In an acceptance monitoring system, acceptance sampling techniques are used to increase production, enhance control, and deliver higher-quality products at a lesser cost. It might not always be possible to define the acceptance sampling plan parameters as exact values, especially, when data has uncertainty. In this work, acceptance sampling plans for a large number of identical units with exponential lifetimes are obtained by treating acceptable quality life, rejectable quality life, consumer's risk, and producer's risk as fuzzy parameters. To obtain plan parameters of sequential sampling plans and repetitive group sampling plans, fuzzy hypothesis test is considered. To validate the sampling plans obtained in this work, some examples are presented. Our results are compared with existing results in the literature. Finally, to demonstrate the application of the resulting sampling plans, a real-life case study is presented.
翻译:在验收监控系统中,验收抽样技术用于提高生产效率、增强质量控制,并以更低成本交付更高质量的产品。当数据存在不确定性时,将验收抽样方案参数定义为精确值可能并不总是可行的。本研究通过将可接受质量寿命、可拒绝质量寿命、消费者风险和生产方风险作为模糊参数处理,针对大量具有指数寿命的相同单元得出了验收抽样方案。为获得序贯抽样方案和重复分组抽样方案的方案参数,本文考虑了模糊假设检验。通过示例验证了本文提出的抽样方案,并将结果与文献中的现有结果进行了比较。最后,通过实际案例研究展示了所得抽样方案的应用。