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Existence and perfect simulation of one-dimensional loss networks

Author

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  • Garcia, Nancy L.
  • Maric, Nevena

Abstract

Perfect simulation of an one-dimensional loss network on with length distribution [pi] and cable capacity C can be performed using the clan of ancestors method. Domination of the clan of ancestors by a branching process with dependency in two generations improves the known sufficient conditions for the perfect scheme to be applicable.

Suggested Citation

  • Garcia, Nancy L. & Maric, Nevena, 2006. "Existence and perfect simulation of one-dimensional loss networks," Stochastic Processes and their Applications, Elsevier, vol. 116(12), pages 1920-1931, December.
    • Handle: RePEc:eee:spapps:v:116:y:2006:i:12:p:1920-1931
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    References listed on IDEAS

    as
    1. Ferrari, Pablo A. & Fernández, Roberto & Garcia, Nancy L., 2002. "Perfect simulation for interacting point processes, loss networks and Ising models," Stochastic Processes and their Applications, Elsevier, vol. 102(1), pages 63-88, November.
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