Designing of variables quick switching sampling system by considering process loss functions

ABSTRACT

This paper proposes a variables quick switching system where the quality characteristic of interest follows a normal distribution and the quality characteristic is evaluated through a process loss function. Most of the variables sampling plans available in the literature focus only on the fraction non-conforming and those plans do not distinguish between the products that fall within the specification limits. The products that fall within specification limits may not be good if their mean is too away from the target value. So developing a sampling plan by considering process loss is inevitable in these situations. Based on this idea, we develop a variables quick switching system based on the process loss function for the application of the processes requiring low process loss. Tables are also constructed for the selection of parameters of variables quick switching system for given acceptable quality level and limiting quality level. The results are explained with examples.

KEYWORDS:

• Acceptable quality level
• Limiting quality level
• Producer's risk
• Consumer's risk
• Specification limits
• Process loss function.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62P30
• 90C30
• 90C90

Acknowledgements

The authors would like to thank the reviewers and the Editor for their valuable comments and suggestions which led to improve the presentation of the manuscript.