Nonparametric control charts have received increasing attention in process monitoring. In this article, a new nonparametric sign (SN) control chart with variable sample size (VSS) for a finite horizon process is developed. The novelty of this research lies in the incorporation of the VSS technique into the nonparametric SN chart for a finite horizon process, hence, resulting in the development of a more sensitive nonparametric short run chart. The statistical performance of the new nonparametric VSS SN control chart is evaluated and compared with the existing fixed sample size (FSS) SN chart for a finite horizon process. The charts' performances are compared using the truncated average run length (TARL) and truncated standard deviation of the run length (TSDRL) criteria. The results obtained show that the nonparametric VSS SN short run chart is always quicker than the FSS SN short run chart in detecting process shifts for various underlying process distributions, hence, reducing scrap and rework cost. Finally, an application of the proposed control charting scheme is shown through a real‐life example on the fill volume of soft drink beverage bottles.

中文翻译：

---

用于有限生产范围的新的无分布自适应样本量控制图及其在监控软饮料瓶装满量中的应用

非参数控制图在过程监控中越来越受到关注。在本文中，为有限水平过程开发了一个新的具有可变样本大小（VSS）的非参数符号（SN）控制图。这项研究的新颖之处在于将VSS技术结合到用于有限水平过程的非参数SN图表中，从而导致开发出更加敏感的非参数短期图表。评估新的非参数VSS SN控制图的统计性能，并将其与现有的固定样本量（FSS）SN图进行有限水平过程比较。使用截断的平均游程长度（TARL）和游标的游标长度标准差（TSDRL）来比较图表的性能。获得的结果表明，在检测各种基础过程分布的过程偏移时，非参数VSS SN短期图总是比FSS SN短期图更快，因此减少了报废和返工成本。最后，通过一个关于饮料瓶填充量的真实示例展示了所建议的控制图表方案的应用。