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Maximum lifetime connected coverage with two active-phase sensors

Author

Listed:
  • Hongwei Du
  • Panos Pardalos
  • Weili Wu
  • Lidong Wu

Abstract

A sensor with two active phrases means that active mode has two phases, the full-active phase and the semi-active phase, which require different energy consumptions. A full-active sensor can sense data packets, transmit, receive, and relay the data packets. A semi-active sensor cannot sense data packets, but it can transmit, receive, and relay data packets. Given a set of targets and a set of sensors with two active phrases, find a sleep/active schedule of sensors to maximize the time period during which active sensors form a connected coverage set. In this paper, this problem is showed to have polynomial-time $${(7.875+\varepsilon)}$$ -approximations for any $${\varepsilon >0 }$$ when all targets and sensors lie in the Euclidean plane and all sensors have the same sensing radius R s and the same communication radius R c with R c ≥ 2R s . Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Hongwei Du & Panos Pardalos & Weili Wu & Lidong Wu, 2013. "Maximum lifetime connected coverage with two active-phase sensors," Journal of Global Optimization, Springer, vol. 56(2), pages 559-568, June.
    • Handle: RePEc:spr:jglopt:v:56:y:2013:i:2:p:559-568
    DOI: 10.1007/s10898-012-9871-x
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    References listed on IDEAS

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    1. Yaochun Huang & Xiaofeng Gao & Zhao Zhang & Weili Wu, 2009. "A better constant-factor approximation for weighted dominating set in unit disk graph," Journal of Combinatorial Optimization, Springer, vol. 18(2), pages 179-194, August.
    2. Chen Wang & James Willson & Myung-Ah Park & Andras Farago & Weili Wu, 2010. "On dual power assignment optimization for biconnectivity," Journal of Combinatorial Optimization, Springer, vol. 19(2), pages 174-183, February.
    3. Feng Zou & Xianyue Li & Suogang Gao & Weili Wu, 2009. "Node-weighted Steiner tree approximation in unit disk graphs," Journal of Combinatorial Optimization, Springer, vol. 18(4), pages 342-349, November.
    4. Hongjie Du & Weili Wu & Shan Shan & Donghyun Kim & Wonjun Lee, 2012. "Constructing weakly connected dominating set for secure clustering in distributed sensor network," Journal of Combinatorial Optimization, Springer, vol. 23(2), pages 301-307, February.
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    Cited by:

    1. Yubai Zhang & Yingli Ran & Zhao Zhang, 2017. "A simple approximation algorithm for minimum weight partial connected set cover," Journal of Combinatorial Optimization, Springer, vol. 34(3), pages 956-963, October.
    2. Zhao Zhang & Wei Liang & Hongmin W. Du & Siwen Liu, 2022. "Constant Approximation for the Lifetime Scheduling Problem of p -Percent Coverage," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2675-2685, September.

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