Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Barrier Covering in 2D Using Mobile Sensors with Circular Coverage Areas. / Erzin, Adil; Lagutkina, Natalya; Ioramishvili, Nika.
Learning and Intelligent Optimization - 13th International Conference, LION 13, Revised Selected Papers. ed. / Nikolaos F. Matsatsinis; Yannis Marinakis; Panos Pardalos. Springer Gabler, 2020. p. 342-354 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11968 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Barrier Covering in 2D Using Mobile Sensors with Circular Coverage Areas
AU - Erzin, Adil
AU - Lagutkina, Natalya
AU - Ioramishvili, Nika
N1 - Publisher Copyright: © 2020, Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - In the problem of barrier monitoring using mobile sensors with circular coverage areas, it is required to move the sensors onto some line (barrier) so that each barrier point belongs to the coverage area of at least one sensor. One of the criteria for the effectiveness of coverage is the minimum of the total length of the paths traveled by sensors. If we give up the requirement to move the sensors onto the barrier, then the problem (which is NP-hard) will not be easier. But at the same time, the value of the objective function can be reduced significantly. In this paper, we propose a new pseudo-polynomial algorithm which in the case of equal disks builds an optimal solution in the metric and a -approximate solution in the Euclidean metric. This algorithm is an efficient implementation of the dynamic programming method in which at the stage of preliminary calculations for each sensor it is possible to find a finite number of analytical functions equal to the minimal length of the path traveled by the sensor depending on the positions of the circle and the barrier. The conducted numerical experiment showed that if we remove the requirement to move the sensors onto the barrier, then the value of the objective function may decrease several times.
AB - In the problem of barrier monitoring using mobile sensors with circular coverage areas, it is required to move the sensors onto some line (barrier) so that each barrier point belongs to the coverage area of at least one sensor. One of the criteria for the effectiveness of coverage is the minimum of the total length of the paths traveled by sensors. If we give up the requirement to move the sensors onto the barrier, then the problem (which is NP-hard) will not be easier. But at the same time, the value of the objective function can be reduced significantly. In this paper, we propose a new pseudo-polynomial algorithm which in the case of equal disks builds an optimal solution in the metric and a -approximate solution in the Euclidean metric. This algorithm is an efficient implementation of the dynamic programming method in which at the stage of preliminary calculations for each sensor it is possible to find a finite number of analytical functions equal to the minimal length of the path traveled by the sensor depending on the positions of the circle and the barrier. The conducted numerical experiment showed that if we remove the requirement to move the sensors onto the barrier, then the value of the objective function may decrease several times.
KW - Barrier monitoring
KW - Covering
KW - Mobile sensors
UR - http://www.scopus.com/inward/record.url?scp=85078440825&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-38629-0_28
DO - 10.1007/978-3-030-38629-0_28
M3 - Conference contribution
AN - SCOPUS:85078440825
SN - 9783030386283
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 342
EP - 354
BT - Learning and Intelligent Optimization - 13th International Conference, LION 13, Revised Selected Papers
A2 - Matsatsinis, Nikolaos F.
A2 - Marinakis, Yannis
A2 - Pardalos, Panos
PB - Springer Gabler
T2 - 13th International Conference on Learning and Intelligent Optimization, LION 13
Y2 - 27 May 2019 through 31 May 2019
ER -
ID: 23905640