Title

G-Networks: Multiple Classes Of Positive Customers, Signals, And Product Form Results

Abstract

The purpose of this tutorial presentation is to introduce GNetworks, or Gelenbe Networks, which are product form queueing networks which include normal or positive customers, as well as negative customers which destroy other customers, and triggers which displace other customers from one queue to another. We derive the balance equations for these models in the context of multiple customer classes, show the product form results, and exhibit the traffic equations which – in this case, contrary to BCMP and Jackson networks - are non-linear. This leads to interesting issues of existence and uniqueness of the steady-state solution. Gelenbe Network can be used to model large scale computer systems and networks in which signaling functions represented by negative customers and triggers are used to achieve flow and congestion control.

Publication Date

1-1-2002

Publication Title

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volume

2459

Number of Pages

1-16

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/3-540-45798-4_1

Socpus ID

79952707649 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79952707649

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