On the M/G/1 queue with D-policy

dc.contributor.authorArtalejo Rodríguez, Jesús Manuel
dc.date.accessioned2023-06-20T16:54:40Z
dc.date.available2023-06-20T16:54:40Z
dc.date.issued2001-12
dc.descriptionThis research was supported by DGICYT grant PB98-0837 and the European Commission through INTAS 96-0828. I want to thank Professors J.H. Dshalalow, B.D. Sivazlian and H.C. Tijms for their kind cooperation.
dc.description.abstractThis paper deals with the M/G/1queue with D-policy, i.e., the server is turned off at the end of a busy period and turned on when the cumulative amount of work firstly exceeds some fixed value D. We first concentrate on the computation of the steady-state probabilities. The first moments and relationships among the busy period, the number of customers served and other performance measures are investigated. Some variants of the main model and the special case of the M/M/1 are also studied.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.sponsorshipEuropean Commission
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15802
dc.identifier.doi10.1016/S0307-904X(01)00031-2
dc.identifier.issn0307-904X
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0307904X01000312
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57401
dc.issue.number12
dc.journal.titleApplied Mathematical Modelling
dc.language.isoeng
dc.page.final1069
dc.page.initial1055
dc.publisherElsevier Science Inc
dc.relation.projectIDPB98-0837
dc.relation.projectIDINTAS 96-0828
dc.rights.accessRightsrestricted access
dc.subject.cdu519.8
dc.subject.keywordM/G/1queues
dc.subject.keywordControl of the service process
dc.subject.keywordSteady-state probabilities
dc.subject.keywordMoment relationships
dc.subject.keywordRenewal theory
dc.subject.ucmInvestigación operativa (Matemáticas)
dc.subject.unesco1207 Investigación Operativa
dc.titleOn the M/G/1 queue with D-policy
dc.typejournal article
dc.volume.number25
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