The product form for sojourn time distributions in cyclic exponential queues

O.J. Boxma; F.P. Kelly; A.G. Konheim

doi:10.1145/2422.322419

The product form for sojourn time distributions in cyclic exponential queues

O.J. Boxma, F.P. Kelly, A.G. Konheim

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

Consider a closed cyclic queuing system consisting of M exponential queues. The Laplace-Stieltjes transform of the joint distribution of the consecutive sojourn times of a customer at the M queues is determined and shown to have a product form. The proof is based on a reversibility argument.

Original language	English
Pages (from-to)	128-133
Number of pages	6
Journal	Journal of the ACM
Volume	31
Issue number	1
DOIs	https://doi.org/10.1145/2422.322419
Publication status	Published - 1984

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abstract = "Consider a closed cyclic queuing system consisting of M exponential queues. The Laplace-Stieltjes transform of the joint distribution of the consecutive sojourn times of a customer at the M queues is determined and shown to have a product form. The proof is based on a reversibility argument.",

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AB - Consider a closed cyclic queuing system consisting of M exponential queues. The Laplace-Stieltjes transform of the joint distribution of the consecutive sojourn times of a customer at the M queues is determined and shown to have a product form. The proof is based on a reversibility argument.

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DO - 10.1145/2422.322419

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JF - Journal of the ACM

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The product form for sojourn time distributions in cyclic exponential queues

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