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Waiting and Interdeparture Times in Priority Queues with Poisson- and General-Arrival Streams

Author

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  • David A. Stanford

    (The University of Western Ontario, London, Ontario, Canada)

Abstract

This paper presents new results for the interdeparture time distributions in single-server priority queues with an arbitrary number of high-priority Poisson-arrival classes and one lowest-priority general-arrival class. Little-known results for the waiting time distributions in the same queue are presented, including a new proof for the powerful result that the waiting time distribution in the non-preemptive priority queue is insensitive to the interarrival time distributions of lower-priority classes, beyond their mean.

Suggested Citation

  • David A. Stanford, 1997. "Waiting and Interdeparture Times in Priority Queues with Poisson- and General-Arrival Streams," Operations Research, INFORMS, vol. 45(5), pages 725-735, October.
    • Handle: RePEc:inm:oropre:v:45:y:1997:i:5:p:725-735
    DOI: 10.1287/opre.45.5.725
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    Citations

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    Cited by:

    1. Walraevens, Joris & Fiems, Dieter & Wittevrongel, Sabine & Bruneel, Herwig, 2009. "Calculation of output characteristics of a priority queue through a busy period analysis," European Journal of Operational Research, Elsevier, vol. 198(3), pages 891-898, November.
    2. Sofian De Clercq & Joris Walraevens, 2020. "Delay analysis of a two-class priority queue with external arrivals and correlated arrivals from another node," Annals of Operations Research, Springer, vol. 293(1), pages 57-72, October.
    3. Ananth V. Iyer & Apurva Jain, 2004. "Modeling the Impact of Merging Capacity in Production-Inventory Systems," Management Science, INFORMS, vol. 50(8), pages 1082-1094, August.
    4. Sagnika Sen & T. S. Raghu & Ajay Vinze, 2009. "Demand Heterogeneity in IT Infrastructure Services: Modeling and Evaluation of a Dynamic Approach to Defining Service Levels," Information Systems Research, INFORMS, vol. 20(2), pages 258-276, June.
    5. Steve Drekic & David A. Stanford, 2001. "Reducing Delay in Preemptive Repeat Priority Queues," Operations Research, INFORMS, vol. 49(1), pages 145-156, February.

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