Economic design of repetitive group sampling plan based on truncated life test under exponentiated half logistic distribution

Abstract

In this paper, we propose repetitive group sampling plan based on time truncated life test under exponentiated half logistic distribution by considering percentile lifetime of the product as its quality characteristic when shape parameter value of exponentiated half logistic distribution is known. In this research, the design parameters are determined for various percentile ratios using the method of two points on the operating characteristic curve. Tables are constructed for various values of shape parameters to choose optimal parameters. The sampling procedure of proposed repetitive group sampling plan is illustrated with real time data and the consequence of misspecification of shape parameter on lot acceptance probability is also investigated. The proposed plan is also compared with single and double sampling plans in terms of discriminating power and average sample number under two other lifetime distributions. Moreover, an economic design of the proposed repetitive group sampling plan is discussed and optimal plan is selected to fulfill both producer’s and consumer’s risks with minimum cost.

Keywords:

• Consumer’s risk
• exponentiated half logistic distribution
• producer’s risk
• repetitive group sampling plan
• time truncated life test

Acknowledgments

The first and second authors would like to thank Kalasalingam Academy of Research and Education for the financial support through the research fellowship. The authors are thankful to the Editor and the anonymous reviewer for their constructive comments which significantly improved the presentation of this manuscript.

Additional information

Notes on contributors

G. Kannan

G. Kannan completed his MSc and MPhil degrees in Mathematics from Madurai Kamaraj University, Tamilnadu, India. He is now pursuing PhD degree in the Department of Mathematics at Kalasalingam Academy of Research and Education, Tamilnadu, India. His area of research is acceptance sampling.

P. Jeyadurga

P. Jeyadurga completed her MSc in Mathematics in Madurai Kamaraj University, India and received her PhD degree from Kalasalingam Academy of Research and Education. Her areas of interest are acceptance sampling and control charts.

S. Balamurali

S. Balamurali is a Professor of Statistics at Kalasalingam University. He earned his MSc and PhD degrees from Bharathiar University, India. His research interests include statistical process control, acceptance sampling, data mining and analysis of means. His research papers have been published in various international journals such as Quality Engineering, Journal of Applied Statistics, Journal of Statistical Computation and Simulation, Communications in Statistics, Economic Quality Control, IEEE Transactions on Reliability, Applied Stochastic Models in Business and Industry and so on. He is also serving as Reviewer for various international journals.