An introduction to signal detection and estimation (2nd ed.)
An introduction to signal detection and estimation (2nd ed.)
Strong approximations for Markovian service networks
Queueing Systems: Theory and Applications
Probabilistic routing in intermittently connected networks
ACM SIGMOBILE Mobile Computing and Communications Review
Performance modeling of epidemic routing
Computer Networks: The International Journal of Computer and Telecommunications Networking
Efficient routing in intermittently connected mobile networks: the single-copy case
IEEE/ACM Transactions on Networking (TON)
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We consider a Delay/Disruption Tolerant Network under two-hop routing. Our objective is to estimate and track the degree of spread of a message/file in the network. Indeed, having such real-time information is critical for on-line control of routing and energy expenditure. It also benefits the multi-casting application. With exponential inter-meeting times of mobile nodes: (i) for the estimation problem, we obtain exact expressions for the minimum mean-squared error (MMSE) estimator, and (ii) for the tracking problem, we first derive the diffusion approximations for the system dynamics and the measurements and then apply Kalman filtering. We also apply the solutions of the estimation and filtering problems to predict the time when a certain pre-defined fraction of nodes have received a copy of the message/file. Our analytical results are corroborated with extensive simulation results.