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Minimizing mobile sensor movements to form a line K-coverage

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Abstract

In wireless sensor networks and social networks, distributed nodes usually form a network with coverage ability for a lot of applications, such as the intrusion detection. In this paper, a new kind of coverage problem with mobile sensors is addressed, named Line K-Coverage. It guarantees that any intruder trajectory line cutting across a region of interest will be detected by at least K sensors. For energy efficiency, we aim to schedule an efficient sensor movement to satisfy the line K-coverage while minimizing the total sensor movements, which is named as LK-MinMovs problem. We firstly construct two time-efficient heuristics named LK-KM and LK-KM+ based on the famous Hungarian algorithm. By sacrificing optimality a little bit, these two algorithms have better time efficiency. Then we propose a pioneering layer-based algorithm LLK-MinMovs to solve LK-MinMovs in polynomial time. Here, we assume that all sensors are initially located in a closed region. We validate its correctness by theoretical analysis. Later, the more general situation are considered that all sensors are allowed to locate outside of the region. We improve LLK-MinMovs algorithm to the general version: GenLLK-MinMovs. More importantly, our GenLLK-MinMovs fixes a critical flaw for MinSum algorithm which was proposed by previous literature to solve line 1-coverage problem. We show the flaw using a counter example. Finally, we validate the efficiency of all our designs by numerical experiments and compare them under different experiment settings.

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Authors and Affiliations

  1. Shanghai Key Laboratory of Scalable Computing and Systems, Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yang Wang, Shuang Wu, Xiaofeng Gao, Fan Wu & Guihai Chen

Authors
  1. Yang Wang
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  2. Shuang Wu
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  3. Xiaofeng Gao
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  4. Fan Wu
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  5. Guihai Chen
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Corresponding author

Correspondence to Xiaofeng Gao.

Additional information

This work was supported in part by the State Key Development Program for Basic Research of China (973 project 2012CB316201), in part by the Opening Project of Key Lab of Information Network Security of Ministry of Public Security (The Third Research Institute of Ministry of Public Security) Grant number C15602, the Opening Project of Baidu (Grant number 181515P005267), China NSF grant 61422208, 61472252, 61272443 and 61133006, Shanghai Science and Technology fund 15220721300, and in part by CCF-Tencent Open Fund. The opinions, findings, conclusions, and recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the funding agencies or the government.

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Wang, Y., Wu, S., Gao, X. et al. Minimizing mobile sensor movements to form a line K-coverage. Peer-to-Peer Netw. Appl. 10, 1063–1078 (2017). https://doi.org/10.1007/s12083-016-0469-9

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  • DOI: https://doi.org/10.1007/s12083-016-0469-9

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