A heuristic dynamic-programming algorithm for 2D unconstrained guillotine cutting
A heuristic dynamic-programming algorithm for 2D unconstrained guillotine cutting
In this paper, a heuristic dynamic-programming recursion is proposed for solving unconstrained 2D knapsack problem efficiently. The algorithm we propose is an incompletely enumerative method, in which some intricate cutting patterns may not be enumerated. Compared with the traditional dynamic-programming, the algorithm gives a high percentage of optimal solutions (93%) with a much lowered computational complexity. Some theoretical analyses for the algorithm are performed. Computational results are given for small and medium-sized problems.
Song, Xiang
28fc03d0-9077-49f5-bc94-a4f92fa76565
Chu, Chengbin
bc06adcc-0c98-4ce1-a39e-d2c63e7d7cbb
Nie, Yiyong
1d23f805-af0c-4525-b15b-f9e1f097a9ac
2004
Song, Xiang
28fc03d0-9077-49f5-bc94-a4f92fa76565
Chu, Chengbin
bc06adcc-0c98-4ce1-a39e-d2c63e7d7cbb
Nie, Yiyong
1d23f805-af0c-4525-b15b-f9e1f097a9ac
Song, Xiang, Chu, Chengbin and Nie, Yiyong
(2004)
A heuristic dynamic-programming algorithm for 2D unconstrained guillotine cutting.
Proceedings of the IADIS International Conference on Applied Computing, Lisbon, Portugal, 23-26 March 2004.
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Abstract
In this paper, a heuristic dynamic-programming recursion is proposed for solving unconstrained 2D knapsack problem efficiently. The algorithm we propose is an incompletely enumerative method, in which some intricate cutting patterns may not be enumerated. Compared with the traditional dynamic-programming, the algorithm gives a high percentage of optimal solutions (93%) with a much lowered computational complexity. Some theoretical analyses for the algorithm are performed. Computational results are given for small and medium-sized problems.
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Published date: 2004
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Proceedings of the IADIS International Conference on Applied Computing, Lisbon, Portugal, 23-26 March 2004, 2004-01-01
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Local EPrints ID: 36727
URI: http://eprints.soton.ac.uk/id/eprint/36727
PURE UUID: 00c9234b-231e-4752-ba34-e8e49010e08c
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Date deposited: 07 Jun 2006
Last modified: 11 Dec 2021 15:33
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Contributors
Author:
Xiang Song
Author:
Chengbin Chu
Author:
Yiyong Nie
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