Controlling the Stationary Distribution of Mobile Users in Wireless Network Simulations

Abstract

In order to be able to simulate wireless networks in a non-uniform environment resulting in specific user distributions, it is essential to predict and control the stationary user distribution of the employed mobility model. We propose a framework to calculate turning probabilities at intersections of a graph-based mobility model to realize an arbitrary stationary user distribution on a street network. In this way, the user distribution can be fitted to a measured distribution. Our framework is able to cope with different average velocities on streets as well as different pausing probabilities at intersections. We evaluate its scope with the help of an example distribution on a European city center map featuring different street types and a variety of different crossings.

Random direction or random waypoint? A comparison of mobility models for urban environments

“…As the relationship between destination distribution and user distribution in RWP-Ci is much harder to understand, we developed a method to equalise the user distributions by calculating the turning probabilities in RDCi in such a way, that the flows of users in steady state on every street segment equals the flows of users measured in the RWP-Ci steady state. Details of the methodology are given in Reference [25]. It uses linear programming, like in our previous work [26], and expresses the user distribution as equality constraints while minimising the flow of users turning around at intersections.…”