Optimizing Movement for Maximizing Lifetime of Mobile Sensors for Covering Targets on a Line
College of Physics and Information Engineering, Fuzhou University, Fuzhou 350116, China
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
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
-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
and produces an optimal solution to LBTC. The time complexity compares favorably to the state-of-art runtime
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.
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 (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Huang, P.; Zhu, W.; Guo, L. Optimizing Movement for Maximizing Lifetime of Mobile Sensors for Covering Targets on a Line. Sensors 2019, 19, 273.
Huang P, Zhu W, Guo L. Optimizing Movement for Maximizing Lifetime of Mobile Sensors for Covering Targets on a Line. Sensors. 2019; 19(2):273.
Huang, Peihuang; Zhu, Wenxing; Guo, Longkun. 2019. "Optimizing Movement for Maximizing Lifetime of Mobile Sensors for Covering Targets on a Line." Sensors 19, no. 2: 273.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.