基于预防维修和质量损失函数的VSI EWMA控制图经济设计

doi:10.12005/orms.2020.0041

运筹与管理 ›› 2020, Vol. 29 ›› Issue (2): 116-128.DOI: 10.12005/orms.2020.0041

基于预防维修和质量损失函数的VSI EWMA控制图经济设计

薛丽^1,2

1. 郑州航空工业管理学院信息管理学院,河南郑州 450046;
2. 天津大学管理与经济学部,天津 300072摘要:为了提高过程监控效率的同时降低过程控制成本,研究可变抽样区间VSI指数加权移动平均EWMA

收稿日期:2018-02-02 出版日期:2020-02-25
作者简介:薛丽(1981-), 女, 河南项城人, 副教授, 硕士生导师, 博士, 研究方向:质量工程。
基金资助:
国家自然科学基金资助项目(71701188,U1204702,71661147003,71672209,71871204,U1604262);航空科学基金资助项目(2016ZG55021);中国博士后科学基金资助项目(2016M601266);河南省高等学校青年骨干教师资助计划项目(2016GGJS-112);河南省高校科技创新人才支持计划(19HASTIT032);河南省科技攻关计划(172102210517)

Economic Design of EWMA Control Charts with Variable Sampling Intervals under Preventive Maintenance and Quality Loss Functions

XUE Li^1,2

1. School of Information Management, Zhengzhou University of Aeronautics, Zhengzhou, 450046, China;
2. College of Management and Economics, Tianjin University, Tainjin, 300072, China

Received:2018-02-02 Online:2020-02-25

摘要/Abstract

摘要： 为了提高过程监控效率的同时降低过程控制成本,研究可变抽样区间(VSI)指数加权移动平均(EWMA)控制图的经济设计问题。首先建立基于预防维修和质量损失函数的VSI EWMA控制图联合经济模型;使单位时间的损失成本函数最小来确定参数的最优值;其次用遗传算法来寻找联合经济模型的最优解,并给出一个算例。最后对VSI EWMA控制图联合经济模型进行灵敏度分析,得出控制图模型参数对设计参数的影响关系。

关键词: 可变抽样区间, 指数加权移动平均(EWMA)控制图, 经济设计, 质量损失函数, 预防维修

Abstract: To improve the monitoring efficiency while reducing costs for process control, economic design of exponential weighted moving average(EWMA)control chart with variable sampling intervals(VSI)under preventive maintenance and quality loss functions is discussed in this paper. Firstly, the integrated economic model for combining the preventive maintenance and the economic design of VSI EWMA control chart using quality loss functions is developed. Further, the optimal values of the parameters will be determined such that the expected loss function of unit time in an average cycle process is minimized. Secondly, a calculation example is provided and the genetic algorithms will be used to search for the optimal values of the parameters of the VSI EWMA control chart. Finally, the sensitivity analysis ofthis proposed model is done to find the influence relationship between the model parameters and the design parameters.

Key words: variable sampling intervals, exponential weighted moving average(EWMA)control chart, economic design, preventive maintenance, quality loss functions

中图分类号:

O213.1

薛丽. 基于预防维修和质量损失函数的VSI EWMA控制图经济设计[J]. 运筹与管理, 2020, 29(2): 116-128.

XUE Li. Economic Design of EWMA Control Charts with Variable Sampling Intervals under Preventive Maintenance and Quality Loss Functions[J]. Operations Research and Management Science, 2020, 29(2): 116-128.

参考文献

[1] Cassady C R, Bowden R O, Liew L. Combining preventive maintenance and statistical process control: a preliminary investigation[J]. IIE Transactions,2000, 32(6): 471-478.
[2] Roberts S W. A comparison of some control chart procedures[J]. Technometrics, 1966, 8: 411-430.
[3] Saccueei M S, Amin R W, Lueas J M. EWMA control schemes with variable sampling intervals[J]. Communicaticms in Statistics, 1992, 21: 627-657.
[4] 吉明明,赵选民,唐伟广.可变抽样区间的非正态EWMA均值控制图[J].系统工程,2006,24(11):114-119.
[5] 薛丽.监控均值标准差的可变抽样区间EWMA 图经济设计[J].计算机集成制造系统,2013,19(6):1369-1376.
[6] 薛丽.可变抽样区间几何EWMA 控制图的经济设计[J].运筹与管理,2013,22(4):126-132.
[7] 薛丽.可变抽样区间二项EWMA控制图[J].数理统计与管理,2016,35(6):1038-1044.
[8] Chou C Y, Chen C H, Liu H R. Economic design of EWMA charts with variable sampling intervals[J]. Quality & Quantity, 2006, 40:879-896.
[9] Lorenzen T J, Vance L C. The economic design of control charts: a unified approach[J]. Technometrics, 1986, 28: 3-10.
[10] McKone K E, Weiss E N. TPM: planned and autonomous maintenance: bridging the gap between practice and research[J]. Production and Operations Management,1998, 7(4): 335-351.
[11] Yeung T G, Cassady C R, Schneider K. Simultaneous optimization of X-bar control chart and age-based preventive maintenance policies under an economic objective[J]. IIE Transactions,2008, 40(2): 147-159.
[12] 张斌,周伟灿,杨洲木.非正态总体控制图和预防维修策略耦合优化的研究[J].数理统计与管理,2012,31(5):857-862.
[13] Liu L, Yu M, Ma Y. Economic and economic-statistical designs of a control chart for two-unit series systems with condition-based maintenance[J]. European Journal of Operational Research, 2013, 226(3): 491-499.
[14] Xiang Y. Joint optimization of control chart and preventive maintenance policies: a discrete-time Markov chain approach[J]. European Journal of Operational Research, 2013, 229(2): 382-390.

基于预防维修和质量损失函数的VSI EWMA控制图经济设计

Economic Design of EWMA Control Charts with Variable Sampling Intervals under Preventive Maintenance and Quality Loss Functions

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 6

编辑推荐

Metrics

[1]	高俏俏. 有两种故障状态的两部件串联系统的预防维修策略[J]. 运筹与管理, 2021, 30(3): 117-122.
[2]	薛丽. 可变抽样区间的多变量自相关过程VAR控制图[J]. 运筹与管理, 2020, 29(12): 1-7.
[3]	刘勤明, 叶春明, 吕文元. 考虑中间库存缓冲区的多目标设备不完美预防维修策略研究[J]. 运筹与管理, 2020, 29(10): 126-131.
[4]	薛丽. 具有可变抽样区间的非正态累积和控制图[J]. 运筹与管理, 2016, 25(3): 94-98.
[5]	蒲国利, 苏秦. 考虑服务特性的复杂产品质量容差设计研究[J]. 运筹与管理, 2014, 23(1): 209-217.
[6]	薛丽. 可变抽样区间几何EWMA控制图的经济设计[J]. 运筹与管理, 2013, 22(4): 126-132.