Barrier Covering in 2D Using Mobile Sensors with Circular Coverage Areas

Adil Erzin, Natalya Lagutkina, Nika Ioramishvili

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationLearning and Intelligent Optimization - 13th International Conference, LION 13, Revised Selected Papers
EditorsNikolaos F. Matsatsinis, Yannis Marinakis, Panos Pardalos
PublisherSpringer Gabler
Pages342-354
Number of pages13
ISBN (Print)9783030386283
DOIs
Publication statusPublished - 1 Jan 2020
Event13th International Conference on Learning and Intelligent Optimization, LION 13 - Chania, Greece
Duration: 27 May 201931 May 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11968 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th International Conference on Learning and Intelligent Optimization, LION 13
CountryGreece
CityChania
Period27.05.201931.05.2019

Keywords

  • Barrier monitoring
  • Covering
  • Mobile sensors

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