Optimal traffic distribution and priority coefficients for telecommunication networks

Alessia Marigo; Alessia Marigo

doi:10.3934/nhm.2006.1.315

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

Alessia Marigo ^{1
,}

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.
- Traffic flow on networks,
- conservation laws,
- optimization
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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Abstract

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.
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