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Routing Among Servers with Breakdowns and Retained Queues

Lookup NU author(s): Dr Nigel Thomas, Emeritus Professor Isi Mitrani

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Abstract

Jobs generated by a single Poisson source can be routed through N alternative gateways, modelled as parallel M/M/1 queues. The servers are subject to random breakdowns which leave their corresponding queues intact, but may affect the routing of jobs during the subsequent repair periods. The marginal equilibrium queue size distributions are determined by spectral expansion. This can be done, at least in principle, for any number of queues. Several routing strategies are evaluated and compared empirically. Numerical results, including optimal routing, are presented and possible generalizations are considered.

Publication metadata

Author(s): Thomas N, Mitrani I

Publication type: Report

Publication status: Published

Series Title: Department of Computing Science Technical Report Series

Year: 1995

Pages: 30

Report Number: 527

Institution: Department of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne

URL: http://www.cs.ncl.ac.uk/publications/trs/papers/527.pdf

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