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A join the shorter queue model in heavy traffic
Part of
Stephen R. E. Turner
Journal:

Journal of Applied Probability / Volume 37 / Issue 1 / March 2000

Published online by Cambridge University Press:

14 July 2016, pp. 212-223

Print publication:

March 2000
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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.

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A join the shorter queue model in heavy traffic