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A Diffusion Approximation Model of an Electronic-Optical Node

  • Conference paper
Formal Techniques for Computer Systems and Business Processes (EPEW 2005, WS-FM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3670))

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Abstract

The article presents a diffusion approximation model applied to investigate the process of filling a large optical packet by smaller and coming irregularly electronical packets. The use of diffusion approximation enables us to include the general distributions of interarrival times, also the self-similarity of the input process, as well as to investigate transient states. We propose a novel diffusion process with jumps representing the end of the filling the buffer due to arrival of too large packet and we give the transient solution to this process. The model allows us to study the distribution of interdeparture times and the distribution of the space occupied in the optical packet.

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References

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Author information

Authors and Affiliations

  1. IITiS, Polish Academy of Sciences, ul. Bałtycka 5, 44-100, Gliwice, Poland

    Tadeusz Czachórski

  2. LIPN, CNRS UMR 7030, Université Paris-Nord, 99, avenue Jean-Baptiste Clément, 93430, Villetaneuse, France

    Ferhan Pekergin

Authors
  1. Tadeusz Czachórski
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  2. Ferhan Pekergin
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Editor information

Editors and Affiliations

  1. University of Bologna,  

    Mario Bravetti

  2. PRiSM, Université de Versailles, 45, Av. des Etats-Unis, 78000, Versailles

    Leïla Kloul

  3. Dip. Scienze dell’Informazione, Università di Bologna, Italy

    Gianluigi Zavattaro

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© 2005 Springer-Verlag Berlin Heidelberg

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Czachórski, T., Pekergin, F. (2005). A Diffusion Approximation Model of an Electronic-Optical Node. In: Bravetti, M., Kloul, L., Zavattaro, G. (eds) Formal Techniques for Computer Systems and Business Processes. EPEW WS-FM 2005 2005. Lecture Notes in Computer Science, vol 3670. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11549970_14

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  • DOI: https://doi.org/10.1007/11549970_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28701-8

  • Online ISBN: 978-3-540-31903-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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