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2 results

  • The waiting-time process of a queueing system with gamma-type input and blocking

  • C. Langaris
  • Journal:
    Journal of Applied Probability / Volume 23 / Issue 1 / March 1986
    Published online by Cambridge University Press:
    14 July 2016, pp. 166-174
    Print publication:
    March 1986

  • In this work the first-come-first-served waiting-time process of a customer in a two-stage queueing network without intermediate waiting space is analysed. We assume that the arrivals follow the gamma distribution, the service times in the first stage are arbitrarily distributed, and the service times in the second stage are again of gamma type.

    Connecting the waiting time of the (n + 1)th customer with that of the nth and locating the zeros of a certain function we derive expressions for the Laplace transform of the waiting-time distribution both in the transient and the steady state.