A Fluid Dynamic Model for Telecommunication Networks with Sources and Destinations

Abstract

Abstract. This paper proposes a macroscopic fluid dynamic model dealing with the flows of information on a telecommunication network with sources and destinations. The model consists of a conservation law for the packets density and a semilinear equation for traffic distributions functions, i.e. functions describing packets paths.We describe methods to solve Riemann Problems at junctions assigning different traffic distributions functions and two "routing algorithms". Moreover we prove existence of solutions to Cauchy problems for small perturbations of network equilibria.

Modeling and optimizing traffic light settings in road networks

“…Currently, time-dependent transportation models are used to describe, for example, data flow in telecommunication networks [21], gas or water flow in connected pipe systems [4,5,16], evacuation problems [34], and production processes (see [2,20,29,36,43]). We are interested in time-dependent models for traffic flow in road networks using continuous models.…”

Simulation and Optimal Routing of Data Flows Using a Fluid Dynamic Approach

“…In this Chapter we deal with the fluid-dynamic model for data networks together with optimization problems, reporting some results obtained in Cascone et al (2010); D' Apice et al (2006;2008;.…”

Numerical Discretization of Coupling Conditions by High-Order Schemes

“…Among the many examples where such systems arise are traffic flow [24,25,29,31], production networks [21,23,30], telecommunication networks [22], gas flow in pipe networks [3, 11-13, 15, 16] or water flow in canals [4,5,28,35]. Mathematically, flow problems on networks are boundary value problems where the boundary value is implicitly defined by a coupling condition.…”