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Moments of losses during busy-periods of regular and nonpreemptive oscillating MX/G/1/n systems

dc.contributor.authorFerreira, Fátima
dc.contributor.authorPacheco, António
dc.contributor.authorRibeiro, Helena
dc.date.accessioned2025-07-22T15:31:42Z
dc.date.available2025-07-22T15:31:42Z
dc.date.issued2015-05-28
dc.description.abstractThis work addresses loss characteristics associated to busy-periods of regular and nonpreemptive oscillating M X /G/1/n systems. By taking advantage of the Markov regenerative structure of the number of customers in the system and resorting to results on moments of compound mixed Poisson distributions, it proposes a fast and easy to implement recursive procedure to compute integer moments of the number of customers lost in busy periods initiated with multiple customers in the system.eng
dc.description.sponsorshipThis research was partially supported by Fundação para a Ciência e a Tecnologia (FCT), in particular through projects UID/Multi/04621/2013, PEst-OE/MAT/UI0822/2014, and PEst OE/MAT/UI4080/2014. The authors are grateful to the anonymous referees, whose suggestions contributed to improve a previous version of the paper
dc.identifier.citationFerreira, F., Pacheco, A. & Ribeiro, H. Moments of losses during busy-periods of regular and nonpreemptive oscillating MX/G/1/n. Ann Oper Res 252, 191–211 (2017). https://doi.org/10.1007/s10479-015-1901-x
dc.identifier.doi10.1007/s10479-015-1901-x
dc.identifier.issn0254-5330
dc.identifier.issn1572-9338
dc.identifier.urihttp://hdl.handle.net/10400.8/13754
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Science and Business Media LLC
dc.relationUID/Multi/04621/2013
dc.relationPEst-OE/MAT/UI0822/2014
dc.relationPEst OE/MAT/UI4080/2014
dc.relation.ispartofAnnals of Operations Research
dc.rights.uriN/A
dc.subjectBatch arrivals
dc.subjectOscillating system
dc.subjectBusy-periods
dc.subjectCustomer losses
dc.subjectMoments
dc.subjectCompound mixed-Poisson
dc.titleMoments of losses during busy-periods of regular and nonpreemptive oscillating MX/G/1/n systemseng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage211
oaire.citation.issue1
oaire.citation.startPage191
oaire.citation.titleAnnals of Operations Research
oaire.citation.volume252
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

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