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dc.contributor.authorLebedev, Eugene
dc.date.accessioned2020-03-05T10:53:32Z
dc.date.available2020-03-05T10:53:32Z
dc.date.created2020
dc.date.issued2020-03-05
dc.identifier.urihttps://hdl.handle.net/10630/19364
dc.description.abstractThe presentation deals with a research of bivariate Markov process {X(t), t>0} whose state space is a lattice semistrip S(X)={0,1,..., c+m}. The process X(t) describes the service policy of a multi-server retrial queue with c servers and m waiting positions in which the rate of repeated flow does not depend on the number of sources of retrial calls. First, for these models the ergodicity conditions were studied. Then, a vector-matrix representation of steady-state distribution was obtained in the class of queues. This representation allows to write down the stationary probabilities through the model parameters in closed form and to propose the closed formulas of its main performance measures. The investigative techniques use models and results for the QBD processes together with approximation of the initial model by means of the truncated one. As well as we discuss an application of the developed approach to study retrial queues with the controlled parameters and to solve optimization problems for the model.en_US
dc.description.sponsorshipUniversidad de Málaga. Campus de Excelencia Internacional Andalucía Techen_US
dc.language.isoengen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCibernéticaen_US
dc.subject.otherQBD processesen_US
dc.subject.otherRetrial queueing systemen_US
dc.subject.otherConstant retrial rateen_US
dc.titleSteady-state analysis of M/M/c/c+m – type retrial queueing systems with constant retrial rateen_US
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.centroEscuela de Ingenierías Industrialesen_US
dc.relation.eventtitleConferencia dentro del Departamento de Matemática aplicadaen_US
dc.relation.eventplaceMálagaen_US
dc.relation.eventdate30/04/2020en_US


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