---
_id: '16360'
abstract:
- lang: eng
text: 'We consider the following variant of the two dimensional gathering problem
for swarms of robots: Given a swarm of n indistinguishable, point shaped robots
on a two dimensional grid. Initially, the robots form a closed chain on the grid
and must keep this connectivity during the whole process of their gathering. Connectivity
means, that neighboring robots of the chain need to be positioned at the same
or neighboring points of the grid. In our model, gathering means to keep shortening
the chain until the robots are located inside a 2*2 subgrid. Our model is completely
local (no global control, no global coordinates, no compass, no global communication
or vision, ...). Each robot can only see its next constant number of left and
right neighbors on the chain. This fixed constant is called the viewing path length.
All its operations and detections are restricted to this constant number of robots.
Other robots, even if located at neighboring or the same grid point cannot be
detected. Only based on the relative positions of its detectable chain neighbors,
a robot can decide to obtain a certain state. Based on this state and their local
knowledge, the robots do local modifications to the chain by moving to neighboring
grid points without breaking the chain. These modifications are performed without
the knowledge whether they lead to a global progress or not. We assume the fully
synchronous FSYNC model. For this problem, we present a gathering algorithm which
needs linear time. This result generalizes a result, where an open chain with
specified distinguishable (and fixed) endpoints is considered. '
author:
- first_name: Sebastian
full_name: Abshoff, Sebastian
last_name: Abshoff
- first_name: Andreas
full_name: Cord-Landwehr, Andreas
last_name: Cord-Landwehr
- first_name: Matthias
full_name: Fischer, Matthias
id: '146'
last_name: Fischer
- first_name: Daniel
full_name: Jung, Daniel
id: '37827'
last_name: Jung
- first_name: Friedhelm
full_name: Meyer auf der Heide, Friedhelm
id: '15523'
last_name: Meyer auf der Heide
citation:
ama: 'Abshoff S, Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Gathering
a Closed Chain of Robots on a Grid. In: Proceedings of the 30th International
Parallel and Distributed Processing Symposium (IPDPS). IEEE; 2016:689-699.
doi:10.1109/IPDPS.2016.51'
apa: Abshoff, S., Cord-Landwehr, A., Fischer, M., Jung, D., & Meyer auf der
Heide, F. (2016). Gathering a Closed Chain of Robots on a Grid. In Proceedings
of the 30th International Parallel and Distributed Processing Symposium (IPDPS)
(pp. 689–699). IEEE. https://doi.org/10.1109/IPDPS.2016.51
bibtex: '@inproceedings{Abshoff_Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016,
title={Gathering a Closed Chain of Robots on a Grid}, DOI={10.1109/IPDPS.2016.51},
booktitle={Proceedings of the 30th International Parallel and Distributed Processing
Symposium (IPDPS)}, publisher={IEEE}, author={Abshoff, Sebastian and Cord-Landwehr,
Andreas and Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm},
year={2016}, pages={689–699} }'
chicago: Abshoff, Sebastian, Andreas Cord-Landwehr, Matthias Fischer, Daniel Jung,
and Friedhelm Meyer auf der Heide. “Gathering a Closed Chain of Robots on a Grid.”
In Proceedings of the 30th International Parallel and Distributed Processing
Symposium (IPDPS), 689–99. IEEE, 2016. https://doi.org/10.1109/IPDPS.2016.51.
ieee: S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide,
“Gathering a Closed Chain of Robots on a Grid,” in Proceedings of the 30th
International Parallel and Distributed Processing Symposium (IPDPS), 2016,
pp. 689–699.
mla: Abshoff, Sebastian, et al. “Gathering a Closed Chain of Robots on a Grid.”
Proceedings of the 30th International Parallel and Distributed Processing Symposium
(IPDPS), IEEE, 2016, pp. 689–99, doi:10.1109/IPDPS.2016.51.
short: 'S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide,
in: Proceedings of the 30th International Parallel and Distributed Processing
Symposium (IPDPS), IEEE, 2016, pp. 689–699.'
date_created: 2020-04-01T12:56:43Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: 10.1109/IPDPS.2016.51
language:
- iso: eng
page: 689-699
publication: Proceedings of the 30th International Parallel and Distributed Processing
Symposium (IPDPS)
publisher: IEEE
status: public
title: Gathering a Closed Chain of Robots on a Grid
type: conference
user_id: '15415'
year: '2016'
...