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Resource pooling in queueing networks with dynamic routing

Published online by Cambridge University Press:  01 July 2016

C. N. Laws*
Affiliation:
University of Cambridge
*
Present address: Department of Statistics, University of Oxford, 1 South Parks Road, Oxford OX1 3TG, UK.

Abstract

In this paper we investigate dynamic routing in queueing networks. We show that there is a heavy traffic limiting regime in which a network model based on Brownian motion can be used to approximate and solve an optimal control problem for a queueing network with multiple customer types. Under the solution of this approximating problem the network behaves as if the service-stations of the original system are combined to form a single pooled resource. This resource pooling is a result of dynamic routing, it can be achieved by a form of shortest expected delay routing, and we find that dynamic routing can offer substantial improvements in comparison with less responsive routing strategies.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1992 

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Footnotes

Supported by SERC grants 8700117X and GR/F 94194.

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