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4th International ICST Workshop on Tools for solving Structured Markov Chains

Research Article

On Mn(t)/Mn(t)/S queues with catastrophes

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BibTeX Plain Text
  • @INPROCEEDINGS{10.4108/ICST.VALUETOOLS2009.7442,
        author={Alexander Zeifman and Yakov Satin and Sergey Shorgin and Vladimir Bening},
        title={On Mn(t)/Mn(t)/S queues with catastrophes},
        proceedings={4th International ICST Workshop on Tools for solving Structured Markov Chains},
        publisher={ACM},
        proceedings_a={SMCTOOLS},
        year={2010},
        month={5},
        keywords={General nonstationaryMarkovian queues catastrophes weak ergodicity},
        doi={10.4108/ICST.VALUETOOLS2009.7442}
    }
    
  • Alexander Zeifman
    Yakov Satin
    Sergey Shorgin
    Vladimir Bening
    Year: 2010
    On Mn(t)/Mn(t)/S queues with catastrophes
    SMCTOOLS
    ICST
    DOI: 10.4108/ICST.VALUETOOLS2009.7442
Alexander Zeifman1,2,3,*, Yakov Satin1, Sergey Shorgin2, Vladimir Bening4
  • 1: Vologda State Pedagogical University
  • 2: Institute of Informatics Problems RAS
  • 3: VSCC CEMI RAS
  • 4: Moscow State University and Institute of Informatics Problems RAS
*Contact email: zeifman@yandex.ru

Abstract

We consider the Mn(t)/Mn(t)/S queue with catastrophes. The bounds on the rate of convergence to the limit regime and the estimates of the limit probabilities are obtained.

Keywords
General nonstationaryMarkovian queues catastrophes weak ergodicity
Published
2010-05-16
Publisher
ACM
Modified
2010-05-16
http://dx.doi.org/10.4108/ICST.VALUETOOLS2009.7442
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