On optimal coverage with unreliable sensors

Paolo Frasca, Federica Garin

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    1 Citation (Scopus)


    This paper regards the problem of placing unreliable sensors in a given one-dimensional environment, in such a way to optimize a given coverage cost. We specifically consider the disk-coverage cost, whose optimal solution for reliable sensors is simply an equally-spaced configuration of the sensors. If we allow that the sensors may fail to take or communicate their measurements, this solution may instead not be optimal. However, as the number of sensors grows to infinity, the ratio between the cost of equally-spaced configurations and the optimal failure-free cost only grows as the logarithm of the number of sensors. We interpret this result as a confirmation of the intrinsic robustness of sensor networks.
    Original languageUndefined
    Title of host publicationEstimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems
    PublisherInternational Federation of Automatic Control
    Number of pages5
    ISBN (Print)978-3-902823-55-7
    Publication statusPublished - Sep 2013

    Publication series

    PublisherInternational Federation of Automatic Control


    • EWI-24151
    • IR-88309
    • METIS-300242

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