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A single server queue in discrete time with customers served in random order

Published online by Cambridge University Press:  14 July 2016

D. W. Balmer
D. W. Balmer*
Affiliation:
Salford University
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Abstract

This paper aims at showing that for the discrete time analogue of the M/G/l queueing model with service in random order and with a traffic intensity ρ > 0, the condition ρ < ∞ is sufficient in order that every customer joining the queue be served eventually, with probability one (Theorem 2).

Keywords

M/G/1 QUEUEDISCRETE TIMERANDOM SERVICE DISCIPLINE
Type
Short Communications
Information
Journal of Applied Probability , Volume 9 , Issue 4 , December 1972 , pp. 862 - 867
Copyright
Copyright © Applied Probability Trust 1972 

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References

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