Design of sampling plan using auxiliary information

ABSTRACT

In this manuscript, a variable sampling decision rule for product acceptance is proposed when the additional or auxiliary information is available for the quality characteristics under study. The auxiliary information is usually correlated with the quality characteristics and so the regression estimator is used to develop the proposed sampling plan. To find the plan parameters, the two-point approach is adopted such that producer's risk and consumer's risk are satisfied. The advantage of the proposed plan is discussed with the usual single plan without auxiliary information. Tables are given for practical uses and explained with the help of industrial examples.

KEYWORDS:

• Quality control
• normal distribution
• regression estimator
• producer's risk and consumer's risk
• variable acceptance sampling plan.

MATHEMATICS SUBJECT CLASSIFICATION:

• 97K80

Acknowledgments

The authors are deeply thankful to editor, reviewers, and Dr. Muhammad Azam for their valuable suggestions to improve the quality of manuscript.

Funding

The authors are thankful to the Deanship of Scientific Research, King Saud University Riyadh for funding the work through the research Group project No RGP-280.