Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Proceedings of the second ACM international workshop on Principles of mobile computing
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
Stochastic properties of the random waypoint mobility model
Wireless Networks
Introduction to Probability Models, Ninth Edition
Introduction to Probability Models, Ninth Edition
Stationary Distributions for the Random Waypoint Mobility Model
IEEE Transactions on Mobile Computing
Random waypoint model in n-dimensional space
Operations Research Letters
Traffic load in a dense wireless multihop network
PE-WASUN '05 Proceedings of the 2nd ACM international workshop on Performance evaluation of wireless ad hoc, sensor, and ubiquitous networks
On traffic load distribution and load balancing in dense wireless multihop networks
EURASIP Journal on Wireless Communications and Networking
Quality of service adaptation in mobile ad hoc networks
International Journal of Sensor Networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Journal of Computer Systems, Networks, and Communications
Privacy-aware mobile services over road networks
Proceedings of the VLDB Endowment
A generalized framework for throughput analysis in sparse mobile networks
WiOPT'09 Proceedings of the 7th international conference on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Impact of mobility models on the cell residence time in WLAN networks
SARNOFF'09 Proceedings of the 32nd international conference on Sarnoff symposium
Low latency scanning algorithm using received signal strength for flexible network mobility
MILCOM'09 Proceedings of the 28th IEEE conference on Military communications
Distributed maintenance of minimum-cost path information in wireless sensor networks
Proceedings of the 6th ACM workshop on Performance monitoring and measurement of heterogeneous wireless and wired networks
Bandwidth table construction regarding CDMA interferences in synchronized QoS ad hoc networking
Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies
MoBAN: a configurable mobility model for wireless body area networks
Proceedings of the 4th International ICST Conference on Simulation Tools and Techniques
Performance evaluation of key exchange using integrity regions in different mobility models
Proceedings of the 1st International Conference on Wireless Technologies for Humanitarian Relief
Initiative movement prediction assisted adaptive handover trigger scheme in fast MIPv6
Computer Communications
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In this paper we study the so-called random waypoint (RWP) mobility model in the context of cellular networks. In the RWP model the nodes, i.e., mobile users, move along a zigzag path consisting of straight legs from one waypoint to the next. Each waypoint is assumed to be drawn from the uniform distribution over the given convex domain. In this paper we characterise the key performance measures, mean handover rate and mean sojourn time from the point of view of an arbitrary cell, as well as the mean handover rate in the network. To this end, we present an exact analytical formula for the mean arrival rate across an arbitrary curve. This result together with the pdf of the node location, allows us to compute all other interesting measures. The results are illustrated by several numerical examples. For instance, as a straightforward application of these results one can easily adjust the model parameters in a simulation so that the scenario matches well with, e.g., the measured sojourn times in a cell.