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Smoothing the Input Process in a Batch Queue

  • F. Ait Salaht
  • H. Castel Taleb
  • J. M. Fourneau
  • T. Mautor
  • N. Pekergin
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 363)

Abstract

We state some stochastic comparison results for the loss probabilities and the time to live in a tandem network with two queues. We consider such a network under batch arrivals and constant service time. We show that making the service capacity of the first queue finite will improve the performance. More precisely, we derive stochastic bounds for the accumulated number of losses without any assumptions on the input traffic.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • F. Ait Salaht
    • 1
  • H. Castel Taleb
    • 1
  • J. M. Fourneau
    • 2
  • T. Mautor
    • 2
  • N. Pekergin
    • 3
  1. 1.SAMOVAR, CNRS Télécom Sud ParisÉvry CedexFrance
  2. 2.PRiSM, UVSQ, CNRSVersaillesFrance
  3. 3.LACL, Université de Paris Est CréteilCréteilFrance

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