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Sensors 2019, 19(2), 273; https://doi.org/10.3390/s19020273

Optimizing Movement for Maximizing Lifetime of Mobile Sensors for Covering Targets on a Line

1
College of Physics and Information Engineering, Fuzhou University, Fuzhou 350116, China
2
College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China
*
Author to whom correspondence should be addressed.
Received: 13 December 2018 / Revised: 6 January 2019 / Accepted: 8 January 2019 / Published: 11 January 2019
(This article belongs to the Special Issue Algorithm and Distributed Computing for the Internet of Things)
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Abstract

Given a set of sensors distributed on the plane and a set of Point of Interests (POIs) on a line segment, a primary task of the mobile wireless sensor network is to schedule covering the POIs by the sensors, such that each POI is monitored by at least one sensor. For balancing the energy consumption, we study the min-max line barrier target coverage (LBTC) problem which aims to minimize the maximum movement of the sensors from their original positions to their final positions at which the coverage is composed. We first proved that when the radius of the sensors are non-uniform integers, even 1-dimensional LBTC (1D-LBTC), a special case of LBTC in which the sensors are distributed on the line segment instead of the plane, is NP -hard. The hardness result is interesting, since the continuous version of LBTC to cover a given line segment instead of the POIs is known polynomial solvable. Then we present an exact algorithm for LBTC with uniform radius and sensors distributed on the plane, via solving the decision version of LBTC. We argue that our algorithm runs in time O ( n 2 log n ) and produces an optimal solution to LBTC. The time complexity compares favorably to the state-of-art runtime O ( n 3 log n ) of the continuous version which aims to cover a line barrier instead of the targets. Last but not the least, we carry out numerical experiments to evaluate the practical performance of the algorithms, which demonstrates a practical runtime gain comparing with an optimal algorithm based on integer linear programming. View Full-Text
Keywords: mobile sensor; ??-hard; target coverage; line boundary; optimal solution mobile sensor; ??-hard; target coverage; line boundary; optimal solution
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Huang, P.; Zhu, W.; Guo, L. Optimizing Movement for Maximizing Lifetime of Mobile Sensors for Covering Targets on a Line. Sensors 2019, 19, 273.

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