A new model for the M/G/1 retrial queve

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dc.contributor.authorFalin, Guennadi I.
dc.contributor.authorRodrigo Fernández, Antonio
dc.contributor.authorVázquez Furelos, Mercedes
dc.date.accessioned2023-06-21T01:35:25Z
dc.date.available2023-06-21T01:35:25Z
dc.date.issued1994
dc.description.abstractThis article deals with a new model for the M/G/1 retrial queue. We consider the process (M(t),N(t)) where M(t) is the total number of arrivals from the last departure until time t and N(t) is the number of customers in orbit at time t. We obtain the generating function together with a recurrent formula for factorial moments in the steady state. Limit behavior under heavy traffic is also studied. We use this process to get an estimator of the parameter of retrial and obtain its accuracy by solving some linear differential equations. We also give some numerical examples.
dc.description.departmentDecanato
dc.description.facultyFac. de Ciencias Económicas y Empresariales
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/26374
dc.identifier.citationFalin, G. "A single-line system with secondary orders", Eng. Cybernet. Rev. 17 (2), (1978) 76-83. Falin, G. "Asymptotic propertles of the number of demands distribution in a M/G/1/oo., queueing system with repeated calls", Paper 5418-83, All-Union Institute for Scientific and Technical Information, Moscow, (1983). (in Russian). Falin, G. "Traffic measurements in M/G/1 retrial queues", preprint (1993). Kellson J., Cozzolino J. and Young H. "A service system with unfilled request repeated", Opero Res. 16, (1968) 1126-1137. Martin, M. and Falin, G. "Inference for M/M/1/., retrial queues", preprint (1994).
dc.identifier.issn2255-5471
dc.identifier.relatedurlhttps://economicasyempresariales.ucm.es/working-papers-ccee
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64091
dc.issue.number11
dc.language.isoeng
dc.page.total26
dc.publication.placeMadrid
dc.publisherFacultad de Ciencias Económicas y Empresariales. Decanato
dc.relation.ispartofseriesDocumentos de Trabajo de la Facultad de Ciencias Económicas y Empresariales
dc.rightsAtribución-NoComercial-CompartirIgual 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subject.keywordRetrial queues
dc.subject.keywordFactorial moments
dc.subject.keywordHeavy traffic
dc.subject.keywordDirect estimator
dc.subject.keywordAccuracy.
dc.subject.ucmProbabilidades (Matemáticas)
dc.titleA new model for the M/G/1 retrial queve
dc.typetechnical report
dc.volume.number1994
dspace.entity.typePublication
relation.isAuthorOfPublication1d1111ae-eab0-4a61-a526-b30885bca90b
relation.isAuthorOfPublication0657008e-51ab-4ba0-9e96-fe0386cab3b0
relation.isAuthorOfPublication.latestForDiscovery1d1111ae-eab0-4a61-a526-b30885bca90b
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