Circle formation by asynchronous opaque fat robots on an infinite grid
This study addresses the problem of 'Circle Formation on an Infinite Grid by Fat Robots' ( $ CF\_FAT\_GRID $ CF _FAT _GRID ). Unlike prior work focused solely on point robots in discrete domain, it introduces fat robots to circle formation on an infinite grid, aligning with practicality as...
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| Published in | International journal of parallel, emergent and distributed systems Vol. 39; no. 2; pp. 214 - 247 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Abingdon
Taylor & Francis
03.03.2024
Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1744-5760 1744-5779 |
| DOI | 10.1080/17445760.2024.2316017 |
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| Abstract | This study addresses the problem of 'Circle Formation on an Infinite Grid by Fat Robots' (
$ CF\_FAT\_GRID $
CF
_FAT
_GRID
). Unlike prior work focused solely on point robots in discrete domain, it introduces fat robots to circle formation on an infinite grid, aligning with practicality as even small robots inherently possess dimensions. The algorithm, named
$ CIRCLE\_FG $
CIRCLE
_FG
, resolves the
$ CF\_FAT\_GRID $
CF
_FAT
_GRID
problem using a swarm of fat luminous robots. Operating under an asynchronous scheduler, it achieves this with five distinct colors and by leveraging one-axis agreement among the robots. |
|---|---|
| AbstractList | This study addresses the problem of 'Circle Formation on an Infinite Grid by Fat Robots' (
$ CF\_FAT\_GRID $
CF
_FAT
_GRID
). Unlike prior work focused solely on point robots in discrete domain, it introduces fat robots to circle formation on an infinite grid, aligning with practicality as even small robots inherently possess dimensions. The algorithm, named
$ CIRCLE\_FG $
CIRCLE
_FG
, resolves the
$ CF\_FAT\_GRID $
CF
_FAT
_GRID
problem using a swarm of fat luminous robots. Operating under an asynchronous scheduler, it achieves this with five distinct colors and by leveraging one-axis agreement among the robots. This study addresses the problem of ‘Circle Formation on an Infinite Grid by Fat Robots’ ( CF_FAT_GRID). Unlike prior work focused solely on point robots in discrete domain, it introduces fat robots to circle formation on an infinite grid, aligning with practicality as even small robots inherently possess dimensions. The algorithm, named CIRCLE_FG, resolves the CF_FAT_GRID problem using a swarm of fat luminous robots. Operating under an asynchronous scheduler, it achieves this with five distinct colors and by leveraging one-axis agreement among the robots. |
| Author | Ghosh, Satakshi Kumar Kundu, Manash Sau, Buddhadeb Goswami, Pritam |
| Author_xml | – sequence: 1 givenname: Pritam surname: Goswami fullname: Goswami, Pritam email: pritamgoswami.math.rs@jadavpuruniversity.in organization: Jadavpur University – sequence: 2 givenname: Manash surname: Kumar Kundu fullname: Kumar Kundu, Manash organization: Gayeshpur Government Polytechnic, Department of Science and Humanities – sequence: 3 givenname: Satakshi surname: Ghosh fullname: Ghosh, Satakshi organization: Jadavpur University – sequence: 4 givenname: Buddhadeb surname: Sau fullname: Sau, Buddhadeb organization: Jadavpur University |
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| Cites_doi | 10.1137/050645221 10.1016/j.tcs.2022.10.015 10.1007/978-3-031-21017-4_26 10.7494/csci.2021.22.1.3840 10.1080/17445760.2022.2124411 10.1007/s00446-016-0291-x 10.1007/978-3-031-37765-5_12 10.4230/LIPIcs.DISC.2020.12 10.3390/app13137991 10.1016/j.tcs.2008.01.050 10.1007/978-3-031-21017-4_11 10.1007/978-3-030-03232-6_21 10.1137/S009753979628292X 10.1016/j.tcs.2008.07.026 10.1145/3491003.3493373 10.1007/978-3-031-21017-4_18 10.1007/978-3-030-79527-6_11 10.1145/584490.584509 10.1016/j.tcs.2005.01.001 10.1007/s00446-017-0293-3 10.1007/978-3-030-67087-0_9 10.1080/17445760.2022.2088750 10.1007/978-3-030-39219-2_28 10.1007/978-3-642-28073-3_8 |
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| References | e_1_3_2_27_1 e_1_3_2_20_1 e_1_3_2_21_1 e_1_3_2_23_1 e_1_3_2_24_1 e_1_3_2_25_1 e_1_3_2_26_1 Tanaka O. (e_1_3_2_18_1) 1992 e_1_3_2_16_1 e_1_3_2_9_1 e_1_3_2_17_1 e_1_3_2_8_1 e_1_3_2_7_1 e_1_3_2_19_1 e_1_3_2_2_1 e_1_3_2_10_1 e_1_3_2_11_1 e_1_3_2_6_1 e_1_3_2_12_1 e_1_3_2_5_1 e_1_3_2_13_1 e_1_3_2_4_1 e_1_3_2_14_1 e_1_3_2_3_1 e_1_3_2_15_1 Sugihara K (e_1_3_2_22_1) 1990; 1 |
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| Snippet | This study addresses the problem of 'Circle Formation on an Infinite Grid by Fat Robots' (
$ CF\_FAT\_GRID $
CF
_FAT
_GRID
). Unlike prior work focused solely... This study addresses the problem of ‘Circle Formation on an Infinite Grid by Fat Robots’ ( CF_FAT_GRID). Unlike prior work focused solely on point robots in... |
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| StartPage | 214 |
| SubjectTerms | Algorithms asynchronous circle formation infinite grid LCM cycle luminous robots Robots Swarm robot algorithm |
| Title | Circle formation by asynchronous opaque fat robots on an infinite grid |
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