郑辉, 刘春明, 王东菲. 复杂机电产品多元~FT VSI~贝叶斯控制图性能研究[J]. 应用概率统计, 2018, 34(6): 587-597. DOI: 10.3969/j.issn.1001-4268.2018.06.004
引用本文: 郑辉, 刘春明, 王东菲. 复杂机电产品多元~FT VSI~贝叶斯控制图性能研究[J]. 应用概率统计, 2018, 34(6): 587-597. DOI: 10.3969/j.issn.1001-4268.2018.06.004
ZHENG Hui, LIU Chunming, WANG Dongfei. Research on Performance of Multivariate FT VSI Bayesian Control Chart for Complex Electromechanical Products[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(6): 587-597. DOI: 10.3969/j.issn.1001-4268.2018.06.004
Citation: ZHENG Hui, LIU Chunming, WANG Dongfei. Research on Performance of Multivariate FT VSI Bayesian Control Chart for Complex Electromechanical Products[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(6): 587-597. DOI: 10.3969/j.issn.1001-4268.2018.06.004

复杂机电产品多元~FT VSI~贝叶斯控制图性能研究

Research on Performance of Multivariate FT VSI Bayesian Control Chart for Complex Electromechanical Products

  • 摘要: 针对复杂机电产品质量控制与预警困难的问题,构建一种将多元贝叶斯统计方法与经济性能分析相结合的多元贝叶斯控制图性能分析模型.在求解模型中, 多元贝叶斯控制图采用固定时间变抽样区间Fixed Time Variable Sample Interval, FT VSI策略, 若非随机故障小概率发生,则选择宽松抽样方案; 若非随机故障大概率发生, 则选择严抽样方案.为量化多元贝叶斯控制图经济性能与统计性能的相关度,利用蒙卡罗模拟分析的质量控制模型进行仿真, 并在不同经济性参数下,得到采样单位平均数Average Number of Observations to Signals or End of the production run, ANOSE对于控制图统计性能的影响程度,进而引出多元贝叶斯控制图的质量控制成本与其误报率的影响程度,并以某型号汽车自动变速器多元质量控制过程为例对多元FTVSI贝叶斯控制图性能评价与优化成果进行验证, 结果证明该方法具有较好的应用性.

     

    Abstract: Aiming at the complex mechanical and electrical products quality control and early warning problems, a performance analysis model of control chart, which combines the multivariate Bayesian statistical method with the economic performance analysis is constructed. In the solution model, a FT VSI strategy is used in the multivariate Bayesian control chart. If a small probability of random failure occurs, then a loose sampling scheme is selected. Otherwise, a strict sampling program is applied. To quantify the correlation between the economic and the statistical performance of the multivariate Bayesian control chart, a quality control model based on Monte Carlo simulation is used and the ANOSE (Average Number of Observations to Signals or End of the production run) is taken under different economic parameters, which performs the degree of influence of the statistical performance of the control chart. In addition, the relationship between the quality control cost and the false alarm rate of the multi-Bayesian control chart is explained. Finally, for instance, a multiple quality control process of the automatic transmission of the automobile is used to verify the performance evaluation and optimization of the multivariate FT VSI Bayesian control chart. The results show that the method has a better application.

     

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