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The steady-state solution of the M/K2/m queue

Published online by Cambridge University Press:  01 July 2016

Per Hokstad
Per Hokstad*
Affiliation:
University of Trondheim
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Abstract

The many-server queue with service time having rational Laplace transform of order 2 is considered. An expression for the asymptotic queue-length distribution is obtained. A relatively simple formula for the mean queue length is also found. A few numerical results on the mean queue length and on the probability of having to wait are given for the case of three servers. Some approximations for these quantities are also considered.

Keywords

MANY SERVER QUEUEQUEUE LENGTH
Type
Research Article
Information
Advances in Applied Probability , Volume 12 , Issue 3 , September 1980 , pp. 799 - 823
Copyright
Copyright © Applied Probability Trust 1980 

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