• 论文 •    

孔群加工路径规划问题的进化求解

肖人彬,陶振武   

  1. 1.华中科技大学 管理学院,湖北武汉430074; 2.华中科技大学 CAD中心,湖北武汉430074
  • 出版日期:2005-05-15 发布日期:2005-05-25

Solution to holes machining path planning by evolutionary methods

XIAO Ren-bin, TAO Zhen-wu   

  1. 1.Sch. of Management, Huazhong Univ. of S&T, Wuhan430074,China;2.CAD Cent., Huazhong Univ. of S & T, Wuhan430074, China
  • Online:2005-05-15 Published:2005-05-25

摘要: 孔群加工路径规划对于提高多孔类零件的加工效率和质量具有重要意义。建立了两个孔群加工路径规划问题的数学模型,分别归纳为单目标和多目标组合优化问题,并引入进化蚁群系统算法和人工免疫算法求解单目标组合优化问题。这两种算法均能有效防止解空间的“组合爆炸”问题,计算复杂度的阶次低于Hopfield神经网络算法,且性能优于Hopfield算法。采用多目标解的快速排序技术分别对进化蚁群系统算法和人工免疫算法加以改进,开发出多目标进化蚁群系统算法和多目标人工免疫算法。分析表明,改进算法不增加原算法的计算复杂度,能直接用于求解多目标组合优化问题而无需事先给出目标权值向量,并能一次运行求得问题的多个Pareto最优解。

关键词: 孔群加工路径规划, 多目标优化, 组合优化, 蚁群优化, 人工免疫系统

Abstract: Holes Machining Path Planning is significant to improve the machining efficiency and quality of multi-hole parts. Two mathematical models of Holes Machining Path Planning problems were constructed, which could be induced to single objective and multi-objective combinatorial optimization problems respectively. Two novel evolutionary algorithms, Evolutionary Ant Colony System algorithm and Artificial Immune algorithm, were introduced to solve the single objective combinatorial optimization problems. Analysis indicated that these two algorithms could resist the combinatorial explosion in solution space effectively and had lower computational complexity and higher performance compared with the Hopfield algorithm. By improving the Evolutionary Ant Colony System algorithm and Artificial Immune algorithm with the Technique of Fast Solution Sorting, the Multi-objective Evolutionary Ant Colony System algorithm and Multi-objective Artificial Immune algorithm were proposed. Analysis indicated that the improved algorithms had not increased the computational complexity of the original algorithms and had resolved the multi-objective optimization problem directly without fixing the objective weight vector in advance. In additioiin, it had obtained several Pareto solutions in one run.

Key words: holes machining path planning, multi-objective optimization, combinatorial optimization, ant colony optimization, artificial immune system

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