Introduction to algorithms
Smooth is better than sharp: a random mobility model for simulation of wireless networks
MSWIM '01 Proceedings of the 4th ACM international workshop on Modeling, analysis and simulation of wireless and mobile systems
A statistical analysis of the long-run node spatial distribution in mobile ad hoc networks
MSWiM '02 Proceedings of the 5th ACM international workshop on Modeling analysis and simulation of wireless and mobile systems
The Spatial Node Distribution of the Random Waypoint Mobility Model
Mobile Ad-Hoc Netzwerke, 1. deutscher Workshop über Mobile Ad-Hoc Netzwerke WMAN 2002
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
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Stationary Distributions for the Random Waypoint Mobility Model
IEEE Transactions on Mobile Computing
Mobility-aware clustering algorithms with interference constraints in wireless mesh networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Proposal and analysis of adaptive mobility management in IP-based mobile networks
IEEE Transactions on Wireless Communications
Acc: generic on-demand accelerations for neighbor discovery in mobile applications
Proceedings of the 10th ACM Conference on Embedded Network Sensor Systems
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Most important characteristics of wireless ad hoc networks, such as link distance distribution, connectivity, and network capacity are dependent on the long-run properties of the mobility profiles of communicating terminals. Therefore, the analysis of the mobility models proposed for these networks becomes crucial. The contribution of this paper is to provide an analytical framework that is generalized enough to perform the analysis of realistic random movement models over two-dimensional regions. The synthetic scenarios that can be captured include hotspots where mobiles accumulate with higher probability and spend more time, and take into consideration location and displacement dependent speed distributions. By the utilization of the framework to the random waypoint mobility model, we derive an approximation to the spatial distribution of terminals over rectangular regions. We validate the accuracy of this approximation via simulation, and by comparing the marginals with proven results for one-dimensional regions, we find out that the quality of the approximation is insensitive to the proportion between dimensions of the terrain.