计算机集成制造系统 ›› 2023, Vol. 29 ›› Issue (2): 593-603.DOI: 10.13196/j.cims.2023.02.020

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设计知识驱动的不规则多边形排样算法及应用

冯毅雄1,2,钟锐锐1,2,张志峰1,2+,黄城1,2,李中凯1,3,胡炳涛1,2,洪兆溪1,2,谭建荣1,2   

  1. 1.浙江大学流体动力与机电系统国家重点实验室
    2.浙江大学设计工程及数字孪生浙江省工程研究中心
    3.中国矿业大学机电工程学院
  • 出版日期:2023-02-28 发布日期:2023-03-04
  • 基金资助:
    浙江省重点研发计划资助项目(2023C01214);国家自然科学基金资助项目(52105281,52075479)。

Irregular polygons nesting algorithm driven by design knowledge and application

FENG Yixiong1,2,ZHONG Ruirui1,2,ZHANG Zhifeng1,2+,HUANG Cheng1,2,LI Zhongkai1,3,HU Bingtao1,2,HONG Zhaoxi1,2,TAN Jianrong1,2   

  1. 1.State Key Laboratory of Fluid Power & Mechatronic Systems,Zhejiang University
    2.Engineering Research Center for Design Engineering and Digital Twin of Zhejiang Province,Zhejiang University
    3.School of Mechatronics Engineering,China University of Mining and Technology
  • Online:2023-02-28 Published:2023-03-04
  • Supported by:
    Project supported by the Key Research and Development Program of Zhejiang Province,China (No.2023C01214),and the National Natural Science Foundation,China (No.52105281,52075479).

摘要: 为高效解决实际生产制造中的二维不规则多边形排样问题,提出一种设计知识驱动的启发式算法。利用临界多边形判定多边形之间的相对位置,并建立局部适应度数学模型用于衡量多边形的贴合程度;根据设计知识建立数学模型来评价多边形待摆放位置,利用基于局部搜索的贪心算法完成排样。通过对国际通用基准用例进行实验测试并与现有智能优化算法进行对比,证明了所提算法在排样质量与时间性能上不但具有一定优势,而且稳定性高。通过实际生产中样片数据的实验测试证明了所提算法的实用性。

关键词: 不规则排样问题, 临界多边形, 知识驱动, 启发式算法

Abstract: To efficiently solve the problem of two-dimensional irregular polygon packing in actual production,a heuristic algorithm driven by design knowledge was proposed.No Fit Polygon (NFP) was used to judge the relative positions between irregular polygons,and a mathematical model of local fitness was established to measure the fitting degree of irregular polygons.Then,a mathematical model driven by design knowledge was established to evaluate the position of irregular polygons to be placed.A greedy algorithm based on local search strategy was used to complete the packing.The experimental testing of international common benchmark cases and comparison with existing intelligent optimization algorithms proved that the proposed algorithm had certain advantages in layout quality and time performance with high stability.Besides,the experimental test of the sample data in actual production proved that the proposed algorithm had the value of being applied to actual production applications.

Key words: irregular packing problem, no fit polygon, knowledge-driven, heuristic algorithms

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