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DOI: 10.4230/LIPIcs.STACS.2012.374
URN: urn:nbn:de:0030-drops-33900
URL: https://drops.dagstuhl.de/opus/volltexte/2012/3390/
Eggermont, Christian E.J. ; Woeginger, Gerhard J.
Motion planning with pulley, rope, and baskets
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Abstract
We study a motion planning problem where items have to be transported from the top room of a tower to the bottom of the tower, while simultaneously other items have to be transported into the opposite direction. Item sets are moved in two baskets hanging on a rope and pulley. To guarantee stability of the system, the weight difference between the contents of the two baskets must always stay below a given threshold. We prove that it is Pi-2-p-complete to decide whether some given initial situation of the underlying discrete system can lead to a given goal situation. Furthermore we identify several polynomially solvable special cases of this reachability problem, and we also settle the computational complexity of a number of related questions.
BibTeX - Entry
@InProceedings{eggermont_et_al:LIPIcs:2012:3390,
author = {Christian E.J. Eggermont and Gerhard J. Woeginger},
title = {{Motion planning with pulley, rope, and baskets}},
booktitle = {29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)},
pages = {374--383},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-35-4},
ISSN = {1868-8969},
year = {2012},
volume = {14},
editor = {Christoph D{\"u}rr and Thomas Wilke},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2012/3390},
URN = {urn:nbn:de:0030-drops-33900},
doi = {10.4230/LIPIcs.STACS.2012.374},
annote = {Keywords: planning and scheduling; computational complexity}
}
| Keywords: | planning and scheduling; computational complexity | |
| Seminar: | 29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012) | |
| Issue date: | 2012 | |
| Date of publication: | 24.02.2012 |
