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Design of accelerated life test sampling plans with a nonconstant shape parameter

Author

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  • Seo, J.H.
  • Jung, M.
  • Kim, C.M.

Abstract

Accelerated life test sampling plans (ALTSPs) provide information quickly on the lifetime distribution of products by testing them at higher-than-usual stress level to induce early failures and reduce the testing efforts. In the traditional design of ALTSPs for Weibull distribution, it is assumed that the shape parameter remains constant over all stress levels. This paper extends the existing design of ALTSPs to Weibull distribution with a nonconstant shape parameter and presents two types of ALTSPs; time-censored and failure-censored. Optimum ALTSPs which satisfy the producer's and consumer's risk requirements and minimize the asymptotic variance of the test statistic for deciding the lot acceptability are obtained. The properties of the proposed ALTSPs and the effects of errors in pre-estimate of the design parameters are also investigated.

Suggested Citation

  • Seo, J.H. & Jung, M. & Kim, C.M., 2009. "Design of accelerated life test sampling plans with a nonconstant shape parameter," European Journal of Operational Research, Elsevier, vol. 197(2), pages 659-666, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:2:p:659-666
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    Citations

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    Cited by:

    1. Wu, Chien-Wei & Aslam, Muhammad & Jun, Chi-Hyuck, 2012. "Variables sampling inspection scheme for resubmitted lots based on the process capability index Cpk," European Journal of Operational Research, Elsevier, vol. 217(3), pages 560-566.
    2. Wei Cui & Zai-zai Yan & Xiu-yun Peng & Gai-mei Zhang, 2022. "Reliability analysis of log-normal distribution with nonconstant parameters under constant-stress model," 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. 13(2), pages 818-831, April.
    3. Chien-Wei Wu & Zih-Huei Wang, 2017. "Developing a variables multiple dependent state sampling plan with simultaneous consideration of process yield and quality loss," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2351-2364, April.
    4. Fernández, Arturo J. & Correa-Álvarez, Cristian D. & Pericchi, Luis R., 2020. "Balancing producer and consumer risks in optimal attribute testing: A unified Bayesian/Frequentist design," European Journal of Operational Research, Elsevier, vol. 286(2), pages 576-587.
    5. Luo, Wei & Zhang, Chun-hua & Chen, Xun & Tan, Yuan-yuan, 2015. "Accelerated reliability demonstration under competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 75-84.
    6. Fernández, Arturo J. & Pérez-González, Carlos J. & Aslam, Muhammad & Jun, Chi-Hyuck, 2011. "Design of progressively censored group sampling plans for Weibull distributions: An optimization problem," European Journal of Operational Research, Elsevier, vol. 211(3), pages 525-532, June.
    7. Wang, Liang & Wu, Shuo-Jye & Zhang, Chunfang & Dey, Sanku & Tripathi, Yogesh Mani, 2022. "Analysis for constant-stress model on multicomponent system from generalized inverted exponential distribution with stress dependent parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 301-316.
    8. Wei Luo & Chun-Hua Zhang & Xun Chen & Yuan-Yuan Tan, 2013. "Reliability demonstration based on accelerated degradation testing for unknown model parameters," Journal of Risk and Reliability, , vol. 227(2), pages 162-172, April.
    9. Cheng, Yao & Liao, Haitao & Huang, Zhiyi, 2021. "Optimal degradation-based hybrid double-stage acceptance sampling plan for a heterogeneous product," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    10. Qin, Shuidan & Wang, Bing Xing & Wu, Wenhui & Ma, Chao, 2022. "The prediction intervals of remaining useful life based on constant stress accelerated life test data," European Journal of Operational Research, Elsevier, vol. 301(2), pages 747-755.
    11. Wang, Liang & Tripathi, Yogesh Mani & Lodhi, Chandrakant & Zuo, Xuanjia, 2022. "Inference for constant-stress Weibull competing risks model under generalized progressive hybrid censoring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 70-83.
    12. Wang, Guodong & He, Zhen & Xue, Li & Cui, Qingan & Lv, Shanshan & Zhou, Panpan, 2017. "Bootstrap analysis of designed experiments for reliability improvement with a non-constant scale parameter," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 114-121.
    13. Fernández, Arturo J., 2015. "Optimum attributes component test plans for k-out-of-n:F Weibull systems using prior information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 688-696.
    14. David Han, 2014. "Optimum Constant-stress and Step-stress Accelerated Life Tests under Time and Cost Constraints," Working Papers 0173mss, College of Business, University of Texas at San Antonio.

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