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A double sampling plan for truncated life tests under two-parameter Lindley distribution

Author

Listed:
  • Chien-Wei Wu

    (National Tsing Hua University)

  • Armin Darmawan

    (National Tsing Hua University
    Hasanuddin University)

  • Nien-Yun Wu

    (National Tsing Hua University)

Abstract

The double sampling plan (DSP) is a generalized version of the single sampling plan (SSP) that provides several advantages, such as reduced sample size, increased discriminatory power, and better communication between producers and consumers. This study proposes a DSP for truncated life tests (TLT-DSP) using a two-parameter Lindley distribution. The proposed TLT-DSP’s parameters are determined by a mathematical model designed to minimize the average sample number while fulfilling two constraints related to predefined quality levels and tolerated risks. Performance measures of the sampling plans are investigated to evaluate and compare their efficiency and effectiveness. Our results demonstrate that the proposed DSP is more efficient than the traditional SSP, especially in cases where the lot’s quality is excellent or poor, and provides necessary protection to both parties involved. Additionally, two examples are presented, discussed and illustrated through a graphical user interface designed to validate the practicability of the proposed approach.

Suggested Citation

  • Chien-Wei Wu & Armin Darmawan & Nien-Yun Wu, 2024. "A double sampling plan for truncated life tests under two-parameter Lindley distribution," Annals of Operations Research, Springer, vol. 340(1), pages 619-641, September.
    • Handle: RePEc:spr:annopr:v:340:y:2024:i:1:d:10.1007_s10479-024-05955-0
    DOI: 10.1007/s10479-024-05955-0
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    References listed on IDEAS

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    1. M. E. Ghitany & D. K. Al-Mutairi, 2008. "Size-biased Poisson-Lindley distribution and its application," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-311.
    2. Wu, Chien-Wei, 2012. "An efficient inspection scheme for variables based on Taguchi capability index," European Journal of Operational Research, Elsevier, vol. 223(1), pages 116-122.
    3. Amy Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.
    4. To-Cheng Wang & Chien-Wei Wu & Ming-Hung Shu, 2022. "A variables-type multiple-dependent-state sampling plan based on the lifetime performance index under a Weibull distribution," Annals of Operations Research, Springer, vol. 311(1), pages 381-399, April.
    5. Amer Al-Omari, 2018. "Improved acceptance sampling plans based on truncated life tests for Garima distribution," 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. 9(6), pages 1287-1293, December.
    6. Al-Omari Amer I. & Al-Nasser Amjad D. & Gogah Fatima Salem, 2016. "Double Acceptance Sampling Plan for Time-Truncated Life Tests Based on Half Normal Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 93-99, December.
    7. Pearn, W.L. & Wu, Chien-Wei, 2007. "An effective decision making method for product acceptance," Omega, Elsevier, vol. 35(1), pages 12-21, February.
    8. Amy H. I. Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.
    9. Ming-Hung Shu & Chien-Wei Wu & Bi-Min Hsu & To-Cheng Wang, 2022. "Standardized lifetime-capability and warranty-return-rate-based suppliers qualification and selection with accelerated Weibull-life type II testing data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(23), pages 8186-8204, October.
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