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A retrial system with two input streams and two orbit queues

Abstract : Two independent Poisson streams of jobs flow into a single-server service system having a limited common buffer that can hold at most one job. If a type-i job (i=1,2) finds the server busy, it is blocked and routed to a separate type-i retrial (orbit) queue that attempts to re-dispatch its jobs at its specific Poisson rate. This creates a system with three dependent queues. Such a queueing system serves as a model for two competing job streams in a carrier sensing multiple access system. We study the queueing system using multi-dimensional probability generating functions, and derive its necessary and sufficient stability conditions while solving a boundary value problem. Various performance measures are calculated and numerical results are presented.
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https://hal.inria.fr/hal-00710225
Contributor : Konstantin Avrachenkov <>
Submitted on : Wednesday, June 20, 2012 - 12:35:53 PM
Last modification on : Thursday, September 24, 2020 - 10:22:03 AM
Long-term archiving on: : Friday, September 21, 2012 - 2:36:13 AM

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  • HAL Id : hal-00710225, version 1
  • ARXIV : 1206.5673

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Konstantin Avrachenkov, Philippe Nain, Uri Yechiali. A retrial system with two input streams and two orbit queues. [Research Report] RR-7999, INRIA. 2012. ⟨hal-00710225⟩

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