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2010, Volume 13, Issue 1: 59-78. Doi: 10.3934/dcdsb.2010.13.59
This issue Previous Article A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples Next Article A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates

Decentralized optimal routing for packets flow on data networks

  • 1.

    Department of Information Engineering and Applied Mathematics, University of Salerno, Fisciano (SA)

  • 2.

    Dipartimento di Matematica "G. Castelnuovo", Università di Roma "La Sapienza", Viale del Policlinico 137, 00161 Rome

  • 3.

    Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche, Roma

Received:  July 31, 2008
Revised:  March 31, 2009
Published:  June 2010
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    Abstract
  • This paper concerns optimization of data traffic flows on a telecommunication network, modelled using a fluid - dynamic approach. Flows can be controlled adjusting traffic distribution and priority parameters. Two cost functionals are considered, which measure average velocity and average travelling time of packets.
       First we address general optimal control problems, showing that existence of solutions is related to properties of packet loss probability functions.
       A direct solution of the general optimal control problem corresponds to a centralized policy and is hard to achieve, thus we focus on a decentralized policy and provide solutions for a single node with two entering and two exiting lines and asymptotic costs. Such solutions permit to simulate the behaviour of decentralized algorithms for complex networks. Local optimization ensures very good results also for large networks. The latter is shown by case study of a test telecommunication network.
    Mathematics Subject Classification: Primary: 35L65, 35R02; Secondary: 94C99.

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