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On the identification of Poisson arrivals in queues with coinciding time-stationary and customer-stationary state distributions

  • Dieter König (a1), Masakiyo Miyazawa (a2) and Volker Schmidt (a1)

Abstract

For several queueing systems, sufficient conditions are given ensuring that from the coincidence of some time-stationary and customer-stationary characteristics of the number of customers in the system such as idle or loss probabilities it follows that the arrival process is Poisson.

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Corresponding author

Postal address: Sektion Mathematik, Bergakademie Freiberg, 92 Freiberg (Sachs), DDR.
∗∗ Postal address: Department of Information Sciences, Faculty of Science and Technology, Science University of Tokyo, Noda City, Chiba 278, Japan.

References

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Keywords

On the identification of Poisson arrivals in queues with coinciding time-stationary and customer-stationary state distributions

  • Dieter König (a1), Masakiyo Miyazawa (a2) and Volker Schmidt (a1)

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