Proceedings of the 9th annual international conference on Mobile computing and networking
The Node Distribution of the Random Waypoint Mobility Model for Wireless Ad Hoc Networks
IEEE Transactions on Mobile Computing
Stationary distributions of random walk mobility models for wireless ad hoc networks
Proceedings of the 6th ACM international symposium on Mobile ad hoc networking and computing
Stationary Distributions for the Random Waypoint Mobility Model
IEEE Transactions on Mobile Computing
Analysis of route stability under the random direction mobility model
ACM SIGMETRICS Performance Evaluation Review
A Novel Mobility Model from a Heterogeneous Military MANET Trace
ADHOC-NOW '08 Proceedings of the 7th international conference on Ad-hoc, Mobile and Wireless Networks
Aging rules: what does the past tell about the future in mobile ad-hoc networks?
Proceedings of the tenth ACM international symposium on Mobile ad hoc networking and computing
Mobility profiler: A framework for discovering mobility profiles of cell phone users
Pervasive and Mobile Computing
A realistic framework for delay-tolerant network routing in open terrains with continuous churn
ICDCN'11 Proceedings of the 12th international conference on Distributed computing and networking
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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.