Qualitative dynamical analysis of queueing networks with inhibition

V.  Guffens; E.  Gelenbe; G.  Bastin

1st International ICST Workshop on interdisciplinary systems approach in performance evaluation and design of computer & communications systems

Research Article

Qualitative dynamical analysis of queueing networks with inhibition

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.1145/1190326.1190337,
    author={V.  Guffens and E.  Gelenbe and G.  Bastin},
    title={Qualitative dynamical analysis of queueing networks with inhibition},
    proceedings={1st International ICST Workshop on interdisciplinary systems approach in performance  evaluation and design of computer \& communications systems},
    publisher={ACM},
    proceedings_a={INTER-PERF},
    year={2012},
    month={4},
    keywords={},
    doi={10.1145/1190326.1190337}
}

V. Guffens
E. Gelenbe
G. Bastin
Year: 2012
Qualitative dynamical analysis of queueing networks with inhibition
INTER-PERF
ACM
DOI: 10.1145/1190326.1190337

V. Guffens¹^,*, E. Gelenbe¹^,*, G. Bastin²^,*

1: Intelligent Systems and Networks, Imperial College, London, Exhibition Road, London SW7, 2BT, UK
2: Center for Systems Engineering and Applied Mechanics, Universite de Louvain, Av. G. Lemaitre, 4-6, 1348, LLN, Belgium

*Contact email: v.guffens@imperial.ac.uk, e.gelenbe@imperial.ac.uk, bastin@inma.ucl.ac.be

Abstract

An approximate dynamical extension of queueing theory result is described and is applied to Jackson's and G's Networks. It is shown that the dynamics of these networks may be represented by non-linear compartmental systems which are cooperative for the former case and may sometimes be competitive for the latter case. The implications in term of stability are discussed and an illustrative example is provided.

Published: 2012-04-04
Publisher: ACM

: http://dx.doi.org/10.1145/1190326.1190337

Qualitative dynamical analysis of queueing networks with inhibition

Abstract

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