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A Queueing System with Auxiliary Servers


  • Linda Green

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


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

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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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