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