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Analysis of finite oscillating GIX/M(m)//N queueing systems

2009-04Book part Open access
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dc.contributor.authorFerreira, Fátima
dc.contributor.authorPacheco, António
dc.contributor.authorRibeiro, Helena
dc.contributor.authorRibeiro, Helena
dc.contributor.editor
dc.date.accessioned2025-04-14T14:13:26Z
dc.date.available2025-04-14T14:13:26Z
dc.date.issued2009-04
dc.description.abstractIn this work we investigate oscillating GIX/M(m)//N systems, which are queueing systems whose service mechanism reacts to the congestion of the system; namely, the service rates oscillate between two forms according to the evolution of the number of customers in the system. Resorting to Markov chain embedding, we address the time-dependent and limit analysis of the number of customers in the system at batch prearrivals and seen by customers at their arrival to the system. These results are then used to derive the continuous-time limit distribution of the number of customers in the system. In addition, we provide some numerical examples that illustrate our approach.eng
dc.identifier.citationFerreira Fátima, Pacheco António, and Ribeiro Helena (2009), Analysis of finite oscillating GIX/M(m)//N queueing systems, Recent Advances in Stochastic Operations Research II. April 2009, 79-98. https://doi.org/10.1142/9789812791672_0007.
dc.identifier.doi10.1142/9789812791672_0007
dc.identifier.isbn9789812791665
dc.identifier.isbn9789812791672
dc.identifier.urihttp://hdl.handle.net/10400.8/12792
dc.language.isoeng
dc.peerreviewedn/a
dc.publisherWORLD SCIENTIFIC
dc.relation.hasversionhttps://www.worldscientific.com/doi/abs/10.1142/9789812791672_0007
dc.relation.ispartofRecent Advances in Stochastic Operations Research II
dc.rights.uriN/A
dc.subjectoscillating GIX/M(m)//N systems
dc.subjectqueueing systems
dc.subjectMarkov chain embedding
dc.titleAnalysis of finite oscillating GIX/M(m)//N queueing systemseng
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage98
oaire.citation.startPage79
oaire.citation.titleRecent Advances in Stochastic Operations Research II
oaire.citation.volume2
oaire.versionhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43
person.familyNameRibeiro
person.givenNameHelena
person.identifier1570599
person.identifier.ciencia-id161F-B79B-D660
person.identifier.orcid0000-0002-2429-7991
person.identifier.ridE-2944-2015
person.identifier.scopus-author-id35896704400
relation.isAuthorOfPublication51734878-db02-4a67-906d-a0161ed2e2dc
relation.isAuthorOfPublication.latestForDiscovery51734878-db02-4a67-906d-a0161ed2e2dc

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