IEEE Transactions on Information Theory · 2005 · 88 citations · 3 references
ComputingComputer ScienceComputer NetworksMobile ComputingWireless CommunicationsAd Hoc Mobile NetworksCommunication NetworksMobile Ad Hoc NetworksMobile NetworkingMobile NetworksWireless NetworksAd Hoc NetworksMobility ModelsNetwork CapacityScaling LawsThroughputThroughput ModelingWireless Network ModelsWireless Network Performance
We study the capacity of ad hoc wireless networks with mobile nodes. The mobility model examined is one where the nodes are restricted to move along one-dimensional paths. We examine the scaling laws for the per user throughput achievable over long time-scales, making this suitable for applications with loose delay constraints. We show that under this regime of restricted mobility, we attain a constant throughput (i.e., Θ (1)) per user, which is significantly higher than the throughput of fixed networks, which decays as O(1/√n) with the number of nodes n, as shown by Gupta and Kumar.
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The capacity of wireless networks
Piyush Gupta, P. R. Kumar · IEEE Transactions on Information Theory · 2000 · 8.4K citations
An Introduction to Probability Theory and its Applications
Frank E. Grubbs · Technometrics · 1967 · 1.1K citations