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Mathematical Problems in Engineering
Volume 2015, Article ID 672768, 13 pages
Research Article

Node Placement for Long Bounded Belt Complete 2-Coverage in Wireless Sensor Networks

1College of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, China
2Coal Mine Electrical Engineering and Automation Laboratory in Jiangsu Province, Xuzhou 221008, China

Received 30 June 2015; Revised 25 September 2015; Accepted 13 October 2015

Academic Editor: Franck J. Vernerey

Copyright © 2015 Tingting Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Based on Isosceles Triangle (Iso-Tri) placement and the extended Equalization Strip theory, we propose an Isosceles Trapezoid complete 2-coverage (Iso-TraC2) placement method for completely covering a long bounded belt area, which requires that any point within the belt is covered by at least two nodes. Coverage density and coverage efficiency are calculated to evaluate the degree of complete coverage, which can reflect the number of nodes needed and the degree of redundancy, respectively. The extreme ratio of sensing radius to belt width is deduced when the coverage density reaches the minimal value. Results demonstrate that when a belt with width is given, the node sensing radius had better satisfied to guarantee a higher coverage efficiency and lower coverage density for bounded belt compete coverage. Mathematical analysis shows that the proposed method performs better than the existing ones with smaller nodes number and less coverage redundancy.