On quasi-reversibility and local balance: An alternative derivation of the product-form results

Document Type

Article

Publication Date

1-1-1998

Abstract

We are concerned with a queueing network, described by a continuous-time Markov chain, in which each node is quasi-reversible. A new class of local balance equations is derived for the Markov chain with respect to a product-form distribution, which simultaneously provides an alternative and short proof for product form results of queueing networks with customers and signals. Furthermore, if each node is internally balanced, i.e., the total arrival rate equals the total departure rate for each node, the Markov chain is locally balanced in the ordinary sense. Our arguments reveal a close relationship between quasi-reversibility and local balance, and provide further insights into how transition rates are balanced in product form queueing networks. © 1998 INFORMS.

Identifier

0032201915 (Scopus)

Publication Title

Operations Research

External Full Text Location

https://doi.org/10.1287/opre.46.6.927

ISSN

0030364X

First Page

927

Last Page

933

Issue

6

Volume

46

This document is currently not available here.

Share

COinS