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Distribution of the number of losses in busy-periods of oscillating Mx/G/1/(n,a,b) systems

2021-05Artigo científico Acesso restrito
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datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.fosCiências Naturais::Ciências da Computação e da Informação
datacite.subject.fosCiências Sociais::Economia e Gestão
datacite.subject.sdg11:Cidades e Comunidades Sustentáveis
dc.contributor.authorFerreira, Fátima
dc.contributor.authorPacheco, António
dc.contributor.authorRibeiro, Helena
dc.date.accessioned2026-03-05T11:23:10Z
dc.date.available2026-03-05T11:23:10Z
dc.date.issued2021-05
dc.description.abstractWe analyze customer losses in busy-periods of preemptive and non-preemptive oscillating MX/G/1/(n,a,b) systems. Specifically, we propose a recursive scheme to compute the probability function of the number of customer losses in busy-periods of such systems. The effectiveness and usefulness of the proposed method is illustrated through the presentation of numerical examples that consider different arrival rates and service time and group size distributions.eng
dc.description.sponsorshipThis research was partially supported by Fundação para a Ciência e a Tecnologia (FCT) through project UID/Multi/04621/2019.
dc.identifier.citationFátima Ferreira, António Pacheco, Helena Ribeiro, Distribution of the number of losses in busy-periods of oscillating MX/G/1/(n,a,b) systems, Computers & Operations Research, Volume 129, 2021, 105180, ISSN 0305-0548, https://doi.org/10.1016/j.cor.2020.105180.
dc.identifier.doi10.1016/j.cor.2020.105180
dc.identifier.eissn1873-765X
dc.identifier.issn0305-0548
dc.identifier.urihttp://hdl.handle.net/10400.8/15785
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier
dc.relationCenter for Computational and Stochastic Mathematics
dc.relation.hasversionhttps://www.sciencedirect.com/science/article/pii/S0305054820302975?via%3Dihub
dc.relation.ispartofComputers & Operations Research
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectBusy-period
dc.subjectCustomer losses
dc.subjectMarkov regenerative processes
dc.subjectNon-preemptive systems
dc.subjectOscillating queues
dc.subjectPreemptive systems
dc.titleDistribution of the number of losses in busy-periods of oscillating Mx/G/1/(n,a,b) systemseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberUID/Multi/04621/2019
oaire.awardTitleCenter for Computational and Stochastic Mathematics
oaire.awardURIhttp://hdl.handle.net/10400.8/15783
oaire.citation.endPage11
oaire.citation.startPage1
oaire.citation.titleComputers and Operations Research
oaire.citation.volume129
oaire.fundingStreamFinanciamento do Plano Estratégico de Unidades de I&D - 2019
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
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
relation.isProjectOfPublicationb4e5c81e-491a-4e55-9b95-bb3f20270698
relation.isProjectOfPublication.latestForDiscoveryb4e5c81e-491a-4e55-9b95-bb3f20270698

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We analyze customer losses in busy-periods of preemptive and non-preemptive oscillating MX/G/1/(n,a,b) systems. Specifically, we propose a recursive scheme to compute the probability function of the number of customer losses in busy-periods of such systems. The effectiveness and usefulness of the proposed method is illustrated through the presentation of numerical examples that consider different arrival rates and service time and group size distributions.
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