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

Alexander Zeifman; Yakov Satin; Sergey Shorgin; Vladimir Bening

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

Research Article

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

Cite: 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 Zeifman^1,2,3^,*, 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