Journal
MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2015, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2015/672768
Keywords
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Funding
- National Natural Science Foundation of China [51274202]
- Fundamental Research Funds for the Central Universities [2013RC11, 2014ZDPY16]
- Transformation Program of Scientific and Technological Achievements of Jiangsu Province [BA2012068]
- Natural Science Foundation of Jiangsu Province of China [BK20130199, BK20131124]
- Perspective Research Foundation of Production Study and Research Alliance of Jiangsu Province [BY2014028-01]
- National Program of Students Innovation Training [201510290066]
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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 w is given, the node sensing radius r had better satisfied w < r < 2w 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.
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