A study on the weak barrier coverage problem in wireless sensor networks

  • Authors:
  • Lei Li;Baoxian Zhang;Xiaojun Shen;Jun Zheng;Zheng Yao

  • Affiliations:
  • Key Lab of Wireless Sensor Networks and Communications, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China;Research Center of Ubiquitous Sensor Networks, Graduate University of Chinese Academy of Sciences, Beijing 100049, China;School of Computing and Engineering, University of Missouri, Kansas City, MO 64110, USA;National Mobile Communications Research Laboratory, Southeast University, Nanjing, Jiangsu 210096, China;Research Center of Ubiquitous Sensor Networks, Graduate University of Chinese Academy of Sciences, Beijing 100049, China

  • Venue:
  • Computer Networks: The International Journal of Computer and Telecommunications Networking
  • Year:
  • 2011

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Abstract

Anti-intrusion is a typical application of wireless sensor networks (WSNs). It usually requires sensor nodes to be deployed in a long belt region. The coverage problem in this kind of applications is often referred to as barrier coverage, which is classified into weak barrier coverage and strong barrier coverage. A belt region is called weakly k-barrier covered (k=1) if an intruder traveling along any orthogonal crossing path can be detected by at least k sensors. For sensor deployment in a belt service region, an interesting and important question is ''How many sensor nodes should be deployed to achieve weak k-barrier coverage with a given probability?'' In this paper, we study the weak k-barrier coverage problem and attempt to answer this question by analyzing the probability of weak k-barrier coverage. We derive a lower bound for the probability of weak k-barrier coverage with and without considering the border effect, respectively. Moreover, we propose a simple but effective algorithm for accurately determining whether a deployed belt region is weakly k-barrier covered, and if not, what percentage of the region is not weakly k-barrier covered. Simulation results show that the derived lower bound is very close to the actual probability of weak k-barrier coverage, especially when k is small, and the border effect has a big impact on the probability of weak k-barrier coverage.