Stability bounds for $M_t/M_t/N/N+R$ queue

Alexander Zeifman; Anna Korotysheva; Sergey Shorgin; Vladimir Bening

5th International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Stability bounds for $M_t/M_t/N/N+R$ queue

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@INPROCEEDINGS{10.4108/icst.valuetools.2011.245864,
    author={Alexander Zeifman and Anna Korotysheva and Sergey Shorgin and Vladimir Bening},
    title={Stability bounds for \textdollar{}M_t/M_t/N/N+R\textdollar{} queue},
    proceedings={5th International ICST Conference on Performance Evaluation Methodologies and Tools},
    publisher={ICST},
    proceedings_a={VALUETOOLS},
    year={2012},
    month={6},
    keywords={Nonstationary Markovian queueing model stability weak ergodicity bounds},
    doi={10.4108/icst.valuetools.2011.245864}
}

Alexander Zeifman
Anna Korotysheva
Sergey Shorgin
Vladimir Bening
Year: 2012
Stability bounds for $M_t/M_t/N/N+R$ queue
VALUETOOLS
ICST
DOI: 10.4108/icst.valuetools.2011.245864

Alexander Zeifman¹^,*, Anna Korotysheva¹, Sergey Shorgin², Vladimir Bening³

1: Vologda State Pedagogical University
2: Institute of Informatics Problems RAS
3: Moscow State University

*Contact email: zeifman@yandex.ru

Abstract

We study $Mt/Mt/N/N+R$ queue and obtain stability bounds for main characteristics of the respective queue-length process (distribution of state probabilities and the mean of the queue). We also consider some specific examples.

Keywords: Nonstationary Markovian queueing model stability weak ergodicity bounds

Published: 2012-06-26
Publisher: ICST

: http://dx.doi.org/10.4108/icst.valuetools.2011.245864