An introduction to the analysis of algorithms
An introduction to the analysis of algorithms
Mobility modeling in wireless networks: categorization, smooth movement, and border effects
ACM SIGMOBILE Mobile Computing and Communications Review
The Spatial Node Distribution of the Random Waypoint Mobility Model
Mobile Ad-Hoc Netzwerke, 1. deutscher Workshop über Mobile Ad-Hoc Netzwerke WMAN 2002
The Node Distribution of the Random Waypoint Mobility Model for Wireless Ad Hoc Networks
IEEE Transactions on Mobile Computing
Spatial Node Distribution of the Random Waypoint Mobility Model with Applications
IEEE Transactions on Mobile Computing
The random trip model: stability, stationary regime, and perfect simulation
IEEE/ACM Transactions on Networking (TON)
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Modelling mobility: a discrete revolution
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
Spatial node distribution of manhattan path based random waypoint mobility models with applications
SIROCCO'09 Proceedings of the 16th international conference on Structural Information and Communication Complexity
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In this paper, we study the stationary node distribution of a variation of the Random Waypoint mobility model, in which nodes move in a smooth way following one randomly chosen Manhattan path connecting two points. We provide analytical results for the spatial node stationary distribution of this model. As an application, we exploit this result to derive an upper bound on the transmission range of the nodes of a MANET, moving according to this model, that guarantees the connectivity of the communication graph with high probability.