Designing a Repetitive Group Sampling Plan for Weibull Distributed Processes. (18th September 2016)

• Record Type: Journal Article
• Authors: Yan, Aijun; Liu, Sanyang
• Other Names: Xu Gen Qi Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-09-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/5862071
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Acceptance sampling plans are useful tools to determine whether the submitted lots should be accepted or rejected. An efficient and economic sampling plan is very desirable for the high quality levels required by the production processes. The process capability indexC L is an important quality parameter to measure the product quality. Utilizing the relationship between theC L index and the nonconforming rate, a repetitive group sampling (RGS) plan based onC L index is developed in this paper when the quality characteristic follows the Weibull distribution. The optimal plan parameters of the proposed RGS plan are determined by satisfying the commonly used producer's risk and consumer's risk at the same time by minimizing the average sample number (ASN) and then tabulated for different combinations of acceptance quality level (AQL) and limiting quality level (LQL). The results show that the proposed plan has better performance than the single sampling plan in terms of ASN. Finally, the proposed RGS plan is illustrated with an industrial example.