Optimal and economic design of modified double sampling plan under new Weibull–Pareto distribution
International Journal of Quality & Reliability Management
ISSN: 0265-671X
Article publication date: 28 November 2023
Issue publication date: 8 April 2024
Abstract
Purpose
The purpose of this paper is to design a modified version of the double sampling plan to handle the inspection processes requiring a minimum sample size to assure the median life for the products under the new Weibull–Pareto distribution. The economic design of the proposed plan is also considered to assure the product's lifetime with minimum cost.
Design/methodology/approach
The authors have developed an optimization model for obtaining the required plan parameters by solving simultaneously two non-linear inequalities and such inequalities have been formed based on the two points on the operating characteristic curve approach.
Findings
The results show that the average sample number, average total inspection and total inspection cost under the proposed plan are smaller than the same of a single sampling plan. This means that the proposed plan will be more efficient than a single sampling plan in reducing inspection effort and cost while providing the desired protection.
Originality/value
The proposed modified double sampling plan designed to assure the median life of the products under the new Weibull–Pareto distribution is not available in the literature. The proposed plan will be very useful in assuring the product median lifetime with minimum sample size as well as minimum cost in all the manufacturing industries.
Keywords
Acknowledgements
The first author, M. Sankara Narayanan, thanks Kalasalingam Academy of Research and Education for providing financial support through fellowship. The authors thank the anonymous reviewers and the Editor for their valuable comments and significant suggestions that helped to improve the quality of this article. This research was also supported by the Department of Science and Technology – Science and Engineering Research Board (DST – SERB) of India through the project (CRG/2020/005078).
Since the submission of this article, the following author(s) has updated her affiliation(s): P. Jeyadurga is at the Department of Mathematics, Rajalakshmi Engineering College, Chennai, India.
Citation
Sankara Narayanan, M., Jeyadurga, P. and Balamurali, S. (2024), "Optimal and economic design of modified double sampling plan under new Weibull–Pareto distribution", International Journal of Quality & Reliability Management, Vol. 41 No. 5, pp. 1235-1252. https://doi.org/10.1108/IJQRM-04-2022-0132
Publisher
:Emerald Publishing Limited
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