In this paper, the economic-statistical design of the variable parameters (VP) s chart is investigated, where all the design parameters of the s chart are allowed to vary between two values as a function of the most recent process information. The optimal design parameters of the VP s chart are derived based on the economic and statistical criteria. The economic-statistical design is performed by minimizing the cost function with the imposed in-control and out-of-control statistical constraints. The cost of the economic-statistical design is slightly higher than the economic design due to the imposed statistical constraints. The effect of cost and process parameters on the optimal design parameters, statistical performance and minimum expected cost is examined and discussed. The comparison results indicate that the cost of the VP s chart is lower than the variable sample size and sampling interval (VSS) s chart, the variable sampling interval (VSI) s chart, the variable sample size (VSS) s chart and the standard s chart.

在本文中，所述可变参数的经济统计的设计（VP）小号图表进行了研究，其中所述的所有设计参数小号图表被允许作为最近的处理信息的功能的两个值之间变化。VP的最佳设计参数图表是根据经济和统计标准得出的。经济统计设计是通过将成本函数最小化而施加的控制内和控制外统计约束条件来执行的。由于强加了统计约束，经济统计设计的成本略高于经济设计。研究和讨论了成本和过程参数对最佳设计参数，统计性能和最小预期成本的影响。比较结果表明，VP s图的成本低于可变样本大小和采样间隔（VSS）s图，可变采样间隔（VSI）s图，可变样本大小（VSS）s图和标准的图表。