In this paper we revisit two classes of mobility models which are widely used to represent users' mobility in wireless networks: Random Waypoint (RWP) and Random Direction (RD). For both models we obtain systems of partial differential equations which describe the evolution of the users' distribution. For the RD model, we show how the equations can be solved analytically both in the stationary and transient regime adopting standard mathematical techniques. Our main contributions are i) simple expressions which relate the transient duration to the model parameters; ii) the definition of a generalized random direction model whose stationary distribution of mobiles in the physical space corresponds to an assigned distribution.

Analysis of Random Mobility Models with PDE's

GARETTO, MICHELE;
2006

Abstract

In this paper we revisit two classes of mobility models which are widely used to represent users' mobility in wireless networks: Random Waypoint (RWP) and Random Direction (RD). For both models we obtain systems of partial differential equations which describe the evolution of the users' distribution. For the RD model, we show how the equations can be solved analytically both in the stationary and transient regime adopting standard mathematical techniques. Our main contributions are i) simple expressions which relate the transient duration to the model parameters; ii) the definition of a generalized random direction model whose stationary distribution of mobiles in the physical space corresponds to an assigned distribution.
MobiHoc '06
Florence, Italy
May 22-25, 2006
MobiHoc '06: Proceedings of the seventh ACM international symposium on Mobile ad hoc networking and computing
ACM
1
73
84
9781595933683
mobility models; partial differential equations
M. GARETTO; E. LEONARDI
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/18044
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