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Waiting time approximation in single-class queueing systems with multiple types of interruptions: modeling congestion at waterways entrances

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  • Özgecan Ulusçu
  • Tayfur Altıok

Abstract

We consider a single-server queue subject to multiple types of operation-independent interruptions motivated by operations and vessel queueing at entrances of waterways. A case in point is the Strait of Istanbul. We are using waiting-time arguments and service completion time analysis to obtain the expected waiting time of a customer (vessel) in the aforementioned queue with single-class of customers and k non-simultaneous and possibly simultaneous service interruptions. In the analysis, we have used arguments and assumptions from the Strait of Istanbul that are also valid for narrow waterways at large. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:172:y:2009:i:1:p:291-313:10.1007/s10479-009-0613-5
    DOI: 10.1007/s10479-009-0613-5
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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. Bariş Tan & Emre N. Otay, 1999. "Modeling and analysis of vessel casualties resulting from tanker traffic through narrow waterways," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(8), pages 871-892, December.
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    Cited by:

    1. 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.
    2. I. Atencia & A. Pechinkin, 2013. "A discrete-time queueing system with optional LCFS discipline," Annals of Operations Research, Springer, vol. 202(1), pages 3-17, January.
    3. Jin, Cheng-Jie & Yang, Wenzhang & Jiang, Rui & Liao, Peng & Zheng, Shiteng & Wang, Hao, 2023. "Vessel-following dynamics: Experiment and modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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