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A robust sensor covering and communication problem

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  • Andrew Romich
  • Guanghui Lan
  • J. Cole Smith

Abstract

We consider the problem of placing sensors across some area of interest. The sensors must be placed so that they cover a fixed set of targets in the region, and should be deployed in a manner that allows sensors to communicate with one another. In particular, there exists a measure of communication effectiveness for each sensor pair, which is determined by a concave function of distance between the sensors. Complicating the sensor location problem are uncertainties related to sensor placement, for example, as caused by drifting due to air or water currents to which the sensors may be subjected. Our problem thus seeks to maximize a metric regarding intrasensor communication effectiveness, subject to the condition that all targets must be covered by some sensor, where sensor drift occurs according to a robust (worst‐case) mechanism. We formulate an approximation approach and develop a cutting‐plane algorithm to solve this problem, comparing the effectiveness of two different classes of inequalities. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 582–594, 2015

Suggested Citation

  • Andrew Romich & Guanghui Lan & J. Cole Smith, 2015. "A robust sensor covering and communication problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 582-594, October.
    • Handle: RePEc:wly:navres:v:62:y:2015:i:7:p:582-594
    DOI: 10.1002/nav.21665
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    References listed on IDEAS

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    1. Takafumi Kanamori & Akiko Takeda, 2012. "Worst-Case Violation of Sampled Convex Programs for Optimization with Uncertainty," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 171-197, January.
    2. Ahmed Ghoniem & Hanif Sherali, 2011. "Defeating symmetry in combinatorial optimization via objective perturbations and hierarchical constraints," IISE Transactions, Taylor & Francis Journals, vol. 43(8), pages 575-588.
    3. Behnam Behdani & J. Smith & Ye Xia, 2013. "The lifetime maximization problem in wireless sensor networks with a mobile sink: mixed-integer programming formulations and algorithms," IISE Transactions, Taylor & Francis Journals, vol. 45(10), pages 1094-1113.
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    Cited by:

    1. Kuzbakov, Yerlan & Ljubić, Ivana, 2024. "New formulations for two location problems with interconnected facilities," European Journal of Operational Research, Elsevier, vol. 314(1), pages 51-65.

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