期刊文献+

同尺寸矩形毛坯排样算法 被引量:7

Algorithm for Generating Cutting Patterns of Equal Rectangular Items
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摘要 讨论了同尺寸矩形毛坯二维剪切排样问题,切割刀数对减少剪切下料工作量有重要作用。文章提出了一种动态规划算法,在保证板材所含毛坯数最大的前提下,实现切割刀数最小化。实验结果表明上述算法可以简化切割工艺。 Focusing on the two-dimensional cutting of equal rectangular items,the number of cuts for reducing the cutting process is important.This paper presents a recursive algorithm to reduce the number of cuts,without changing the number of items in the cutting pattern.The computational results indicate that the algorithm can simplify the cutting process.
出处 《桂林理工大学学报》 CAS 北大核心 2012年第4期628-630,共3页 Journal of Guilin University of Technology
基金 国家自然科学基金项目(61063031)
关键词 同尺寸矩形毛坯 二维剪切 动态规划 equal rectangular items two-dimensional cutting dynamic programming
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参考文献7

  • 1崔耀东.计算机排样技术及其应用[M]北京:机械工业出版社,2004.
  • 2Cui Y D. A computational improvement to the dynamic programming algorithm for the optimal cutting of equal rectangles[J].International Journal of Information and Management Sciences,2009,(03):453-458.
  • 3黄玲,崔耀东.矩形毛坯匀质条带排样方式及其生成算法[J].桂林理工大学学报,2010,30(2):292-295. 被引量:5
  • 4Agrawal P K. Minimizing trim loss in cutting rectangular blanks of a single size form a rectangular sheet using orthogonal guillotine cuts[J].European Journal of Operational Research,1993.410-422.
  • 5Arslanov M Z. Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles[J].European Journal of Operational Research,2000.239-248.
  • 6孙英,崔耀东.简化同尺寸矩形毛坯排样方式的动态规划算法[J].计算机应用与软件,2008,25(12):91-92. 被引量:4
  • 7何冬黎,许道云,崔耀东.基于递归的同尺寸矩形最优剪切排样算法[J].广西师范大学学报(自然科学版),2008,26(2):102-105. 被引量:3

二级参考文献21

  • 1廖元秀,崔耀东.对Agrawal单一矩形排样算法的改进与扩展[J].广西师范大学学报(自然科学版),2004,22(3):49-53. 被引量:6
  • 2崔耀东.生成矩形毛坯最优T形排样方式的递归算法[J].计算机辅助设计与图形学学报,2006,18(1):125-127. 被引量:22
  • 3Agrawal P K. Minimizing trim loss in cutting rectangular blanks of a single size form a rectangular sheet using orthogonal guillotine cuts [ J]. European Journal of Operational Research, 1993,64:410 - 422.
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  • 5Arslanov M Z. Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles [J]. European Journal of Operational Research ,2000,125:239 - 248.
  • 6Cui Y, Zhou R. Generating optimal cutting patterns for rectangular blanks of a single size[ J]. Journal of the Operational Research Society ,2002,53 : 1338 - 1346.
  • 7Cui Y. Dynamic programming algorithms for the optimal cutting of equal rectangles[ J]. Applied Mathematic Modelling ,2005,29 : 1040 - 1053.
  • 8CUNG V D,HIFI M,CUN B L. Constrained two-dimensional cutting stock problems a best-first branch-and-bound algorithm[J]. International Transactions in Operational Research, 2000,7 (3) : 185-210.
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  • 10CUI Yao-dong. Generating optimal T-shape cutting patterns for rectangular blanks[J]. Proceedings of the Institution of Mechanical Engineers, Part B:Journal of Engineering Manufacture, 2004,218 (8) : 857-866.

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