Geometric equilibrium distributions for queues with interactive batch departures

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1994 English Publisher:Springer Science and Business Media LLCJournal:Annals of Operations Research, volume 48, pages 493-511 (issn: 0254-5330, eissn: 1572-9338,

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Authors: William Henderson; Bruce S. Northcote; Peter G. Taylor;

doi: 10.1007/bf02033316

Geometric equilibrium distributions for queues with interactive batch departures

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Abstract

The authors start with a result of \textit{E. Gelenbe} [J. Appl. Probab. 28, No. 3, 656-663 (1991; Zbl 0741.60091)] who generalized Jackson networks for `positive' and `negative' customers and gave conditions under which again geometric product form equilibrium distributions exist. In this paper these results are again generalized to batches of `negative' customers. Appropriate conditions are given and their relations to traffic equations for the throughput of the individual queues are proved.

Related Organizations

University of Adelaide
Australia

Keywords

Queueing theory (aspects of probability theory), Stochastic network models in operations research, queueing networks, geometric product form equilibrium distributions, Applications of Markov renewal processes (reliability, queueing networks, etc.), batches of negative customers, Queues and service in operations research, traffic equations, generalized Jackson networks

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