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A Queueing System with Auxiliary Servers

Author

Listed:
  • Linda Green

    (Graduate School of Business, Columbia University, New York, New York 10027)

Abstract

We examine a queueing system with multiple primary servers and a fewer number of auxiliary servers. There are two classes of customers---those who require service from a primary server working alone and those who require service from a primary server who is assisted by an auxiliary server. Though the apparent Markovian state space is five-dimensional, we show that an aggregation results in an exact two-dimensional representation which is Markovian. Matrix geometric theory is used to obtain approximations for the mean delay and blocking probability of each customer type.

Suggested Citation

  • Linda Green, 1984. "A Queueing System with Auxiliary Servers," Management Science, INFORMS, vol. 30(10), pages 1207-1216, October.
    • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:10:p:1207-1216
    DOI: 10.1287/mnsc.30.10.1207
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    Cited by:

    1. Aksin, O. Zeynep & Harker, Patrick T., 2003. "Capacity sizing in the presence of a common shared resource: Dimensioning an inbound call center," European Journal of Operational Research, Elsevier, vol. 147(3), pages 464-483, June.
    2. Lee, Seung-Yup & Chinnam, Ratna Babu & Dalkiran, Evrim & Krupp, Seth & Nauss, Michael, 2021. "Proactive coordination of inpatient bed management to reduce emergency department patient boarding," International Journal of Production Economics, Elsevier, vol. 231(C).
    3. Hui Zhang & Thomas J. Best & Anton Chivu & David O. Meltzer, 2020. "Simulation-based optimization to improve hospital patient assignment to physicians and clinical units," Health Care Management Science, Springer, vol. 23(1), pages 117-141, March.

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