Multiple dependent state repetitive sampling plans with or without auxiliary variable

ABSTRACT

In this article, a new variable acceptance sampling plan has been developed using the multiple dependent state repetitive sampling scheme for the normal distribution. The plan parameters have been determined so as to minimize the average sample number while satisfying the producer's and the consumer's risks under the operating characteristic function. The multiple dependent state repetitive sampling scheme has also been extended to the case of utilizing an auxiliary variable. The proposed sampling plans are compared with the existing sampling plans.

KEYWORDS:

• Multiple dependent state
• repetitive sampling
• acceptance sampling plan
• Average sample number
• producer's risk
• consumer's risks
• OC function

MATHEMATICS SUBJECT CLASSIFICATION:

• 97K80

Acknowledgements

The authors are deeply thankful to reviewers and editor for their valuable suggestions to improve the quality of paper. This article was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah. The author, Muhammad Aslam, therefore, acknowledge with thanks DSR technical and financial support.