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June  2006, 1(2): 315-336. doi: 10.3934/nhm.2006.1.315

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, Italy

Received  November 2005 Revised  February 2006 Published  March 2006

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.
Keywords: conservation laws, Traffic flow on networks, optimization..
Mathematics Subject Classification: 90B18, 35L6.
Citation: Alessia Marigo. Optimal traffic distribution and priority coefficients for telecommunication networks. Networks & Heterogeneous Media, 2006, 1 (2) : 315-336. doi: 10.3934/nhm.2006.1.315
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