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dc.contributor.authorAnisimov, V. V.en_US
dc.contributor.authorKurtulush, M.en_US
dc.date.accessioned2019-02-08T06:19:44Z
dc.date.available2019-02-08T06:19:44Z
dc.date.issued2001en_US
dc.identifier.issn1060-0396
dc.identifier.urihttp://hdl.handle.net/11693/49089
dc.description.abstractThe asymptotic behavior of the time of the first loss of a demand in Markovian single-channel and multichannel queuing retrial systems with a finite buffer and an external Markovian environment is analyzed. Two cases are studied: (a) the ratio of the input rate to the service rate tends to zero and (b) the ratio of the input rate to the service rate and the ratio of the input rate to the retrial rate tend to zero simultaneously. The method of so-called S-sets and the concept of a monotone structure introduced by Anisimov are used to prove the exponential approximation of the time of the first call loss and Poisson approximation of a flow of lost demands for both cases.en_US
dc.language.isoEnglishen_US
dc.source.titleCybernetics and Systems Analysisen_US
dc.relation.isversionofhttps://doi.org/10.1023/A:1014534015782en_US
dc.subjectMarkovian queuing systemsen_US
dc.subjectRetrialsen_US
dc.subjectLight - traffic conditionsen_US
dc.subjectS-setsen_US
dc.subjectMarkovian environmenten_US
dc.titleSome Markovian Queuing Retrial Systems under light-traffic conditionsen_US
dc.typeArticleen_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.citation.spage876en_US
dc.citation.epage887en_US
dc.citation.volumeNumber37en_US
dc.citation.issueNumber6en_US
dc.identifier.doi10.1023/A:1014534015782en_US
dc.publisherKluwer Academic Publishers-Plenum Publishersen_US
dc.identifier.eissn1573-8337


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