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A Queueing System with Auxiliary Servers

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  • Linda Green

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

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    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.

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    File URL: http://dx.doi.org/10.1287/mnsc.30.10.1207
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 30 (1984)
    Issue (Month): 10 (October)
    Pages: 1207-1216

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    Handle: RePEc:inm:ormnsc:v:30:y:1984:i:10:p:1207-1216

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    Related research

    Keywords: multiple server queues; distinguishable customers;

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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.

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