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A note on waiting times in systems with queues in parallel

Published online by Cambridge University Press:  14 July 2016

J. P. C. Blanc
J. P. C. Blanc*
Affiliation:
Delft University of Technology
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Abstract

Numerical data are presented concerning the mean and the standard deviation of the waiting-time distribution for multiserver systems with queues in parallel, in which customers choose one of the shortest queues upon arrival. Moreover, a new numerical method is outlined for calculating state probabilities and moments of queue-length distributions. This method is based on power series expansions and recursion. It is applicable to many systems with more than one waiting line.

Keywords

POWER SERIES EXPANSIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 540 - 546
Copyright
Copyright © Applied Probability Trust 1987 

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References

[1] CoNolly, B. W. (1984) The autostrada queueing problem. J. Appl. Prob. 21, 394–403.CrossRefGoogle Scholar
[2] Kingman, J. F. C. (1961) Two similar queues in parallel. Ann. Math. Statist. 32, 1314–1323.Google Scholar