On-line packing regular boxes in the unit cube
Archivum Mathematicum (1999)
- Volume: 035, Issue: 2, page 97-101
- ISSN: 0044-8753
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Abstract
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topJanuszewski, Janusz. "On-line packing regular boxes in the unit cube." Archivum Mathematicum 035.2 (1999): 97-101. <http://eudml.org/doc/248366>.
@article{Januszewski1999,
abstract = {We describe a class of boxes such that every sequence of boxes from this class of total volume smaller than or equal to 1 can be on-line packed in the unit cube.},
author = {Januszewski, Janusz},
journal = {Archivum Mathematicum},
keywords = {packing; on-line packing; box; packing; on-line packing; box},
language = {eng},
number = {2},
pages = {97-101},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On-line packing regular boxes in the unit cube},
url = {http://eudml.org/doc/248366},
volume = {035},
year = {1999},
}
TY - JOUR
AU - Januszewski, Janusz
TI - On-line packing regular boxes in the unit cube
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 2
SP - 97
EP - 101
AB - We describe a class of boxes such that every sequence of boxes from this class of total volume smaller than or equal to 1 can be on-line packed in the unit cube.
LA - eng
KW - packing; on-line packing; box; packing; on-line packing; box
UR - http://eudml.org/doc/248366
ER -
References
top- Covering and packing by sequences of convex sets, Discrete Geometry and Convexity, Annals of the New York Academy of Science 440 (1985), 262-278. MR0809212
- On-line -adic covering by the method of the -th segment and its application to on-line covering by cubes, Beitr. Alg. Geom. 37 (1996) No. 1, 51-56. MR1407805
- Problem 74: Ein Intervallüberdeckungsspiel, Math. Semesterber. 41 (1994), 207-210.
- On-line packing sequences of segments, cubes and boxes, Beitr. Alg. Geom. 38 (1997), 377–384. Zbl0889.52025MR1473115
- A survey of algorithms for on-line packing and covering by sequences of convex bodies, Bolyai Society Mathematical Studies 6 (1997), 129–157. Zbl0883.52014MR1470756
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