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A note on cycle times in tree-like queueing networks

Published online by Cambridge University Press:  01 July 2016

P. G. Harrison
P. G. Harrison*
Affiliation:
Imperial College, London
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Abstract

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Cycle-time distribution is shown to take the form of a linear combination of M Erlang-N density functions in a cyclic queueing network of M servers and N customers. For paths of m servers in tree-like networks, the components in the more complex linear combination are convolutions of Erlang-N with at most m − 1 negative exponentials.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 216 - 219
Copyright
Copyright © Applied Probability Trust 1984 

References

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