计算机集成制造系统 ›› 2020, Vol. 26 ›› Issue (11): 3020-3030.DOI: 10.13196/j.cims.2020.11.012

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基于非合作博弈的车削用量优化选择

李崇洋1,吴紫涧1+,甘屹1,杨丽红1,曹衍龙2,杨将新2   

  1. 1.上海理工大学机械工程学院
    2.浙江大学机械工程学院
  • 出版日期:2020-11-30 发布日期:2020-11-30
  • 基金资助:
    国家自然科学基金创新团队资助项目(51521064);国家自然科学基金联合资助项目(U1501248);国家自然科学基金资助项目(51375314);上海市扬帆计划资助项目(18YF1418100);浙江省自然科学基金资助项目(LQ18E050011)。

Turning parameters optimization selection method based on non-cooperative game analysis

  • Online:2020-11-30 Published:2020-11-30
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.51521064,U1501248,51375314),the Shanghai Municipal Sailing Program,China (No.18YF1418100),and the Natural Science Foundation of Zhejiang Province,China (No.LQ18E050011).

摘要: 为合理选择车削加工的切削用量以提高生产效率和降低加工功耗,提出一种基于博弈理论的车削用量优化方法。该算法针对实际加工中车削用量的优化选择问题,以生产效率最高和加工功率损耗最低为优化目标,利用博弈理论调和与解决系统冲突的特点,将车削用量多目标优化问题转化为博弈决策问题;通过建立博弈决策者、收益函数和各博弈方的策略归属分类,将效率与功耗的多目标优化数学模型转化为相应的非合作博弈决策模型,并给出基于该模型的Nash均衡策略求解算法,使车削用量的选取方法更加优化。通过具体实例进行优化分析,并与遗传算法和线性加权和法的计算结果进行比较,验证了所建博弈优化模型的有效性。

关键词: 车削用量, 效率与功耗, 非合作博弈, Nash均衡

Abstract: The right choice of cutting parameter is the key to improve production efficiency and reduce power consumption.To select the cutting parameter of turning machining rightly,a turning parameter optimization method based on game theory was proposed.Aiming at the problem of turning parameters optimization selection,the highest production efficiency and the lowest power consumption was taken as the optimization goal by using the features of game theory and conflict solution,and the multi-objective optimization problems of turning parameter selection were transformed into the decision based on game theory problem.The multi-objective optimization mathematical model of efficiency and power consumption was transformed into the corresponding non-cooperative game decision-making model through establishing the players,payoff function and classifying the strategies,and the algorithm for solving Nash equilibrium strategy based on the model was given,which had selected a better combination of turning parameters.The effectiveness of the established game optimization model was verified by optimization analysis of an example and comparison with genetic algorithm and the linear weighted sum method.

Key words: turning parameters, efficiency and power consumption, non-cooperative game, Nash equilibrium

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