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Geometric Ergodicity of the ALOHA-system and a Coupled Processors Model
Published online by Cambridge University Press: 27 July 2009
Abstract
μ-Geometric ergodicity of two-dimensional versions of the ALOHA and coupled processors models is verified by checking μ-geometric recurrence. Ergodicity and convergence of the Laplace-Stieltjes transforms in a neighborhood of 0 are necessary and sufficient conditions for the first model. The second model is exponential, for which ergodicity suffices to establish the required results.
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- Probability in the Engineering and Informational Sciences , Volume 5 , Issue 1 , January 1991 , pp. 15 - 42
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- Copyright © Cambridge University Press 1991
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