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

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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 \(\varepsilon >0\), a polynomial-time \((1+\varepsilon )\)-approximation.

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Acknowledgements

This research is supported in part by National Natural Science Foundation of China (11901533, U20A2068, 11771013), Zhejiang Provincial Natural Science Foundation of China (LD19A010001) and National Science Foundation of USA (1907472).

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China

    Yingli Ran, Xiaohui Huang & Zhao Zhang

  2. Department of Computer Science, University of Texas at Dallas, Richardson, TX, 75080, USA

    Ding-Zhu Du

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  1. Yingli Ran
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  2. Xiaohui Huang
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  3. Zhao Zhang
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  4. Ding-Zhu Du
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Correspondence to Zhao Zhang or Ding-Zhu Du.

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Ran, Y., Huang, X., Zhang, Z. et al. Approximation algorithm for minimum power partial multi-coverage in wireless sensor networks. J Glob Optim 80, 661–677 (2021). https://doi.org/10.1007/s10898-021-01033-y

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