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CLC number: TP391.72

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Received: 2005-10-20

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.4 P.570-576

http://doi.org/10.1631/jzus.2006.A0570


Algorithm for 2D irregular-shaped nesting problem based on the NFP algorithm and lowest-gravity-center principle


Author(s):  Liu Hu-yao, He Yuan-jun

Affiliation(s):  Department of Computer Science and Technology, Shanghai Jiao Tong University, Shanghai 200030, China

Corresponding email(s):   liuhuyao@sjtu.edu.cn

Key Words:  Nesting, Cutting stock, No Fit Polygon (NFP), Genetic algorithm (GA), Lowest gravity center


Liu Hu-yao, He Yuan-jun. Algorithm for 2D irregular-shaped nesting problem based on the NFP algorithm and lowest-gravity-center principle[J]. Journal of Zhejiang University Science A, 2006, 7(4): 570-576.

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Abstract: 
The nesting problem involves arranging pieces on a plate to maximize use of material. A new scheme for 2D irregular-shaped nesting problem is proposed. The new scheme is based on the NFP (No Fit Polygon) algorithm and a new placement principle for pieces. The novel placement principle is to place a piece to the position with lowest gravity center based on NFP. In addition, genetic algorithm (GA) is adopted to find an efficient nesting sequence. The proposed scheme can deal with pieces with arbitrary rotation and containing region with holes, and achieves competitive results in experiment on benchmark datasets.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[9] Hopper, E., Turton, B.C.H., 2001. A review of the application of meta-heuristic algorithms to 2D strip nesting problems. Artificial Intelligence Review, 16(4):257-300.

[10] Jakobs, S., 1996. On genetic algorithms for the nesting of polygons. European Journal of Operational Research, 88(1):165-181.

[11] Tay, F.E.H., Chong, T.Y., Lee, F.C., 2002. Pattern nesting on irregular-shaped stock using genetic algorithms. Engineering Applications of Artificial Intelligence, 15(6):551-558.

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