Failure filtrations for fenced sensor networks
In this paper we consider the question of sensor network coverage for a two-dimensional domain. We seek to compute the probability that a set of sensors fails to cover given only non-metric, local (who is talking to whom) information and a probability distribution of failure of each node. This builds on the work of de Silva and Ghrist who analyzed this problem in the deterministic situation. We first show that it is part of a slightly larger class of problems which is #P-hard, and thus fast algorithms likely do not exist unless P = NP. The question of whether the specific problem is, in fact, #P-hard remains open. We then give a deterministic algorithm which is feasible in the case of a small set of sensors, and give a dynamic algorithm for an arbitrary set of sensors failing over time which utilizes a new criterion for coverage to give an early warning of potential failure. These algorithms build on the theory of topological persistence. © The Author(s) 2012.
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Related Subject Headings
- Industrial Engineering & Automation
- 4603 Computer vision and multimedia computation
- 4007 Control engineering, mechatronics and robotics
- 0913 Mechanical Engineering
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing
Citation
Published In
DOI
EISSN
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Industrial Engineering & Automation
- 4603 Computer vision and multimedia computation
- 4007 Control engineering, mechatronics and robotics
- 0913 Mechanical Engineering
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing