Interacting queues in heavy traffic |
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Authors: | J A Morrison S C Borst |
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Institution: | (1) Department of Computer Science and Engineering, University of Minnesota, 200 Union Street S.E., Minneapolis, MN 55455, USA |
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Abstract: | We consider a system of parallel queues with Poisson arrivals and exponentially distributed service requirements. The various
queues are coupled through their service rates, causing a complex dynamic interaction. Specifically, the system consists of
one primary queue and several secondary queues whose service rates depend on whether the primary queue is empty or not. Conversely,
the service rate of the primary queue depends on which of the secondary queues are empty. |
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Keywords: | |
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