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dc.contributor.authorAnisimov, V. V.en_US
dc.contributor.authorArtalejo, J. R.en_US
dc.date.accessioned2016-02-08T10:34:37Z
dc.date.available2016-02-08T10:34:37Z
dc.date.issued2001en_US
dc.identifier.issn0257-0130
dc.identifier.urihttp://hdl.handle.net/11693/24805
dc.description.abstractNegative arrivals are used as a control mechanism in many telecommunication and computer networks. In the paper we analyze multiserver retrial queues; i.e., any customer finding all servers busy upon arrival must leave the service area and re-apply for service after some random time. The control mechanism is such that, whenever the service facility is full occupied, an exponential timer is activated. If the timer expires and the service facility remains full, then a random batch of customers, which are stored at the retrial pool, are automatically removed. This model extends the existing literature, which only deals with a single server case and individual removals. Two different approaches are considered. For the stable case, the matrix–analytic formalism is used to study the joint distribution of the service facility and the retrial pool. The approximation by more simple infinite retrial model is also proved. In the overloading case we study the transient behaviour of the trajectory of the suitably normalized retrial queue and the long-run behaviour of the number of busy servers. The method of investigation in this case is based on the averaging principle for switching processes.en_US
dc.language.isoEnglishen_US
dc.source.titleQueueing Systemsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1023/A:1012796517394en_US
dc.subjectAveraging principleen_US
dc.subjectMatrix-analytic methodsen_US
dc.subjectNegative arrivalsen_US
dc.subjectRetrial queueing systemsen_US
dc.subjectSwitching processen_US
dc.titleAnalysis of Markov multiserver retrial queues with negative arrivalsen_US
dc.typeArticleen_US
dc.departmentDepartment of Industrial Engineering
dc.citation.spage157en_US
dc.citation.epage182en_US
dc.citation.volumeNumber39en_US
dc.citation.issueNumber2-3en_US
dc.identifier.doi10.1023/A:1012796517394en_US
dc.publisherSpringeren_US
dc.identifier.eissn1572-9443


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