Approximation algorithms for the set cover formation by oblivious mobile robots

Tomoko Izumi, Sayaka Kamei, Yukiko Yamauchi

研究成果: 著書/レポートタイプへの貢献会議での発言

1 引用 (Scopus)

抄録

Given n robots and n target points on the plane, the minimum set cover formation (SCF) problem requires the robots to form a set cover by the minimum number of robots. In previous formation problems by mobile robots, such as gathering and pattern formation, the problems consist only of the mobile robots, and there are no points fixed in the environment. In addition, the problems do not require a control of the number of robots constructing the formation. In this paper, we first introduce the formation problem in which robots move so that they achieve a desired deployment with the minimum number of robots for a given set of positions of fixed points.

Since the minimum set cover problem with disks in the centralized settings is NP-hard, our goal is to propose approximation algorithms for the minimum SCF problem. First, we show a minimal SCF algorithm from any initial configuration in the asynchronous system. Moreover, we propose an 8-approximation SCF algorithm in the semi-synchronous system for an initial configuration with a low symmetricity. This approximation algorithm achieves 2(1 + 1/l)2 approximation ratio for an initial configuration with the lowest symmetricity (l ≥ 1).

元の言語英語
ホスト出版物のタイトルPrinciples of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings
編集者Marcos K. Aguilera, Leonardo Querzoni, Marc Shapiro
出版者Springer Verlag
ページ233-247
ページ数15
ISBN(電子版)9783319144719
出版物ステータス出版済み - 1 1 2014
イベント18th International Conference on Principles of Distributed Systems, OPODIS 2014 - Cortina d’Ampezzo, イタリア
継続期間: 12 16 201412 19 2014

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
8878
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

その他

その他18th International Conference on Principles of Distributed Systems, OPODIS 2014
イタリア
Cortina d’Ampezzo
期間12/16/1412/19/14

Fingerprint

Set Cover
Approximation algorithms
Mobile Robot
Mobile robots
Approximation Algorithms
Robots
Robot
Configuration
Fixed point
Synchronous Systems
Asynchronous Systems
Minimal Set
Approximation
Pattern Formation
Lowest
NP-complete problem
Target

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

これを引用

Izumi, T., Kamei, S., & Yamauchi, Y. (2014). Approximation algorithms for the set cover formation by oblivious mobile robots. : M. K. Aguilera, L. Querzoni, & M. Shapiro (版), Principles of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings (pp. 233-247). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 8878). Springer Verlag.

Approximation algorithms for the set cover formation by oblivious mobile robots. / Izumi, Tomoko; Kamei, Sayaka; Yamauchi, Yukiko.

Principles of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings. 版 / Marcos K. Aguilera; Leonardo Querzoni; Marc Shapiro. Springer Verlag, 2014. p. 233-247 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻 8878).

研究成果: 著書/レポートタイプへの貢献会議での発言

Izumi, T, Kamei, S & Yamauchi, Y 2014, Approximation algorithms for the set cover formation by oblivious mobile robots. : MK Aguilera, L Querzoni & M Shapiro (版), Principles of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 巻. 8878, Springer Verlag, pp. 233-247, 18th International Conference on Principles of Distributed Systems, OPODIS 2014, Cortina d’Ampezzo, イタリア, 12/16/14.
Izumi T, Kamei S, Yamauchi Y. Approximation algorithms for the set cover formation by oblivious mobile robots. : Aguilera MK, Querzoni L, Shapiro M, 編集者, Principles of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings. Springer Verlag. 2014. p. 233-247. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Izumi, Tomoko ; Kamei, Sayaka ; Yamauchi, Yukiko. / Approximation algorithms for the set cover formation by oblivious mobile robots. Principles of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings. 編集者 / Marcos K. Aguilera ; Leonardo Querzoni ; Marc Shapiro. Springer Verlag, 2014. pp. 233-247 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
@inproceedings{586c7882699e43dc95998355c65a15fe,
title = "Approximation algorithms for the set cover formation by oblivious mobile robots",
abstract = "Given n robots and n target points on the plane, the minimum set cover formation (SCF) problem requires the robots to form a set cover by the minimum number of robots. In previous formation problems by mobile robots, such as gathering and pattern formation, the problems consist only of the mobile robots, and there are no points fixed in the environment. In addition, the problems do not require a control of the number of robots constructing the formation. In this paper, we first introduce the formation problem in which robots move so that they achieve a desired deployment with the minimum number of robots for a given set of positions of fixed points.Since the minimum set cover problem with disks in the centralized settings is NP-hard, our goal is to propose approximation algorithms for the minimum SCF problem. First, we show a minimal SCF algorithm from any initial configuration in the asynchronous system. Moreover, we propose an 8-approximation SCF algorithm in the semi-synchronous system for an initial configuration with a low symmetricity. This approximation algorithm achieves 2(1 + 1/l)2 approximation ratio for an initial configuration with the lowest symmetricity (l ≥ 1).",
author = "Tomoko Izumi and Sayaka Kamei and Yukiko Yamauchi",
year = "2014",
month = "1",
day = "1",
language = "English",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "233--247",
editor = "Aguilera, {Marcos K.} and Leonardo Querzoni and Marc Shapiro",
booktitle = "Principles of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings",
address = "Germany",

}

TY - GEN

T1 - Approximation algorithms for the set cover formation by oblivious mobile robots

AU - Izumi, Tomoko

AU - Kamei, Sayaka

AU - Yamauchi, Yukiko

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Given n robots and n target points on the plane, the minimum set cover formation (SCF) problem requires the robots to form a set cover by the minimum number of robots. In previous formation problems by mobile robots, such as gathering and pattern formation, the problems consist only of the mobile robots, and there are no points fixed in the environment. In addition, the problems do not require a control of the number of robots constructing the formation. In this paper, we first introduce the formation problem in which robots move so that they achieve a desired deployment with the minimum number of robots for a given set of positions of fixed points.Since the minimum set cover problem with disks in the centralized settings is NP-hard, our goal is to propose approximation algorithms for the minimum SCF problem. First, we show a minimal SCF algorithm from any initial configuration in the asynchronous system. Moreover, we propose an 8-approximation SCF algorithm in the semi-synchronous system for an initial configuration with a low symmetricity. This approximation algorithm achieves 2(1 + 1/l)2 approximation ratio for an initial configuration with the lowest symmetricity (l ≥ 1).

AB - Given n robots and n target points on the plane, the minimum set cover formation (SCF) problem requires the robots to form a set cover by the minimum number of robots. In previous formation problems by mobile robots, such as gathering and pattern formation, the problems consist only of the mobile robots, and there are no points fixed in the environment. In addition, the problems do not require a control of the number of robots constructing the formation. In this paper, we first introduce the formation problem in which robots move so that they achieve a desired deployment with the minimum number of robots for a given set of positions of fixed points.Since the minimum set cover problem with disks in the centralized settings is NP-hard, our goal is to propose approximation algorithms for the minimum SCF problem. First, we show a minimal SCF algorithm from any initial configuration in the asynchronous system. Moreover, we propose an 8-approximation SCF algorithm in the semi-synchronous system for an initial configuration with a low symmetricity. This approximation algorithm achieves 2(1 + 1/l)2 approximation ratio for an initial configuration with the lowest symmetricity (l ≥ 1).

UR - http://www.scopus.com/inward/record.url?scp=84917743766&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84917743766&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84917743766

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 233

EP - 247

BT - Principles of Distributed Systems - 18th International Conference, OPODIS 2014, Proceedings

A2 - Aguilera, Marcos K.

A2 - Querzoni, Leonardo

A2 - Shapiro, Marc

PB - Springer Verlag

ER -