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      • Department of Industrial Engineering
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      Asymptotic analysis of nonhomogenous hierarchical Markov processes and applications in models of the consolidation of queueing systems

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      Author(s)
      Anisimov, V. V.
      Date
      1998
      Source Title
      Theory of Probability and Mathematical Statistics
      Print ISSN
      0094-9000
      Electronic ISSN
      1547-7363
      Publisher
      American Mathematical Society
      Volume
      56
      Pages
      48 - 60
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      Limit 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.
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      http://hdl.handle.net/11693/49312
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