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1 results

  • Dependencies in Markovian networks

  • Part of
  • H. Daduna, R. Szekli
  • Journal:
    Advances in Applied Probability / Volume 27 / Issue 1 / March 1995
    Published online by Cambridge University Press:
    01 July 2016, pp. 226-254
    Print publication:
    March 1995

  • Monotonicity and correlation results for queueing network processes, generalized birth–death processes and generalized migration processes are obtained with respect to various orderings of the state space. We prove positive (e.g. association) and negative (e.g. negative association) correlations in space and positive correlations in time for different situations, in steady state as well as in the transient phase of the system. This yields exact bounds for joint probabilities in terms of their independent versions.