Stochastic inequalities for single-server loss queueing systems

dc.creatorAbramov, Vyacheslav M.
dc.date2005-05-04
dc.date2006-11-22
dc.date.accessioned2026-07-07T06:39:53Z
dc.date.available2026-07-07T06:39:53Z
dc.descriptionThe present paper provides some new stochastic inequalities for the characteristics of the $M/GI/1/n$ and $GI/M/1/n$ loss queueing systems. These stochastic inequalities are based on substantially deepen up- and down-crossings analysis, and they are stronger than the known stochastic inequalities obtained earlier. Specifically, for a class of $GI/M/1/n$ queueing system, two-side stochastic inequalities are obtained.
dc.description17 pages, 11pt To appear in Stochastic Analysis and Applications
dc.identifierhttps://arxiv.org/abs/math/0505068
dc.identifierhttp://arxiv.org/abs/math/0505068
dc.identifierStochastic Analysis and Applications, 24 (2006) 1205-1221
dc.identifierdoi:10.1080/07362990600958994
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101249
dc.subjectProbability
dc.subject60K25, 60E15
dc.titleStochastic inequalities for single-server loss queueing systems
dc.typetext

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