Acceptance sampling plan is widely used for the inspections of incoming or outgoing products to provide the producer and the consumer a general benchmark for lot sentencing. To reduce the inspection cost, the multiple‐dependent‐state (MDS) plan that takes account of the preceding lots' quality history into the current lot disposition has been proposed. However, recent studies overlook the fact that the MDS plan's performance needed to reach target compliance decreases with an increase in the number of preceding lots considered. This unawareness makes the MDS plan fall into a conflictive situation. To overcome the drawback of the MDS plan, in this paper, we introduce a modified MDS plan to accommodate an adjustable mechanism, called adjustable MDS (AMDS) sampling plans. The presented AMDS plans are designed on the basis of the advanced process capability index, which is cognizant of both the process yield and the process loss. This established process‐capability‐qualified AMDS plan efficiently solves the conflictive situation of the MDS plan when encompassing more preceding lots in the lot‐disposition decision. Notably, its efficacy has been shown on high improvements in terms of the required sample size for the inspection, the discriminatory power, and the average run length for lot sentencing.

中文翻译：

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具有长期供应商与买方关系的过程能力合格的可调整的多依存状态抽样计划

验收抽样计划被广泛用于进出产品的检验，以为生产者和消费者提供批量判刑的一般基准。为了降低检验成本，已经提出了考虑以前批次质量历史到当前批次处置的多重依赖状态（MDS）计划。但是，最近的研究忽略了这样一个事实，即MDS计划达到目标合规性所需的绩效会随着所考虑的先前批次数量的增加而降低。这种不了解使MDS计划陷入冲突状态。为了克服MDS计划的缺点，在本文中，我们介绍了一种经过修改的MDS计划，以适应可调机制，称为可调MDS（AMDS）采样计划。提出的AMDS计划是根据先进的工艺能力指数设计的，该指数可同时识别工艺产量和工艺损失。当在批处理决策中包含更多先前批处理时，此已建立的具有流程能力的AMDS计划可以有效解决MDS计划的冲突情况。值得注意的是，在检查所需的样本量，判别力和批量判刑的平均运行时间方面，其有效性得到了极大的提高。