Self-averaging property of queuing systems

  • Authors:

  • A. A. Vladimirov;A. N. Rybko;S. B. Shlosman

  • Affiliations:

  • Institute for Information Transmission Problems, RAS, Moscow, Russia;Institute for Information Transmission Problems, RAS, Moscow, Russia;Aff1 Aff2

  • Venue:
  • Problems of Information Transmission
  • Year:
  • 2006

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Abstract

We establish an averaging property for a one-server queuing process, M(t)/G/1. It is a new relation between the output flow rate and the input flow rate, crucial in the study of the Poisson hypothesis. Its implications include the statement that the output flow always possesses more regularity than the input flow.