| 基于质量损失和预防维修VSI二项EWMA 图经济设计 |
| Economic Design of VSI EWMA Charts under Binomial Distribution Based on Quality Loss Functions and Preventive Maintenance |
| 摘要点击 537 全文点击 0 投稿时间：2018-12-14 修订日期：2019-11-09 |
| 查看/发表评论 下载PDF阅读器 |
| 中文关键词 VSI EWMA 控制图; 经济设计; 质量损失函数;预防维修 |
| 英文关键词 VSI EWMA control chart; economic design; quality loss functions; preventive maintenance |
| 基金项目 国家自然科学基金资助项目 (71701188; U1204702; 71661147003; 71672209; 71871204); 河南省高等学校青年骨干教师资助计划项目 (2016GGJS-112); 航空科学基金项目 (2016ZG55021); 中国博士后科学基金 (2016M601266); 河南省高校科技创新人才支持计划 (19HASTIT032). |
| 作者 | 单位 | 邮编 | | 薛丽 | 郑州航空工业管理学院 | 450046 | | 何桢 | 天津大学 | |
|
| 中文摘要 |
| 传统的np控制图基于二项分布建立, 主要监控生产过程中产品不合格品数. 为了降低过程控制成本, 同时提高监控不合格品数的效率, 研究二项分布下可变抽样区间(VSI)指数加权移动平均(EWMA)控制图的经济设计问题. 首先基于质量损失函数和预防维修策略, 构建VSI二项EWMA控制图的联合经济模型; 其次以期望损失函数最小为目标, 运用遗传算法确定控制图设计参数的最优值; 然后对所建立的联合经济模型进行灵敏度分析, 得出期望损失函数随着单元抽样费用、过程波动和产品不合格时的损失的增大而增大.最后通过最优性分析得出: 基于联合经济模型设计的VSI二项EWMA控制图具有较小的单位时间期望损失成本,优于统计方法设计的VSI 二项EWMA 控制图. |
| 英文摘要 |
| The traditional np control chart which mainly monitoring the products unqualified number of production process was established on the binomial distribution. To reduce the costs for process control and improve the efficiency of monitoring unqualified products, the economic design of exponential weighted moving average (EWMA) control chart with variable sampling intervals (VSI) for monitoring binomial distribution was discussed in this paper. Firstly, the integrated economic model of VSI EWMA control chart based on the quality loss function and preventive maintenance was developed.Secondly, the optimal values of the parameters were determined such that the expected loss function was minimized, and the genetic algorithms were used to search for the optimal values of the parameters.Further, sensitivity analysis was presented to illustrate the model, and the result shows that the fixed cost per sample,process shift and loss caused by nonconforming product significantly and positively affect the expected loss function. Finally, through comparative study, it is concluded that the VSI EWMA control chart designed by the joint economic decision model has less expected loss, which is superior to VSI EWMA control chart designed by the traditional method. |
| 关闭 |
