Title

G-Networks With Resets

Keywords

Existence; Gelenbe networks; Negative customers; Product forms; Queuing networks; Resets; Triggers; Uniqueness

Abstract

Gelenbe networks (G-networks) are product form queuing networks which, in addition to ordinary customers, contain unusual entities such as "negative customers" which eliminate normal customers and "triggers" which move other customers from some queue to another. These models have generated much interest in the literature since the early 1990s. The present paper discusses a novel model for a reliable system composed of N unreliable systems, which can hinder or enhance each other's reliability. Each of the N systems also tests other systems at random; it is able to reset another system if it is itself in working condition and discovers that the other system has failed, so that the global reliability of the system is enhanced. This paper shows how an extension of G-networks that includes novel "reset" customers can be used to model this behavior. We then show that a general G-network model with resets has product form, and prove existence and uniqueness of its solution. © 2002 Elsevier Science B.V. All rights reserved.

Publication Date

9-1-2002

Publication Title

Performance Evaluation

Volume

49

Issue

1-4

Number of Pages

179-191

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0166-5316(02)00127-X

Socpus ID

1642334040 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/1642334040

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