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An explicit upper bound for the mean busy period in a GI/G/1 queue
Richard Loulou
Journal:

Journal of Applied Probability / Volume 15 / Issue 2 / June 1978

Published online by Cambridge University Press:

14 July 2016, pp. 452-455

Print publication:

June 1978
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In this paper, an upper bound is derived for the mean busy cycle duration in GI/G/1 queues. The bound is of the form A/(1 – ρ), where ρ is the traffic intensity and A involves three moments of the basic random variables of the queue. The proof uses a well-known result of random walk theory.

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An explicit upper bound for the mean busy period in a GI/G/1 queue