Queueing networks with instantaneous movements: A unified approach by quasi-reversibility

Queueing networks with instantaneous movements: A unified approach by quasi-reversibility

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Article ID: iaor20012993
Country: United States
Volume: 32
Issue: 1
Start Page Number: 284
End Page Number: 313
Publication Date: Mar 2000
Journal: Advances in Applied Probability
Authors: ,
Keywords: networks
Abstract:

In this paper we extend the notion of quasi-reversibility and apply it to the study of queueing networks with instantaneous movements and signals. The signals treated here are considerably more general than those in the existing literature. The approach not only provides a unified view for queueing networks with tractable stationary distributions, it also enables us to find several new classes of product form queueing networks, including networks with positive and negative signals that instantly add or remove customers from a sequence of nodes, networks with batch arrivals, batch services and assembly-transfer features, and models with concurrent batch additions and batch deletions along a fixed or a random route of the network.

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