MODELING QUEUEING SYSTEMS USING FUZZY ESTIMATORS

G.N. Botzoris, B.K. Papadopoulos and D.S. Sfiris
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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

Fuzzy Economic Review, 2013, vol. XVIII, issue 2, 3-17

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.

Keywords: queueing systems; fuzzy sets; fuzzy statistics; fuzzy estimators; cost of queuing system (search for similar items in EconPapers)
JEL-codes: C02 C60 (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:fzy:fuzeco:v:xviii:y:2013:i:2:p:3-17

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