Averaging methods for transient regimes in overloading retrial queueing systems

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dc.citation.epage78en_US
dc.citation.issueNumber3-4en_US
dc.citation.spage65en_US
dc.citation.volumeNumber30en_US
dc.contributor.authorAnisimov, V. V.en_US
dc.date.accessioned2016-02-08T10:41:13Z
dc.date.available2016-02-08T10:41:13Z
dc.date.issued1999en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractA new approach is suggested to study transient and stable regimes in overloading retrial queueing systems. This approach is based on limit theorems of averaging principle and diffusion approximation types for so-called switching processes. Two models of retrial queueing systems of the types M̄/Ḡ/1̄/w.r (multidimensional Poisson input flow, one server with general service times, retrial system) and M/M/m/w.r (m servers with exponential service) are considered in the case when the intensity of calls that reapply for the service tends to zero. For the number of re-applying calls, functional limit theorems of averaging principle and diffusion approximation types are proved.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:41:13Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 1999en
dc.identifier.doi10.1016/S0895-7177(99)00132-6en_US
dc.identifier.issn0895-7177
dc.identifier.urihttp://hdl.handle.net/11693/25228
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/S0895-7177(99)00132-6en_US
dc.source.titleMathematical and Computer Modellingen_US
dc.subjectAveraging principleen_US
dc.subjectDiffusion approximationen_US
dc.subjectMarkov processesen_US
dc.subjectRetrial queueing systemsen_US
dc.subjectSwitching processesen_US
dc.titleAveraging methods for transient regimes in overloading retrial queueing systemsen_US
dc.typeArticleen_US

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