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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 2, Pages 345–357 (Mi tvp3128)  
This article is cited in 3 scientific papers (total in 3 papers)

Piecewise linear Markov chains and analysis of their stability

G. Sh. Tsitsiashvili

Vladivostok
Full-text PDF (822 kB) Citations (3)
Abstract: Piecewise linear functions and piecewise linear operators are defined, some of their properties are studied. A class of piecewise linear Markov chains is introduced by means of the notion of piecewise linear operator. A stability problem for these chains is solved by virtue of the Lyapunov function method. Some examples of piecewise linear Markov chains describing queueing systems are considered.
Received: 28.02.1973
English version:
Theory of Probability and its Applications, 1976, Volume 20, Issue 2, Pages 337–350
DOI: https://doi.org/10.1137/1120037
Bibliographic databases:
Language: Russian
Citation: G. Sh. Tsitsiashvili, “Piecewise linear Markov chains and analysis of their stability”, Teor. Veroyatnost. i Primenen., 20:2 (1975), 345–357; Theory Probab. Appl., 20:2 (1976), 337–350
Citation in format AMSBIB
\Bibitem{Tsi75}
\by G.~Sh.~Tsitsiashvili
\paper Piecewise linear Markov chains and analysis of their stability
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 2
\pages 345--357
\mathnet{http://mi.mathnet.ru/tvp3128}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397883}
\zmath{https://zbmath.org/?q=an:0339.60062}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 20
\issue 2
\pages 337--350
\crossref{https://doi.org/10.1137/1120037}
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  • https://www.mathnet.ru/eng/tvp/v20/i2/p345
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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