DSVSS T2控制图经济设计模型
Economic Design Optimization of DSVSS T2 Control Chart
DOI: 10.12677/AAM.2021.106228, PDF,   
作者: 陈 鹏, 张 斌*, 陈 秀：南京信息工程大学数学与统计学院，江苏 南京
关键词: 双抽样；可变样本容量；马尔可夫链；经济优化；Double Sampling； Variable Sampling Interval； Markov Chain； Economic Design
摘要: 本文针对多元正态总体均值向量偏移问题，将双抽样策略与可变样本容量控制图相结合，构建了双抽样可变样本容量T2控制图(DSVSS T2图)。根据过程的实际运行状态，构建了马尔可夫链转移概率矩阵。综合考虑过程正常和异常两种状态下的运行成本、误报警损失、抽样成本及维修费用，结合Lorenzen-Vance经济模型，提出DSVSS T2控制图的经济设计模型并分析了均值向量变化对决策变量的影响。
Abstract: Aiming at the problem of mean vector shift of multivariate normal population, this paper combines double sampling strategy with variable sample size control chart, and constructs double sampling variable sample size control chart (DSVSS T2 chart). According to the actual running state of the process, the Markov chain transition probability matrix is constructed. Considering the operation cost, false alarm loss, sampling cost and maintenance cost of normal and abnormal process, based on Lorenzen-Vance economic model, an economic design model of DSVSS T2 control chart is proposed, and the influence of mean vector change on decision variables is analyzed.
文章引用：陈鹏, 张斌, 陈秀. DSVSS T2控制图经济设计模型[J]. 应用数学进展, 2021, 10(6): 2186-2193. https://doi.org/10.12677/AAM.2021.106228

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