Economic design of quick switching sampling system for assuring Weibull distributed mean life

ABSTRACT

In this paper, we propose the quick switching sampling system for assuring mean life of a product under time truncated life test where the lifetime of the product follows the Weibull distribution and the mean life is considered as the quality of the product. The optimal parameters of the proposed system are determined using two points on the operating characteristic curve approach for various combinations of consumer's risk and ratio of true mean life time and specified life time. Tables are constructed to determine the optimal parameters for specified acceptable quality level and limiting quality level along with the corresponding probabilities of acceptance. The proposed system is compared with other existing sampling plans under Weibull lifetime model. In addition, an economical design of the proposed system is also discussed.

KEYWORDS:

• Consumer's risk
• Economic design
• Mean life
• Producer's risk
• Quick switching sampling system
• Weibull distribution

MATHEMATICS SUBJECT:

• 62D05
• 90B25
• 62P30
• 90C30

Acknowledgments

This study was supported by Department of Science and Technology-Science and Engineering Research Board (DST-SERB) of India through the project (SR/S4/MS:790/12). The authors are also grateful to the editor and the anonymous reviewers for the significant comments which led to improve the presentation of the manuscript.