Two-Stage Variables Acceptance Sampling Plans Using Process Loss Functions

Abstract

In this article, a variable two-stage acceptance sampling plan is developed when the quality characteristic is evaluated through a process loss function. The plan parameters of the proposed plan are determined by using the two-point approach and tabulated according to various quality levels. Two cases are discussed when the process mean lies at the target value and when it does not, respectively. Extensive tables are provided for both cases and the results are explained with examples. The advantage of the proposed plan is compared with the existing variable single acceptance sampling plan using the process loss function.

Keywords:

• Consumer's risk
• Producer's risk
• Specification limits
• Variable two-stage sampling plan

2000 Mathematics Subject Classification:

• Primary 62N05
• Secondary 90B25

Acknowledgments

The authors would like to thank the reviewers, the Editor, the Managing Editor, and Dr. Hilary McCartney for their valuable comments which helped to improve the quality of this article.