Multiple dependent state repetitive group sampling plan based on the Taguchi process capability index

• Published in: Sequential analysis Vol. 44; no. 2; pp. 206 - 226
• Main Authors: Suthersan, P., Balamurali, S.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 03.04.2025
• Subjects: Average sample number; multiple dependent state sampling plan; operating characteristic curve; Taguchi capability index
• ISSN: 0747-4946; 1532-4176
• DOI: 10.1080/07474946.2025.2460619

The acceptance sampling plan, a practical approach in statistical quality control, outlines clear inspection steps to ensure quality and make decisions about the acceptance or rejection of submitted lots of manufactured goods, relying on sampled units. The multiple dependent state sampling plan, categorized as one of the conditional sampling plans, utilizes the information on both the current lot and preceding lots to make a decision on the current lot with a smaller average sample number. Another special purpose sampling plan, namely, the repetitive group sampling inspection plan, also contributes to reducing the average sample number with desired protection. The multiple dependent state repetitive group sampling plan is a new sampling plan developed by incorporating the features of both the multiple dependent state sampling plan and the repetitive group sampling plan. This article proposes a design methodology for the multiple dependent state repetitive group sampling inspection plan based on the Taguchi process capability index. The optimal plan parameters are obtained by taking into account two points on the operating characteristic curve and ensuring producer and consumer risks at the specified quality levels. The proposed plan is compared with the existing sampling inspection plans in terms of performance measures such as probability of acceptance and average sample number. In addition, real-time data are used to explain the implementation of the proposed plan. It is also shown that the proposed sampling plan outperforms the existing sampling plans.