Improved bounds for perfect simulation of a continuous one-dimensional loss network

Nancy L. Garcia; Nevena Maric

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Improved bounds for perfect simulation of a continuous one-dimensional loss network

Nancy L. Garcia·Nevena Maric

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Abstract

Perfect simulation of an one-dimensional loss network on $\R$ with length distribution $π$ and cable capacity $C$ is performed using the clan of ancestors method. Domination of the clan of ancestors by a branching process with longer memory improves the sufficient conditions for the perfect scheme to be applicable.

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Nancy L. Garcia, Nevena Maric. 2005-04-12. Improved bounds for perfect simulation of a continuous one-dimensional loss network. https://arxiv.org/abs/math/0504254

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