Qualitative dynamical analysis of queueing networks with inhibition

Authors:
V. Guffens;E. Gelenbe;G. Bastin
Affiliations:
Imperial College, London, London, UK;Imperial College, London, London, UK;Université de Louvain, LLN, Belgium
Venue:
Interperf '06 Proceedings from the 2006 workshop on Interdisciplinary systems approach in performance evaluation and design of computer & communications sytems
Year:
2006

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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.