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On the probability that the kth customer finds an M/M/1 queue empty
Published online by Cambridge University Press: 01 July 2016
Abstract
A result relating the probability that kth customer finds the system empty to the distribution of the number of customers served in a busy period, for an M/M/1 queue, has been obtained. This relationship is similar to the relationship between the probability that the queue is empty at time t and the distribution of the length of the busy period.
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- Copyright © Applied Probability Trust 1992
Footnotes
This work was done while this author was a Visiting Scientist at UNB.
Research supported in part by NSERC of Canada, Grant OGP0004850.
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