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1 results

  • On the busy period of the modified GI/G/1 queue

  • A. G. Pakes
  • Journal:
    Journal of Applied Probability / Volume 10 / Issue 1 / March 1973
    Published online by Cambridge University Press:
    14 July 2016, pp. 192-197
    Print publication:
    March 1973

  • Proceeding from duality results for the GI/G/1 queue, this paper obtains the probability of the number served in a busy period of a GI/G/1 system where customers initiating a busy period have a different service time distribution from other customers. Using duality arguments for processes with interchangeable increments, the Laplace transform of the busy period duration is found for a modified GI/M/1 queue.