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Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics

Author

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  • Mahendra Saha

    (Central University of Rajasthan)

  • Harsh Tripathi

    (Central University of Rajasthan)

  • Sanku Dey

    (St. Anthony’s College)

  • Sudhansu S. Maiti

    (Visva-Bharati University)

Abstract

In this article, an acceptance sampling inspection plan is proposed when the quality characteristic follows the Lindley distribution. In this sampling plan, an exact approach has been introduced using the Lindley distributed quality characteristic while an approximate approach of acceptance sampling inspection has also been provided using the power Lindley distributed quality characteristic based on Box–Cox transformation for approximation to near normally distributed data. The plan parameters have been obtained by two approaches: the acceptable quality level (AQL) and the limiting quality level (LQL). For given producer’s risk and consumer’s risk, the plan parameters are reported according to various values of the AQL and LQL. Two real life examples are provided to illustrate the performance of the exact and approximated approach of the proposed acceptance sampling inspection plan.

Suggested Citation

  • Mahendra Saha & Harsh Tripathi & Sanku Dey & Sudhansu S. Maiti, 2021. "Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(6), pages 1410-1419, December.
    • Handle: RePEc:spr:ijsaem:v:12:y:2021:i:6:d:10.1007_s13198-021-01349-8
    DOI: 10.1007/s13198-021-01349-8
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    References listed on IDEAS

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    Cited by:

    1. Mahendra Saha & Harsh Tripathi & Anju Devi & Pratibha Pareek, 2024. "Applications of Reliability Test Plan for Logistic Rayleigh Distributed Quality Characteristic," Annals of Data Science, Springer, vol. 11(5), pages 1687-1703, October.
    2. Chien-Chih Wang & Yu-Shan Chang, 2023. "Dynamic Acceptance Sampling Strategy Based on Product Quality Performance Using Examples from IC Test Factory," Mathematics, MDPI, vol. 11(13), pages 1-16, June.
    3. Yusra Tashkandy & Walid Emam & M. Masoom Ali & Haitham M. Yousof & Basma Ahmed, 2023. "Quality Control Testing with Experimental Practical Illustrations under the Modified Lindley Distribution Using Single, Double, and Multiple Acceptance Sampling Plans," Mathematics, MDPI, vol. 11(9), pages 1-28, May.

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