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冲裁件有约束最优剪切方式的设计 被引量:4

A Cutting method for generating optimal unconstrained cutting patterns for punch strips of a single type
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摘要 本文讨论冲裁件有约束最优剪切方式的设计问题 .阐明最优剪切排样方式的规范结构 ;采用分支定界法求解冲裁件无约束排样问题 ;将有约束排样问题转换为求解一系列的无约束排样问题 ,并通过对解的性质分析提高算法效率 .实验计算结果说明本文算法十分有效 .最后给出一例题的最优排样方式 . This paper deals with the problem of generating optimal constrained cutting patterns for punch strips of a single type. The normal structure of the optimal layout is described. A branch and bound approach is used to find the optimal unconstrained layout. The optimal constrained layout is obtained through the solutions to a number of constrained layouts. We use the property of the optimal layout to facilitate the solution process. The computational results show that the algorithm is extremely efficient. The optimal solution to an example is given.
出处 《数学的实践与认识》 CSCD 北大核心 2001年第2期177-184,共8页 Mathematics in Practice and Theory
关键词 薄钢板 两维切割 切割下料 最优剪切方式 排样问题 冲裁件 steel sheet two\|dimensional cutting cutting stock optimization
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同被引文献22

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  • 7Cheng C H,Feriring B R etc.Cutting stock problem-a survey.International Journal of Production Economics Research,1995,84:494-498.
  • 8Birgin E G, Lobato R D, Morabito R. An effectiverecursive partitioning approach for the packing of identical rectangles in a rectangle [J]. Journal of the Operational Research Society, 2010, 61(2): 306-320.
  • 9Scheithauer G, Terno J. The G4-heuristic for the pallet loading problem [J]. Journal of the Operational Research Society, 1996, 47(4): 511-522.
  • 10Wscher G, HauBner H, Schumann H. An improved typology of cutting and packing problems [J]. European Journal of Operational Research, 2007, 183(3): 1109-1130.

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