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Title: Minimizing the total cost of barrier coverage in a linear domain
Author(s): Zhao, Yingchao 
Author(s): Zhang, X.
Fan, H.
Lee, V. C. S.
Li, M.
Liu, C.
Issue Date: 2018
Publisher: Springer
Journal: Journal of Combinatorial Optimization 
Volume: 36
Issue: 2
Start page: 434
End page: 457
Barrier coverage, as one of the most important applications of wireless sensor network (WSNs), is to provide coverage for the boundary of a target region. We study the barrier coverage problem by using a set of n sensors with adjustable coverage radii deployed along a line interval or circle. Our goal is to determine a range assignment R=(r1,r2,…,rn) of sensors such that the line interval or circle is fully covered and its total cost C(R)=∑ni=1riα is minimized. For the line interval case, we formulate the barrier coverage problem of line-based offsets deployment, and present two approximation algorithms to solve it. One is an approximation algorithm of ratio 4 / 3 runs in O(n2) time, while the other is a fully polynomial time approximation scheme (FPTAS) of computational complexity O(n2ϵ). For the circle case, we optimally solve it when α=1 and present a 2(π2)α-approximation algorithm when α>1. Besides, we propose an integer linear programming (ILP) to minimize the total cost of the barrier coverage problem such that each point of the line interval is covered by at least k sensors.
DOI: 10.1007/s10878-018-0306-6
CIHE Affiliated Publication: Yes
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