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Online hole healing for sensor coverage

Author

Listed:
  • Zhao Zhang

    (Zhejiang Normal University)

  • Zaixin Lu

    (Washington State University)

  • Xianyue Li

    (Lanzhou University)

  • Xiaohui Huang

    (Zhejiang Normal University)

  • Ding-Zhu Du

    (University of Texas at Dallas)

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.

Suggested Citation

  • Zhao Zhang & Zaixin Lu & Xianyue Li & Xiaohui Huang & Ding-Zhu Du, 2019. "Online hole healing for sensor coverage," Journal of Global Optimization, Springer, vol. 75(4), pages 1111-1131, December.
    • Handle: RePEc:spr:jglopt:v:75:y:2019:i:4:d:10.1007_s10898-019-00827-5
    DOI: 10.1007/s10898-019-00827-5
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    References listed on IDEAS

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    1. Andrew V. Goldberg & Robert E. Tarjan, 1990. "Finding Minimum-Cost Circulations by Successive Approximation," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 430-466, August.
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    4. Kühn, Frauke & Lichters, Marcel & Krey, Nina, 2020. "The touchy issue of produce: Need for touch in online grocery retailing," Journal of Business Research, Elsevier, vol. 117(C), pages 244-255.

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