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A join the shorter queue model in heavy traffic

Published online by Cambridge University Press:  14 July 2016

Stephen R. E. Turner*
Affiliation:
University of Cambridge
*
Postal address: Statistical Laboratory, University of Cambridge, 1 Wilberforce Road, Cambridge, CB3 0WB, UK. Email address: sret1@cam.ac.uk

Abstract

We prove a new heavy traffic limit result for a simple queueing network under a ‘join the shorter queue’ policy, with the amount of traffic which has a routeing choice tending to zero as heavy traffic is approached. In this limit, the system considered does not exhibit state space collapse as in previous work by Foschini and Salz, and Reiman, but there is nevertheless some resource pooling gain over a policy of random routeing.

Type
Research Papers
Copyright
Copyright © 2000 by The Applied Probability Trust 

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