IEICE TRANSACTIONS on Fundamentals
The 3D-Packing by Meta Data Structure and Packing Heuristics
Summary :
The three dimensional (3D) packing problem is to arrange given rectangular boxes in a rectangular box of the minimum volume without overlapping each other. As an approach, this paper introduces the system of three sequences of the box labels, the sequence-triple, to encode the topology of the 3D-packing. The topology is the system of relative relations in pairs of boxes such as right-of, above, front-of, etc. It will be proved that the sequence-triple represents the topology of the tractable 3D-packings which is a 3D-packing such that there is an order of the boxes along which all the boxes are extracted one by one in a certain fixed direction without disturbing other remaining boxes. The idea is extended to the system of five ordered sequences, the sequence-quintuple. A decoding rule is given by which any 3D-packing is represented. These coding systems are applied to design heuristic algorithms by simulated annealing which search the codes for better 3D-packings. Experimental results were very convincing its usefulness as automated packing algorithms.
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- IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.4 pp.639-645
- Publication Date
- 2000/04/25
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- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
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Hiroyuki YAMAZAKI, Keishi SAKANUSHI, Shigetoshi NAKATAKE, Yoji KAJITANI, "The 3D-Packing by Meta Data Structure and Packing Heuristics" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 4, pp. 639-645, April 2000, doi: .
Abstract: The three dimensional (3D) packing problem is to arrange given rectangular boxes in a rectangular box of the minimum volume without overlapping each other. As an approach, this paper introduces the system of three sequences of the box labels, the sequence-triple, to encode the topology of the 3D-packing. The topology is the system of relative relations in pairs of boxes such as right-of, above, front-of, etc. It will be proved that the sequence-triple represents the topology of the tractable 3D-packings which is a 3D-packing such that there is an order of the boxes along which all the boxes are extracted one by one in a certain fixed direction without disturbing other remaining boxes. The idea is extended to the system of five ordered sequences, the sequence-quintuple. A decoding rule is given by which any 3D-packing is represented. These coding systems are applied to design heuristic algorithms by simulated annealing which search the codes for better 3D-packings. Experimental results were very convincing its usefulness as automated packing algorithms.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_4_639/_p
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@ARTICLE{e83-a_4_639,
author={Hiroyuki YAMAZAKI, Keishi SAKANUSHI, Shigetoshi NAKATAKE, Yoji KAJITANI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The 3D-Packing by Meta Data Structure and Packing Heuristics},
year={2000},
volume={E83-A},
number={4},
pages={639-645},
abstract={The three dimensional (3D) packing problem is to arrange given rectangular boxes in a rectangular box of the minimum volume without overlapping each other. As an approach, this paper introduces the system of three sequences of the box labels, the sequence-triple, to encode the topology of the 3D-packing. The topology is the system of relative relations in pairs of boxes such as right-of, above, front-of, etc. It will be proved that the sequence-triple represents the topology of the tractable 3D-packings which is a 3D-packing such that there is an order of the boxes along which all the boxes are extracted one by one in a certain fixed direction without disturbing other remaining boxes. The idea is extended to the system of five ordered sequences, the sequence-quintuple. A decoding rule is given by which any 3D-packing is represented. These coding systems are applied to design heuristic algorithms by simulated annealing which search the codes for better 3D-packings. Experimental results were very convincing its usefulness as automated packing algorithms.},
keywords={},
doi={},
ISSN={},
month={April},}
Copy
TY - JOUR
TI - The 3D-Packing by Meta Data Structure and Packing Heuristics
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 639
EP - 645
AU - Hiroyuki YAMAZAKI
AU - Keishi SAKANUSHI
AU - Shigetoshi NAKATAKE
AU - Yoji KAJITANI
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2000
AB - The three dimensional (3D) packing problem is to arrange given rectangular boxes in a rectangular box of the minimum volume without overlapping each other. As an approach, this paper introduces the system of three sequences of the box labels, the sequence-triple, to encode the topology of the 3D-packing. The topology is the system of relative relations in pairs of boxes such as right-of, above, front-of, etc. It will be proved that the sequence-triple represents the topology of the tractable 3D-packings which is a 3D-packing such that there is an order of the boxes along which all the boxes are extracted one by one in a certain fixed direction without disturbing other remaining boxes. The idea is extended to the system of five ordered sequences, the sequence-quintuple. A decoding rule is given by which any 3D-packing is represented. These coding systems are applied to design heuristic algorithms by simulated annealing which search the codes for better 3D-packings. Experimental results were very convincing its usefulness as automated packing algorithms.
ER -
English
