Sojourn times in a two-stage queueing network with blocking

dc.contributor.authorGómez-Corral, Antonio
dc.date.accessioned2023-06-20T09:36:14Z
dc.date.available2023-06-20T09:36:14Z
dc.date.issued2004
dc.description.abstractThe model considered in this paper involves a tandem queue consisting of a sequence of two waiting lines. The main feature of our model is blocking, i.e., as soon as the second waiting line reaches a certain upper limit, the first line is blocked. The input of units to the tandem queue is the MAP (Markovian arrival process), and service requirements are of phase type. Our objective is to study the sojourn time distribution under the first-come-first-serve discipline by analyzing the sojourn time through times until absorption in appropriately defined quasi-birth-and-death processes and continuous-time Markov chains.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGINV
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15625
dc.identifier.doi10.1002/nav.20044
dc.identifier.issn0894-069X
dc.identifier.officialurlhttps://onlinelibrary.wiley.com/doi/abs/10.1002/nav.20044
dc.identifier.relatedurlhttp://www.wiley.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50011
dc.issue.number8
dc.journal.titleNaval Research Logistics (NRL)
dc.language.isoeng
dc.page.final1089
dc.page.initial1068
dc.publisherJohn Wiley & Sons Inc
dc.relation.projectIDBFM2002-02189
dc.rights.accessRightsrestricted access
dc.subject.cdu519.8
dc.subject.keywordBlocking
dc.subject.keywordMarkovian arrival process
dc.subject.keywordphase type distribution
dc.subject.keywordquasi-birth-anddeath process
dc.subject.keywordtandem queue
dc.subject.ucmInvestigación operativa (Matemáticas)
dc.subject.unesco1207 Investigación Operativa
dc.titleSojourn times in a two-stage queueing network with blocking
dc.typejournal article
dc.volume.number51
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