On the asymptotic behaviour of the distributions of the busy period and service time in M/G/1

Authors:
  • AMA. De Meyer
    A. De Meyer
  • JTJ. L. Teugels
    J. L. Teugels

Abstract
For the distribution function of the busy period in the M/G/l queueing system with traffic intensity less than one it is shown that the tail varies regularly at infinity iff the tail of the service time varies regularly at infinity.

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