A performance comparison of multi-hop wireless ad hoc network routing protocols
MobiCom '98 Proceedings of the 4th annual ACM/IEEE international conference on Mobile computing and networking
Mobility modeling in wireless networks: categorization, smooth movement, and border effects
ACM SIGMOBILE Mobile Computing and Communications Review
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
Spatial Node Distribution of the Random Waypoint Mobility Model with Applications
IEEE Transactions on Mobile Computing
Performance analysis of mobility-assisted routing
Proceedings of the 7th ACM international symposium on Mobile ad hoc networking and computing
The random trip model: stability, stationary regime, and perfect simulation
IEEE/ACM Transactions on Networking (TON)
Stationary Distributions for the Random Waypoint Mobility Model
IEEE Transactions on Mobile Computing
Modeling path duration distributions in MANETs and their impact on reactive routing protocols
IEEE Journal on Selected Areas in Communications
PADS '09 Proceedings of the 2009 ACM/IEEE/SCS 23rd Workshop on Principles of Advanced and Distributed Simulation
Mobility models for mobility management
Network performance engineering
Collaborative Interest Management for Peer-to-Peer Networked Virtual Environment
PADS '11 Proceedings of the 2011 IEEE Workshop on Principles of Advanced and Distributed Simulation
Enhancement of Collaborative Interest Management Mechanism for P2P Networked Virtual Environment
PADS '12 Proceedings of the 2012 ACM/IEEE/SCS 26th Workshop on Principles of Advanced and Distributed Simulation
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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.