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Remarks on Solutions of a Functional Equation Arising from an Asymmetric Switch

In: Contributions in Mathematics and Engineering

Author

Listed:
  • El-Sayed El-Hady

    (Innsbruck University
    Faculty of Computers and Informatics, Suez Canal University, Basic Science Department)

  • Janusz Brzdęk

    (Pedagogical University, Department of Mathematics)

  • Wolfgang Förg-Rob

    (Informatik und Physik, Institut für Mathematik, Fakultät für Mathematik)

  • Hamed Nassar

    (Suez Canal University, Computer Science Department, Faculty of Computers and Informatics)

Abstract

During the last five decades, various functional equations possessing a certain structure popped up in many modern disciplines like queuing theory, communication and networks. There is no universal solution methodology available for them, and the closed-form solutions are known only in some particular cases. We address several issues concerning solutions of one of such functional equations, arising in a model of the clocked buffered switch that has been represented as a queueing system.

Suggested Citation

  • El-Sayed El-Hady & Janusz Brzdęk & Wolfgang Förg-Rob & Hamed Nassar, 2016. "Remarks on Solutions of a Functional Equation Arising from an Asymmetric Switch," Springer Books, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Contributions in Mathematics and Engineering, pages 153-163, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-31317-7_9
    DOI: 10.1007/978-3-319-31317-7_9
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