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1 results

  • Exact analysis for a class of simple, circuit-switched networks with blocking

  • Yaakov Kogan
  • Journal:
    Advances in Applied Probability / Volume 21 / Issue 4 / December 1989
    Published online by Cambridge University Press:
    01 July 2016, pp. 952-955
    Print publication:
    December 1989
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  • We consider the same circuit switching problem as in Mitra [1]. The calculation of the blocking probabilities is reduced to finding the partition function for a closed exponential pseudo-network with L−1 customers. This pseudo-network differs from that in [1] in one respect only: service rates at nodes 1, 2, …, p depend on the queue length. The asymptotic expansion developed in [1] follows from our exact expression for the partition function.