Determination of new multiple deferred state sampling plan with economic perspective under Weibull distribution

ABSTRACT

This study focuses on designing a new multiple deferred state sampling plan to ensure products’ mean lifetime that complies with Weibull distribution. The parameters that characterize the proposed plan are determined by considering two specified points on the operating characteristic curve. Practical applications of the proposed plan for assuring mean lifetimes of electrical appliances as well as Lithium-ion batteries are explained by using real-time data and simulated data respectively. Sensitivity analysis on testing time of the life test is done and theoretical average sample number is compared with the same obtained by simulation. By comparing the proposed plan with other existing sampling plans based on discriminating power, the number of units required for lot sentencing, it is observed that the new multiple deferred state sampling plan provides quality assurance for the products with low inspection costs compared to the other existing sampling plans. Besides, this study investigates the economic design of a new multiple deferred state sampling plan and compares the total cost needed in the proposed plan with the same required for some other existing sampling plans.

KEYWORDS:

• Consumer’s risk
• discriminating power
• economic design
• new multiple deferred state sampling plan
• producer’s risk
• Weibull distribution

Acknowledgements

The first author would like to thank the Kalasalingam Academy of Research and Education for providing financial support through Post-doctoral fellowship. The authors would like to thank the anonymous reviewers, the Associate Editor, and the Editor for their insightful comments and valuable suggestions which led to improve the presentation of the manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).