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Assessing the economic-statistical performance of variable acceptance sampling plans based on loss function

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  • Samrad Jafarian-Namin

    (Alzahra University)

  • Parviz Fattahi

    (Alzahra University)

  • Ali Salmasnia

    (University of Qom)

Abstract

Acceptance sampling plans (ASPs) for attributes are sometimes misapplied to normal quality characteristics. When inspection costs and quality levels are high, using variable ASPs (VASPs) can be preferable. Among developed approaches to design ASPs, few studies have incorporated losses into the cost objective function. Their limited attention, such as focusing on limited random scenarios, considering only the activation of one specification limit, failing to compare VASPs with military standards still in use, and relying on time-consuming solution procedures, motivated us to utilize the advantages of loss-based economic-statistical design, evaluate four VASPs and two military standards, and presenting detailed results. Additionally, we develop the first Particle swarm optimization (PSO)-based solution procedure for designing VASPs. Numerical and real case studies, which consider the activation of lower and upper specification limits, demonstrate the superior performance of (1) the repetitive group sampling plan, (2) MIL-STD-414 over MIL-STD-105E, and (3) PSO compared to other approaches.

Suggested Citation

  • Samrad Jafarian-Namin & Parviz Fattahi & Ali Salmasnia, 2025. "Assessing the economic-statistical performance of variable acceptance sampling plans based on loss function," Computational Statistics, Springer, vol. 40(7), pages 3665-3713, September.
    • Handle: RePEc:spr:compst:v:40:y:2025:i:7:d:10.1007_s00180-024-01581-3
    DOI: 10.1007/s00180-024-01581-3
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    References listed on IDEAS

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    1. Chien-Wei Wu & Armin Darmawan & Shih-Wen Liu, 2023. "Stage-independent multiple sampling plan by variables inspection for lot determination based on the process capability index Cpk," International Journal of Production Research, Taylor & Francis Journals, vol. 61(10), pages 3171-3183, May.
    2. Atefe Banihashemi & Mohammad Saber Fallah Nezhad & Amirhossein Amiri & Michael B. C. Khoo, 2023. "Integrated QSS-RS plans based on the process yield index for lot acceptance determination," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(23), pages 8584-8606, December.
    3. To-Cheng Wang & Ming-Hung Shu & Bi-Min Hsu & Chih-Wei Hsu, 2022. "Adjustable variables multiple-dependent-state sampling plans based on a process capability index," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 73(12), pages 2626-2639, December.
    4. 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.
    5. Muhammad Aslam & Muhammad Azam & Chi‐Hyuck Jun, 2015. "Various repetitive sampling plans using process capability index of multiple quality characteristics," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(6), pages 823-835, November.
    6. Muhammad Aslam & Debasis Kundu & Munir Ahmad, 2010. "Time truncated acceptance sampling plans for generalized exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(4), pages 555-566.
    7. Ritwik Bhattacharya & Muhammad Aslam, 2019. "Design of variables sampling plans based on lifetime-performance index in presence of hybrid censoring scheme," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(16), pages 2975-2986, December.
    8. 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.
    9. Muhammad Aslam & Chi-Hyuck Jun, 2009. "A group acceptance sampling plan for truncated life test having Weibull distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 1021-1027.
    10. P.C. Ramyamol & Mahesh Kumar, 2020. "Optimal reliability acceptance sampling plan based on accelerated life test data," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 30(3), pages 354-370.
    11. Li, Xiaoyang & Chen, Wenbin & Sun, Fuqiang & Liao, Haitao & Kang, Rui & Li, Renqing, 2018. "Bayesian accelerated acceptance sampling plans for a lognormal lifetime distribution under Type-I censoring," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 78-86.
    12. Lam, Yeh & Li, Kim-Hung & Ip, Wai-Cheung & Wong, Heung, 2006. "Sequential variable sampling plan for normal distribution," European Journal of Operational Research, Elsevier, vol. 172(1), pages 127-145, July.
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