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The inter-arrival times of accepted customers in an M/G/1 queue with finite capacity
Robert Gilchrist
Journal:

Journal of Applied Probability / Volume 13 / Issue 3 / September 1976

Published online by Cambridge University Press:

14 July 2016, pp. 633-638

Print publication:

September 1976
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This note draws attention to a practical problem of interest to physicists, namely the distribution of the inter-arrival times of those customers accepted by the M/D/1/K + 1 queue. The form of the distribution is found for all K and the generalisation to M/G/1/K + 1 is discussed. The approach follows the contour integral method described by Cohen.

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The inter-arrival times of accepted customers in an M/G/1 queue with finite capacity