Improved bounds for perfect simulation of a continuous one-dimensional loss network
classification
🧮 math.PR
keywords
perfectancestorsclanlossnetworkone-dimensionalsimulationapplicable
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Perfect simulation of an one-dimensional loss network on $\R$ with length distribution $\pi$ 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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