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Waiting time approximation in multi-class queueing systems with multiple types of class-dependent interruptions

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  • Özgecan Ulusçu
  • Tayfur Altiok

Abstract

We consider a single-server queue subject to class-dependent interruptions motivated by vessel queueing at entrances of waterways. Two classes of customers and k types of possibly simultaneous and class-dependent service interruptions are considered. We have employed service completion time analysis and proposed approximations to obtain the expected waiting time of a customer (vessel) in the queue. Copyright Springer Science+Business Media, LLC 2013

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  • Özgecan Ulusçu & Tayfur Altiok, 2013. "Waiting time approximation in multi-class queueing systems with multiple types of class-dependent interruptions," Annals of Operations Research, Springer, vol. 202(1), pages 185-195, January.
    • Handle: RePEc:spr:annopr:v:202:y:2013:i:1:p:185-195:10.1007/s10479-011-0934-z
    DOI: 10.1007/s10479-011-0934-z
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    References listed on IDEAS

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    1. E. R. Petersen & A. J. Taylor, 1988. "An Optimal Scheduling System for the Welland Canal," Transportation Science, INFORMS, vol. 22(3), pages 173-185, August.
    2. N. K. Jaiswal & K. Thiruvengadam, 1963. "Simple Machine Interference with Two Types of Failure," Operations Research, INFORMS, vol. 11(4), pages 624-636, August.
    3. Özgecan Ulusçu & Tayfur Altıok, 2009. "Waiting time approximation in single-class queueing systems with multiple types of interruptions: modeling congestion at waterways entrances," Annals of Operations Research, Springer, vol. 172(1), pages 291-313, November.
    4. B. Avi-Itzhak & P. Naor, 1963. "Some Queuing Problems with the Service Station Subject to Breakdown," Operations Research, INFORMS, vol. 11(3), pages 303-320, June.
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