Abstract

Reducing the warranty cost to increase profit is a major focus for most businesses. To achieve this goal, the acceptance sampling plan (ASP) can be an efficient tool to validate whether the product lifetimes meet their requirements. In the ASP practice, the single sampling plan (SSP) is widely used due to its administrative simplicity. Unfortunately, the SSP ignores the valuable sample information from preceding lots, which may reduce its efficiency and quality-discrimination power. Especially, the collection of lifetime information often consumes a significant amount of time and is expensive in today’s high product-yield and long-life environment. To address the drawbacks of the SSP, we propose a lifetime performance-qualified quick switch sampling (QSS) system under a Weibull distribution with failure-censoring. This system nimbly switches between the normal SSP and tightened SSP based on the previous lot-disposition result. Compared to the ordinary SSP and the recently proposed multiple-lot dependent sampling plan, the QSS system not only significantly reduces the required number of failures that need to be observed in the life testing but also exhibits a better discriminatory operating characteristic curve for the lot disposition. On the other hand, the QSS system helps the consumer to communicate to the supplier important messages that (i) only with reliable submissions the latter can persistently enjoy the benefits of the normal lot-sentencing standard; (ii) once the submitted lot is rejected, the supplier will have to spend more efforts to gain back the consumer trust. Moreover, we developed a web-based tool to help practitioners obtain the system criteria easily and quickly without the need for the traditional time-consuming table lookup. By operating the interactive interface of the web app, practitioners can quickly obtain the system criteria conforming to the requirements. Finally, the proposed QSS system is illustrated by a real-life application.

摘要

降低保修成本以增加利润是大多数企业的主要关注点。为了实现这一目标，验收抽样计划 (ASP) 可以成为验证产品寿命是否满足其要求的有效工具。在 ASP 实践中，单一抽样计划 (SSP) 由于其管理简单而被广泛使用。不幸的是，SSP 忽略了来自先前批次的有价值的样本信息，这可能会降低其效率和质量辨别能力。尤其是，生命周期信息的收集在当今高产量和长寿命的环境中通常会消耗大量时间并且成本高昂。为了解决 SSP 的缺点，我们在威布尔分布下提出了一种终身性能合格的快速开关采样 (QSS) 系统，并带有故障审查。该系统根据之前的批次处理结果，在正常 SSP 和收紧 SSP 之间灵活切换。与普通的 SSP 和最近提出的多批次相关抽样方案相比，QSS 系统不仅显着减少了寿命测试中需要观察到的故障次数，而且对批次配置表现出更好的判别性操作特性曲线. 另一方面，QSS 系统帮助消费者向供应商传达重要信息：(i) 只有可靠的提交，供应商才能持续享受正常批判标准的好处；(ii) 一旦提交的批次被拒绝，供应商将不得不花费更多的努力来重新获得消费者的信任。此外，我们开发了一个基于网络的工具来帮助从业者轻松快速地获得系统标准，而无需进行传统耗时的查表。从业者通过操作web app的交互界面，可以快速获取符合要求的系统标准。最后，通过实际应用说明了所提出的 QSS 系统。