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Networks and Heterogeneous Media

2006, Volume 1, Issue 2: 315-336. doi: 10.3934/nhm.2006.1.315
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Optimal traffic distribution and priority coefficients for telecommunication networks

  • 1.
    Dipartimento di Matematica "G. Castelnuovo", Università di Roma "La Sapienza", Viale del Policlinico 137, 00161 Rome
  • Received: 01 November 2005 Revised: 01 February 2006

  • 90B18, 35L65.

  • The aim of this paper is to optimize tra±c distribution coefficients in order to maximize the trasmission speed of packets over a network. We consider a macroscopic fluidodynamic model dealing with packets flow proposed in [10], where the dynamics at nodes (routers) is decided by a routing algorithm depending on traffic distribution (and priority) coefficients. We solve the general problem for a node with m incoming and n outgoing lines and explicit the optimal parameters for the simple case of two incoming and two outgoing lines.

    Citation: Alessia Marigo. Optimal traffic distribution and priority coefficients for telecommunication networks[J]. Networks and Heterogeneous Media, 2006, 1(2): 315-336. doi: 10.3934/nhm.2006.1.315

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  • The aim of this paper is to optimize tra±c distribution coefficients in order to maximize the trasmission speed of packets over a network. We consider a macroscopic fluidodynamic model dealing with packets flow proposed in [10], where the dynamics at nodes (routers) is decided by a routing algorithm depending on traffic distribution (and priority) coefficients. We solve the general problem for a node with m incoming and n outgoing lines and explicit the optimal parameters for the simple case of two incoming and two outgoing lines.


  • This article has been cited by:

    1. Alessia Marigo, Benedetto Piccoli, A Fluid Dynamic Model for T-Junctions, 2008, 39, 0036-1410, 2016, 10.1137/060673060
    2. Stefan Diehl, 2012, Chapter 7, 978-3-642-20235-3, 175, 10.1007/978-3-642-20236-0_7
    3. Zlatinka Dimitrova, Flows of Substances in Networks and Network Channels: Selected Results and Applications, 2022, 24, 1099-4300, 1485, 10.3390/e24101485
    4. A. Cascone, R. Manzo, B. Piccoli, L. Rarità, Optimization versus randomness for car traffic regulation, 2008, 78, 1539-3755, 10.1103/PhysRevE.78.026113
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  • © 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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