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Approximation algorithm for minimum power partial multi-coverage in wireless sensor networks

Author

Listed:
  • Yingli Ran

    (Zhejiang Normal University)

  • Xiaohui Huang

    (Zhejiang Normal University)

  • Zhao Zhang

    (Zhejiang Normal University)

  • Ding-Zhu Du

    (University of Texas at Dallas)

Abstract

In this paper, we consider the wireless sensor network in which the power of each sensor is adjustable. Given a set of sensors and a set of targets, we study a problem of minimizing the total power such that the coverage of targets meets partial multi-cover requirement, that is, there are at least a given number of targets each covered by a given number of sensors (this number is called the covering requirement for the target). This is called the minimum power partial multi-cover problem (MinPowerPMC) in a wireless sensor network. Under the assumption that the covering requirements for all targets are upper bounded by a constant, we design the first PTAS for the MinPowerPMC problem, that is, for any $$\varepsilon >0$$ ε > 0 , a polynomial-time $$(1+\varepsilon )$$ ( 1 + ε ) -approximation.

Suggested Citation

  • Yingli Ran & Xiaohui Huang & Zhao Zhang & Ding-Zhu Du, 2021. "Approximation algorithm for minimum power partial multi-coverage in wireless sensor networks," Journal of Global Optimization, Springer, vol. 80(3), pages 661-677, July.
    • Handle: RePEc:spr:jglopt:v:80:y:2021:i:3:d:10.1007_s10898-021-01033-y
    DOI: 10.1007/s10898-021-01033-y
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    References listed on IDEAS

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    1. Weili Wu & Zhao Zhang & Wonjun Lee & Ding-Zhu Du, 2020. "Optimal Coverage in Wireless Sensor Networks," Springer Optimization and Its Applications, Springer, number 978-3-030-52824-9, June.
    2. Menghong Li & Yingli Ran & Zhao Zhang, 0. "A primal-dual algorithm for the minimum power partial cover problem," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-11.
    3. Yingli Ran & Yishuo Shi & Changbing Tang & Zhao Zhang, 2020. "A primal-dual algorithm for the minimum partial set multi-cover problem," Journal of Combinatorial Optimization, Springer, vol. 39(3), pages 725-746, April.
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    Citations

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    Cited by:

    1. Han Dai & Bin Deng & Weidong Li & Xiaofei Liu, 2022. "A note on the minimum power partial cover problem on the plane," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 970-978, September.
    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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