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Ergodicity conditions for a continuous one-dimensional loss network

Ergodicity conditions for a continuous one-dimensional loss network One dimensional continuous loss networks are spatial birth-and-death processes which can be dominated by a multitype branching process. Using the Peron-Frobenius theory for sub-criticality of branching process we obtain a sufficient condition for ergodicity of one-dimensional loss networks on ℝ with arbitrary length distribution π and cable capacity C. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Ergodicity conditions for a continuous one-dimensional loss network

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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Sociedade Brasileira de Matemática
Subject
Mathematics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-003-0018-z
Publisher site
See Article on Publisher Site

Abstract

One dimensional continuous loss networks are spatial birth-and-death processes which can be dominated by a multitype branching process. Using the Peron-Frobenius theory for sub-criticality of branching process we obtain a sufficient condition for ergodicity of one-dimensional loss networks on ℝ with arbitrary length distribution π and cable capacity C.

Journal

Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals

Published: Jan 1, 2003

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