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Study of a special M/M/1 queue

Published online by Cambridge University Press:  14 July 2016

D. G. Tambouratzis
D. G. Tambouratzis*
Affiliation:
Department of Mathematics, Agricultural College, Athens, Greece
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Abstract

To optimize the performance of an M/M/s queue, Moder and Phillips [1] have studied the problem in which there are always n1 open counters ready to offer service. The actual number of open counters increases by one, up to a maximum n2, every time the number of waiting customers exceeds a certain critical number; it decreases by one every time the queue length becomes smaller than another critical number.

Type
Short Communications
Information
Journal of Applied Probability , Volume 8 , Issue 3 , September 1971 , pp. 630 - 631
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Moder, J. J. and Phillips, C. R. (1962). Queueing with fixed and variable channels Operat. Res. 10, 218–231.Google Scholar
[2] Tambouratzis, D. G. (1971). Study of a special M/M/1 queue. Proc. IVth Congress Greek Math. Soc. Patras, 23–27 May 1971.Google Scholar