应用科学学报 ›› 2003, Vol. 21 ›› Issue (3): 221-224.

• 论文 •    下一篇

改进遗传算法及其在平面度误差评定中的应用

温秀兰1,2, 宋爱国1   

  1. 1 东南大学仪器科学系 江苏 南京 210096;
    2 内蒙古工业大学机械学院 内蒙古 呼和浩特 010062
  • 收稿日期:2002-06-26 修回日期:2002-11-01 出版日期:2003-09-10 发布日期:2003-09-10
  • 作者简介:温秀兰(1966-),女,内蒙古呼和浩特人,副教授,硕士;宋爱国(1969-),男,安徽黄山人,教授,博导.
  • 基金资助:
    国家自然科学基金(69875004);江苏省自然科学基金青年科技创新人才基金(BK2001402);东南大学-南瑞继保公司学位论文基金资助项目

The Application of Improved Genetic Algorithm Based on Real Coding in Flatness Error Evaluation

WEN Kiu-lan1,2, SONG Ai-guo1   

  1. 1 Department of Instrument Science, Southeast University, Nanjing 210096, China;
    2 Mechanical College, Inner Mongolia Polytechnic University, Huhot 010062, China
  • Received:2002-06-26 Revised:2002-11-01 Online:2003-09-10 Published:2003-09-10

摘要: 针对平面度误差评定的特点,提出了一种新颖的基于实数编码的改进遗传算法.该算法采用基于代沟最小的代选择模型,选用BLX-α混合交叉算子,算法简单、鲁棒性强,优化效率高.同时给出遗传算法评定平面度误差时目标函数数学模型的建立方法.最后,通过不同评价方法对同一平面的平面度误差进行评定,结果证明该方法不仅能收敛到全局最优解,而且具有较快的收敛速度.

关键词: 平面度误差, 遗传算法, 实数编码

Abstract: According to the characteristics of flatness error evaluation, a novel improved genetic algorithms based on real coding is proposed. A generation-alternation modei based on the minimal generation gap (MGP) and blend crossover operators (BLX-α) are employed. Compared with conventional methods, it has the advantages of simple algorithms, strong robustness and high op timization efficiency. In the meantime, the objective function calculation approach in flatness error evaluation by genetic algorithms is presented. Finally, the experiment results evaluated by differ-ent methods show that the improved genetic algorithm converges to the global optimum more rapidly than conventional methods.

Key words: genetic algorithm, reai coding, flatness error

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