Economical design of multiple deferred (dependent) state repetitive group sampling plan based on truncated life test under exponentiated half-logistic distribution

Abstract

The design of a multiple deferred (dependent) state repetitive group sampling plan for exponentiated half-logistic distributed percentile life assurance under time-truncated life test is considered in this article. In this research, tables are provided to choose the design parameters of the proposed plan determined for different percentile ratios using the method of two points on the operating characteristic curve with known shape parameter values. We describe the sampling procedure of the proposed multiple deferred (dependent) state repetitive group sampling plan with real-time data and discuss the effect of misspecification of the shape parameter on lot acceptance probabilities. Based on an economical design of the proposed plan, an optimal plan is determined that satisfies both producer and consumer risks with minimum cost. In addition, the performance of the proposed plan is analyzed and compared with other existing sampling plans under an exponentiated half-logistic lifetime distribution. Finally, conclusions are provided.

Keywords:

• Consumer’s risk
• exponentiated half-logistic distribution
• multiple deferred (dependent) state repetitive group sampling plan
• percentile life
• producer’s risk
• truncated life test

SUBJECT CLASSIFICATIONS:

• 62D05
• 90B25
• 62P30

ACKNOWLEDGMENTS

The authors thank the Editor, Associate Editor, and anonymous reviewers for their valuable comments that led to an improvement in the presentation of the article.

DISCLOSURE

The authors have no conflicts of interest to report.

Additional information

Funding

The first and second authors thank the Kalasalingam Academy of Research and Education for providing financial support through a fellowship.