Asymptotic analysis of nonhomogenous hierarchical Markov processes and applications in models of the consolidation of queueing systems

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dc.citation.epage60en_US
dc.citation.spage48en_US
dc.citation.volumeNumber56en_US
dc.contributor.authorAnisimov, V. V.en_US
dc.date.accessioned2019-02-12T10:54:08Z
dc.date.available2019-02-12T10:54:08Z
dc.date.issued1998en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractLimit theorems for nonhomogenous in time hierarchical Markov processes admitting the consolidation of states are studied. Noiton of quasi-Markov processes is introduced. The theorem on asymptotic consolidation in the class of switching processes is used in the proof. As an application asymptotic properties of some models of nonhomogenous in time queueing systems with local characteristics depending on the current state and a random Markov environment are investigated.en_US
dc.identifier.eissn1547-7363
dc.identifier.issn0094-9000
dc.identifier.urihttp://hdl.handle.net/11693/49312
dc.language.isoEnglishen_US
dc.publisherAmerican Mathematical Societyen_US
dc.source.titleTheory of Probability and Mathematical Statisticsen_US
dc.titleAsymptotic analysis of nonhomogenous hierarchical Markov processes and applications in models of the consolidation of queueing systemsen_US
dc.typeArticleen_US
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