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

El-Sayed El-Hady (), Janusz Brzdęk (), Wolfgang Förg-Rob () and Hamed Nassar ()
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El-Sayed El-Hady: Innsbruck University
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

A chapter in Contributions in Mathematics and Engineering, 2016, pp 153-163 from Springer

Abstract: 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.

Keywords: Functional Equation; Unit Disc; Conformal Mapping; Simple Pole; Probability Generate Function (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_9

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DOI: 10.1007/978-3-319-31317-7_9

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