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1 results

  • Blocking probabilities in large circuit-switched networks

  • F. P. Kelly
  • Journal:
    Advances in Applied Probability / Volume 18 / Issue 2 / June 1986
    Published online by Cambridge University Press:
    01 July 2016, pp. 473-505
    Print publication:
    June 1986

  • This paper is concerned with blocking and loss probabilities in circuit-switched networks. We show that when the capacity of links and the offered traffic are increased together, a limiting regime emerges in which loss probabilities are as if links block independently, with blocking probabilities given by the solution of a simple convex programming problem. We then show that an approximate procedure, based on solving Erlang&s formula under the assumption of independent blocking, produces a unique solution when routes are fixed, and that under the limiting regime the estimates of loss probabilities obtained from the procedure converge to the correct values.