摘要
研究基于各类计算非正态条件下过程能力指数方法的有效性,采用蒙特卡洛方法,通过建立各方法的仿真模型,模拟仿真并比较各方法的性能优劣.仿真结果显示,Johnson转换法较Box-Cox转换法具有更加广泛的适用范围,并在绝大多数参数取值范围内具有优越性.偏态过程能力指数Cs由于不受数据分布类型的影响,在实际生产中具有较高的应用范围.最后利用研究对焊机关键质量特性进行实证分析,并验证了方法的有效性与可行性.
This study is based on all kinds of calculation under the condition of non-normalprocess capability index method and verify its validity. Research using the monte carlo methodto establish the method of simulation model, and simulation and compare the performance ofthe method . Simulation results show that, Johnson transformation method than the Box -Cox conversion method has a wider scope of application, and within the scope of the parameterselection of most has the superiority. Johnson transformation method has superiority in withinthe scope of the parameter selection of most. Process capability index skewness Cs not affectedby the type of data distribution, has higher application in practical production. Finally theempirical research of electric welding machine key quality characteristics are analyzed. Theresults verify the feasibility and effectiveness of the method.
出处
《数学的实践与认识》
北大核心
2017年第11期84-92,共9页
Mathematics in Practice and Theory
基金
教育部哲学社会科学研究重大课题攻关项目(16JZD014)
天津市哲学社会科学规划项目(TJGLWT15-006)
天津科技大学青年教师创新基金(2014CXLG17)
天津市轻工与食品工程机械装备集成设计与在线监控重点实验室资助项目
关键词
非正态条件
蒙特卡洛方法
仿真模型
过程能力指数
Non-normal conditions
monte carlo method
simulation model
Process capa-bility indices
