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1 results

  • Erlang's formula and some results on the departure process for a loss system

  • D. N. Shanbhag, D. G. Tambouratzis
  • Journal:
    Journal of Applied Probability / Volume 10 / Issue 1 / March 1973
    Published online by Cambridge University Press:
    14 July 2016, pp. 233-240
    Print publication:
    March 1973

  • The present paper investigates the limiting distribution of the number of busy channels (queue size) and the remaining lengths of holding times at an epoch of departure for a loss system with general holding times and exponentially distributed interarrival times. Further, it is established that for this loss system in the limit an interdeparture interval length is independent of the queue size at the end of the interval and is distributed according to an exponential distribution with mean λ–1. It is also seen that in the limit interdeparture times are mutually independent.