Determination of a new mixed variable lot-size multiple dependent state sampling plan based on the process capability index

ABSTRACT

This article proposes a new mixed variable lot-size multiple dependent state sampling plan in which the attribute sampling plan can be used in the first stage and the variables multiple dependent state sampling plan based on the process capability index will be used in the second stage for the inspection of measurable quality characteristics. The proposed mixed plan is developed for both symmetric and asymmetric fraction non conforming. The optimal plan parameters can be determined by considering the satisfaction levels of the producer and the consumer simultaneously at an acceptable quality level and a limiting quality level, respectively. The performance of the proposed plan over the mixed single sampling plan based on C_pk and the mixed variable lot size plan based on C_pk with respect to the average sample number is also investigated. Tables are constructed for easy selection of plan parameters for both symmetric and asymmetric fraction non conforming and real world examples are also given for the illustration and practical implementation of the proposed mixed variable lot-size plan.

KEYWORDS:

• Sampling plan
• process capability index
• variable lot-size plan
• MDS plan
• mixed plan
• producer's risk
• consumer's risk

MATHEMATICS SUBJECT CLASSIFICATIONS:

• 62P30
• 90C30
• 90C90
• 97K80

Acknowledgments

The authors are deeply thankful to the editor and reviewers for their valuable suggestions which helped to improve the quality of paper.

Funding

This article was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah. The author, Muhammad Aslam, therefore, acknowledge with thanks DSR technical and financial support.