Spatial node distribution of the random waypoint mobility model with applications

@article{Hyyti2006SpatialND,
  title={Spatial node distribution of the random waypoint mobility model with applications},
  author={Esa Hyyti{\"a} and Pasi E. Lassila and Jorma T. Virtamo},
  journal={IEEE Transactions on Mobile Computing},
  year={2006},
  volume={5},
  pages={680-694}
}
The random waypoint model (RWP) is one of the most widely used mobility models in performance analysis of ad hoc networks. We analyze the stationary spatial distribution of a node moving according to the RWP model in a given convex area. For this, we give an explicit expression, which is in the form of a one-dimensional integral giving the density up to a normalization constant. This result is also generalized to the case where the waypoints have a nonuniform distribution. As a special case, we… 

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