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Resource pooling in queueing networks with dynamic routing

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  01 July 2016

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

Keywords

NETWORK FLOWHEAVY TRAFFICBROWNIAN NETWORK MODELSSHORTEST DELAY ROUTINGDYNAMIC SEQUENCING

MSC classification

Primary: 90B15: Network models, stochastic
Secondary: 60K25: Queueing theory
Type
Research Article
Information
Advances in Applied Probability , Volume 24 , Issue 3 , September 1992 , pp. 699 - 726
Copyright
Copyright © Applied Probability Trust 1992 

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Footnotes

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

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