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1 results

  • Two sufficient properties for the insensitivity of a class of queueing models

  • Moshe Haviv
  • Journal:
    Journal of Applied Probability / Volume 28 / Issue 3 / September 1991
    Published online by Cambridge University Press:
    14 July 2016, pp. 664-672
    Print publication:
    September 1991

  • For indivisible strong work-conserving queueing models with a Poisson arrival process, each of the following two properties is a sufficient condition for insensitivity. (1) The completed workload of a job receiving service is independent of the number of jobs in the system. (2) Independently of the completed workloads of the jobs in the system, they all are equally likely to be in service. For models which additionally belong to the class described by two families of parameters each of these properties is also necessary for insensitivity.