Conditions for stability and instability of retrial queueing systems with general retrial times

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dc.creatorKernane, Tewfik
dc.date2008-02-13
dc.date.accessioned2026-07-07T09:54:52Z
dc.date.available2026-07-07T09:54:52Z
dc.descriptionWe study the stability of single server retrial queues under general distribution for retrial times and stationary ergodic service times, for three main retrial policies studied in the literature: classical linear, constant and control policies. The approach used is the renovating events approach to obtain sufficient stability conditions by strong coupling convergence of the process modeling the dynamics of the system to a unique stationary ergodic regime. We also obtain instability conditions by convergence in distribution to improper limiting sequences.
dc.identifierhttps://arxiv.org/abs/0802.1812
dc.identifierhttp://arxiv.org/abs/0802.1812
dc.identifierStatistics & Probability Letters (2008) STAPRO: 5118
dc.identifierdoi:10.1016/j.spl.2008.06.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166478
dc.subjectProbability
dc.subject60K25, 90B22
dc.titleConditions for stability and instability of retrial queueing systems with general retrial times
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