A Rectifying Acceptance Sampling Plan Based on the Process Capability Index

The acceptance sampling plan and process capability index (PCI) are critical decision tools for quality control. Recently, numerous research papers have examined the acceptance sampling plan in combination with the PCI. However, most of these papers have not considered the aspect of rectifying inspe...

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Bibliographic Details
Published inMathematics (Basel) Vol. 8; no. 1; p. 141
Main Authors Yen, Ching-Ho, Lee, Chun-Chia, Lo, Kuo-Hung, Shiue, Yeou-Ren, Li, Shu-Hua
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2020
Subjects
acceptance sampling plan
average outgoing quality limit
Capability indices
Consumers
Cost analysis
Design
Failure analysis
Food science
Inspection
Manufacturing
Parameter sensitivity
Performance evaluation
process capability indices
Quality control
rectifying inspection
Sample size
Sampling
Scientific papers
Sensitivity analysis
Standard deviation
Total quality
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Summary:The acceptance sampling plan and process capability index (PCI) are critical decision tools for quality control. Recently, numerous research papers have examined the acceptance sampling plan in combination with the PCI. However, most of these papers have not considered the aspect of rectifying inspections. In this paper, we propose a quality cost model of repetitive sampling to develop a rectifying acceptance sampling plan based on the one-sided PCI. This proposed model minimizes the total quality cost (TQC) of sentencing one lot, including inspection cost, internal failure cost, and external failure cost. In addition, sensitivity analysis is conducted to investigate the behavior of relevant parameters against TQC. To demonstrate the advantages of the proposed methodology, a comparison is implemented with the existing rectifying sampling plan in terms of TQC and average outgoing quality limit. This comparison reveals that our proposed methodology exhibits superior performance.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8010141