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A diffusion model for two parallel queues with processor sharing: transient behavior and asymptotics
1999
Journal of Applied Mathematics and Stochastic Analysis
We consider two identical, parallel M/M/1 queues. Both queues are fed by a Poisson arrival stream of rate I and have service rates equal to #. When both queues are non-empty, the two systems behave independently of each other. However, when one of the queues becomes empty, the corresponding server helps in the other queue. This is called head-@the-line processor sharing. We study this model in the heavy traffic limit, where p 1/#1. We formulate the heavy traffic diffusion approximation and
doi:10.1155/s1048953399000295
fatcat:fmixb2737bhvfgfba2s4j6hjiu