Some bounds for M(t)/M(t)/S queue with catastrophes

Alexander I. I.  Zeifman; Yakov Satin; Alexander Chegodaev; Vladimir Bening; Vsevolod Shorgin

3rd International ICST Workshop on Tools for solving Structured Markov Chains

Research Article

Some bounds for M(t)/M(t)/S queue with catastrophes

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.4108/ICST.VALUETOOLS2008.4270,
    author={Alexander I. I.  Zeifman and Yakov Satin and Alexander Chegodaev and Vladimir Bening and Vsevolod Shorgin},
    title={Some bounds for M(t)/M(t)/S queue with catastrophes},
    proceedings={3rd International ICST Workshop on Tools for solving Structured Markov Chains},
    publisher={ACM},
    proceedings_a={SMCTOOLS},
    year={2010},
    month={5},
    keywords={Nonstationary queues Markovian model with catas- trophes weak ergodicity bounds},
    doi={10.4108/ICST.VALUETOOLS2008.4270}
}

Alexander I. I. Zeifman
Yakov Satin
Alexander Chegodaev
Vladimir Bening
Vsevolod Shorgin
Year: 2010
Some bounds for M(t)/M(t)/S queue with catastrophes
SMCTOOLS
ICST
DOI: 10.4108/ICST.VALUETOOLS2008.4270

Alexander I. I. Zeifman¹^,*, Yakov Satin², Alexander Chegodaev², Vladimir Bening³, Vsevolod Shorgin⁴

1: Vologda State, Pedagogical University, Institute of Informatics, Problems RAS, and VSCC, CEMI RAS
2: Vologda State, Pedagogical University
3: Moscow State University and, Institute of Informatics, Problems RAS
4: Institute of Informatics, Problems RAS

*Contact email: zeifman@yandex.ru

Abstract

We consider the M(t)/M(t)/S queue with catastrophes. The bounds of the rate of convergence to the limit regime and the estimates of the limit probabilities are obtained. We also study the bounds for the mean of the queue and consider an example.

Keywords: Nonstationary queues Markovian model with catas- trophes weak ergodicity bounds

Published: 2010-05-16
Publisher: ACM
Modified: 2010-05-16

: http://dx.doi.org/10.4108/ICST.VALUETOOLS2008.4270