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2 results

  • Sojourn Time Estimation in an M/G/∞ Queue with Partial Information

  • Part of
  • Nafna Blanghaps, Yuval Nov, Gideon Weiss
  • Journal:
    Journal of Applied Probability / Volume 50 / Issue 4 / December 2013
    Published online by Cambridge University Press:
    30 January 2018, pp. 1044-1056
    Print publication:
    December 2013
    • Article
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  • We propose an estimator for the cumulative distribution function G of the sojourn time in a steady-state M/G/∞ queueing system, when the available data consists of the arrival and departure epochs alone, without knowing which arrival corresponds to which departure. The estimator generalizes an estimator proposed in Brown (1970), and is based on a functional relationship between G and the distribution function of the time between a departure and the rth latest arrival preceding it. The estimator is shown to outperform Brown's estimator, especially when the system is heavily loaded.