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Online hole healing for sensor coverage

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Abstract

Many applications of wireless sensor networks require a quality of service including coverage and connectivity. However, both coverage and connectivity may be lost due to failure of sensors, in which case some holes appear. To heal holes, a hybrid wireless sensor system with mobile sensors has been proposed in the literature. Redundant mobile sensors can move to heal holes. Limited by energy supply, the largest distance that a mobile sensor can move cannot be too large. Such a consideration calls for cascade hole healing. This paper studies online cascade hole healing problem in which holes appear online and should be healed immediately without knowing future locations of holes. Two targets are considered, aiming to minimize the total energy consumption and the largest individual energy consumption, respectively. We show that naive greedy strategy does not work well for both targets, having exponentially large competitive ratios in a worst case. Then, we present two online algorithms with theoretically guaranteed tight competitive ratios. Extensive experiments show that our algorithm approximates offline optimal solutions fairly well.

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Acknowledgements

We would like to thank the reviewers for their valuable suggestions.

This research work is supported in part by NSFC (11771013, 61751303, 11531011, 61472272), the Zhejiang Provincial Natural Science Foundation of China (LD19A010001, LY19A010018), and NSF under grant 1747818.

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Authors and Affiliations

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

    Zhao Zhang

  2. School of Engineering and Computer Science, Washington State University, Vancouver, WA, 98686, USA

    Zaixin Lu

  3. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, China

    Xianyue Li

  4. Library and Information Center, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China

    Xiaohui Huang

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

    Ding-Zhu Du

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  1. Zhao Zhang
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  2. Zaixin Lu
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  3. Xianyue Li
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  4. Xiaohui Huang
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  5. Ding-Zhu Du
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Correspondence to Ding-Zhu Du.

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Zhang, Z., Lu, Z., Li, X. et al. Online hole healing for sensor coverage. J Glob Optim 75, 1111–1131 (2019). https://doi.org/10.1007/s10898-019-00827-5

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  • DOI: https://doi.org/10.1007/s10898-019-00827-5

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