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Article
Ergodicity Conditions for a Continuous One-dimensional Loss Network
Bull Brazilian Mathematical Society New Series
(2003)
Abstract
One dimensional continuous loss networks are spatial birth-and-death processes which can be dominated by a multitype branching process. Using the PeronFrobenius 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.
Disciplines
Publication Date
2003
Citation Information
Nevena Maric and Nancy L. Garcia. "Ergodicity Conditions for a Continuous One-dimensional Loss Network" Bull Brazilian Mathematical Society New Series Vol. 34 Iss. 3 (2003) p. 349 - 360 Available at: http://works.bepress.com/nevena-maric/6/