Title
G-networks with resets
Abbreviated Journal Title
Perform. Eval.
Keywords
queuing networks; product forms; Gelenbe networks; negative customers; triggers; resets; existence; uniqueness; POSITIVE CUSTOMERS; QUEUING-NETWORKS; MULTIPLE CLASSES; QUEUES; Computer Science, Hardware & Architecture; Computer Science, Theory &; Methods
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. (C) 2002 Elsevier Science B.V. All rights reserved.
Journal Title
Performance Evaluation
Volume
49
Issue/Number
1-4
Publication Date
1-1-2002
Document Type
Article; Proceedings Paper
Language
English
First Page
179
Last Page
191
WOS Identifier
ISSN
0166-5316
Recommended Citation
"G-networks with resets" (2002). Faculty Bibliography 2000s. 3215.
https://stars.library.ucf.edu/facultybib2000/3215