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

Date
1998
Authors
Anisimov, V. V.
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Source Title
Theory of Probability and Mathematical Statistics
Print ISSN
0094-9000
Electronic ISSN
1547-7363
Publisher
American Mathematical Society
Volume
56
Issue
Pages
48 - 60
Language
English
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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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