Designing of variables repetitive group sampling plan for consumer protection

Abstract

Due to the development of modern technology, it is possible to reduce the variation of products quality during the production. However, it is necessary to propose a designing methodology of sampling plans to guarantee the consumers protection in terms of maximum limit of outgoing non-conforming items while protecting the producers a good quality level. Hence, in this paper, we propose the designing methodology of variables repetitive group sampling plan indexed by acceptable quality level and average outgoing quality limit. We develop an optimization model for determining the optimal parameters with minimum average sample number at the acceptable quality level by simultaneously considering two inequalities. The optimal plan parameters are determined for both cases of known and unknown standard deviation. Results show that the proposed plan reduces the required sample size than the existing single sampling plan to provide protection to the consumers in terms of average outgoing quality.

KEYWORDS:

• Acceptable quality level
• average outgoing quality limit
• repetitive group sampling
• rectifying inspection
• optimization
• variables inspection

MSC:

• 62D05
• 62P30
• 78M50

Acknowledgements

The first author would like to thank Kalasalingam Academy of Research and Education for providing financial support through Post-Doctoral fellowship. The authors would like to thank the anonymous reviewers, the Associate Editor and the Editor for their insightful comments and valuable suggestions which led to improve the presentation of the manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).