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1 results

  • Clustering of events in a stochastic process

  • Joseph Glaz
  • Journal:
    Journal of Applied Probability / Volume 18 / Issue 1 / March 1981
    Published online by Cambridge University Press:
    14 July 2016, pp. 268-275
    Print publication:
    March 1981

  • In this paper we derive bounds for the expected waiting time of clustering of at least n events of a stochastic process within a fixed interval of length p. Using this approach of clustering, we derive bounds for the expected duration of the period of time that at least n servers are busy in an ∞-server queue with constant service time. For the case of Poisson arrivals we derive the exact distribution of the duration of that period.