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Distributional Properties of Fluid Queues Busy Period and First Passage Times

Author

Listed:
  • Zbigniew Palmowski

    (Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, ul. Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland)

Abstract

In this paper, I analyze the distributional properties of the busy period in an on-off fluid queue and the first passage time in a fluid queue driven by a finite state Markov process. In particular, I show that the first passage time has a IFR distribution and the busy period in the Anick-Mitra-Sondhi model has a DFR distribution.

Suggested Citation

  • Zbigniew Palmowski, 2020. "Distributional Properties of Fluid Queues Busy Period and First Passage Times," Mathematics, MDPI, vol. 8(11), pages 1-4, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1988-:d:441460
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