The skip-lot sampling plan (SkSP) is employed in supply chains to decrease the amount of inspection required for submitted lots when they have demonstrated a succession of lots with excellent quality. As only some fractions of lots are examined, the cost of inspection is reduced. With the current abundance of high-yield products, however, the majority of SkSP schemes have been utilized for attributes testing, which does not fully reveal the SkSP’s economic advantages. Thus, on the basis of the process capability index C_pk, the variables SkSP with single sampling as a reference plan (C_pk-SkSP-2) was developed. With management of the lot’s quality and tolerable risks agreeable to both the supplier and the buyer, the C_pk-SkSP-2 were incorporated with acceptance probabilities (rather than asymptotic approximations), which yielded the exact sampling distribution of the C_pk estimator at the specified quality standards. Furthermore, the equilibrium probability for the acceptance of C_pk-SkSP-2 was derived from a Markov chain technique. These treatments enable minimization of the average number of samples required to render more reliable and optimal plan parameters for the inspection of products with a low fraction of defectives. The results are compared with the variables C_pk-based single sampling plans. Finally, a graphical user interface was built on the basis of our proposed C_pk-SkSP-2 procedures and methodologies to facilitate data input, plan selection, criteria computation, and decision-making in practice.

在供应链中采用了跳过批次抽样计划（SkSP），以减少已提交批次的质量证明合格的提交批次的检验数量。由于只检查了一部分批次，因此降低了检查成本。但是，由于当前存在大量的高收益产品，大多数SkSP方案已用于属性测试，这并不能完全揭示SkSP的经济优势。因此，基于过程能力指数C _pk，开发了以单次采样为参考计划的变量SkSP（C _pk -SkSP-2）。通过对批次质量的管理以及供需双方都可以接受的可承受风险，C _pk-SkSP-2结合了接受概率（而不是渐近近似），从而在指定的质量标准下得出了C _pk估计量的准确采样分布。此外，从马尔可夫链技术得出了接受C _pk -SkSP-2的平衡概率。这些处理可以最大程度地减少所需的平均样本数量，以提供更可靠和最佳的计划参数，以检查缺陷少的产品。将结果与基于变量C _pk的单一采样计划进行比较。最后，在我们建议的C _pk的基础上构建了图形用户界面-SkSP-2程序和方法，可在实践中促进数据输入，计划选择，标准计算和决策制定。