Analysis of random mobility models with PDE's

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. Categories and Subject Descriptors I.6.0 [Simulation and Modeling]: General; C.2.1 [Computer Communication Networks]: Network Architecture and Design--Wire

• Type: Conference
• Year: 2006
• Where: MOBIHOC
• Authors: Michele Garetto, Emilio Leonardi
• Keywords: Computer Communication Networks, MOBIHOC 2006, Random Direction Model, RD Model, Wireless Networks