Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Mobility increases the capacity of ad hoc wireless networks
IEEE/ACM Transactions on Networking (TON)
The Critical Transmitting Range for Connectivity in Sparse Wireless Ad Hoc Networks
IEEE Transactions on Mobile Computing
Impact of interferences on connectivity in ad hoc networks
IEEE/ACM Transactions on Networking (TON)
Introduction to Probability Models, Ninth Edition
Introduction to Probability Models, Ninth Edition
Stochastic geometry and random graphs for the analysis and design of wireless networks
IEEE Journal on Selected Areas in Communications - Special issue on stochastic geometry and random graphs for the analysis and designof wireless networks
Connectivity Analysis of Vehicular Ad Hoc Networks from a Physical Layer Perspective
Wireless Personal Communications: An International Journal
Analysis of Link Life Time in Vehicular Ad Hoc Networks for Free-Flow Traffic State
Wireless Personal Communications: An International Journal
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The connectivity properties of a mobile linear network with high speed mobile nodes and strict delay constraint are investigated. A new mobility model is developed to represent the steady state node distribution, and it accurately captures the statistical properties of random node arrival, time-varying node speed, and the distinct behaviors of nodes following different traffic patterns. With the mobility model, the statistical properties of network connectivity are studied and identified. Unlike most previous works that do not consider the impacts of transmission latency, which is critical for real time applications, this paper identifies the quantitative relationship between network connectivity and delay constraint. The results are applicable to both delay constrained networks and delay tolerant networks. The connectivity analysis is performed with a novel geometry-assisted analytical method. Exact connectivity probability expressions are developed by using the volumes of a hypercube intersected by a hyperplane, and a hyperpyramid. The geometry-assisted analytical method significantly simplifies the connectivity analysis.