Designing a Repetitive Group Sampling Plan for Weibull Distributed Processes

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 index C L is an important quality para...

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Bibliographic Details
Published in:Mathematical problems in engineering 2016-01, Vol.2016 (2016), p.1-10
Main Authors: Yan, Aijun, Liu, Sanyang
Format: Article
Language:English
Subjects:
Acceptance
Acceptance sampling
AQL
Capability indices
Constraining
Consumers
Economics
Engineering
Mathematical analysis
Optimization
Parameters
Performance evaluation
Product quality
Researchers
Risk
Risk acceptance
Sample size
Sampling
Statistical process control
Studies
Weibull distribution
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Summary: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 index C L is an important quality parameter to measure the product quality. Utilizing the relationship between the C L index and the nonconforming rate, a repetitive group sampling (RGS) plan based on C 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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2016/5862071