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Planning two or more level constant-stress accelerated life tests with competing risks

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  • Wu, Shuo-Jye
  • Huang, Syuan-Rong

Abstract

In this article, we investigate the optimization problem when the competing risks data come from a progressive type II censoring in an accelerated life test with multiple levels of constant stress. The failure times of the individual causes are assumed to be independent and exponentially distributed with different parameters. We propose three criteria related to the Fisher's information matrix to determine the optimal stress level as well as the optimal sample allocation at each stress level. A real data set is studied to illustrate the application of the proposed criteria.

Suggested Citation

  • Wu, Shuo-Jye & Huang, Syuan-Rong, 2017. "Planning two or more level constant-stress accelerated life tests with competing risks," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 1-8.
    • Handle: RePEc:eee:reensy:v:158:y:2017:i:c:p:1-8
    DOI: 10.1016/j.ress.2016.09.007
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    References listed on IDEAS

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    1. Dan Zhang & Haitao Liao, 2014. "Design of statistically and energy-efficient accelerated life testing experiments," IISE Transactions, Taylor & Francis Journals, vol. 46(10), pages 1031-1049, October.
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    4. 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.
    5. Haghighi, Firoozeh, 2014. "Optimal design of accelerated life tests for an extension of the exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 251-256.
    6. Balakrishnan, N. & So, H.Y. & Ling, M.H., 2015. "EM algorithm for one-shot device testing with competing risks under exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 137(C), pages 129-140.
    7. Yada Zhu & Elsayed Elsayed, 2013. "Optimal design of accelerated life testing plans under progressive censoring," IISE Transactions, Taylor & Francis Journals, vol. 45(11), pages 1176-1187.
    8. Yada Zhu & Elsayed A. Elsayed, 2013. "Design of accelerated life testing plans under multiple stresses," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(6), pages 468-478, September.
    9. Cheng-Hung Hu & Robert Plante & Jen Tang, 2012. "Step-stress accelerated life tests: a proportional hazards–based non-parametric model," IISE Transactions, Taylor & Francis Journals, vol. 44(9), pages 754-764.
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    Citations

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    Cited by:

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    2. Wu, Bei & Cui, Lirong & Fang, Chen, 2020. "Multi-state balanced systems with multiple failure criteria," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    3. 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).
    4. Man-Ho Ling, 2022. "Optimal Constant-Stress Accelerated Life Test Plans for One-Shot Devices with Components Having Exponential Lifetimes under Gamma Frailty Models," Mathematics, MDPI, vol. 10(5), pages 1-13, March.
    5. Fang, Chen & Cui, Lirong, 2021. "Balanced Systems by Considering Multi-state Competing Risks Under Degradation Processes," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    6. Moustafa, Kassem & Hu, Zhen & Mourelatos, Zissimos P. & Baseski, Igor & Majcher, Monica, 2021. "System reliability analysis using component-level and system-level accelerated life testing," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    7. Yan, Weian & Xu, Xiaofan & Bigaud, David & Cao, Wenqin, 2023. "Optimal design of step-stress accelerated degradation tests based on the Tweedie exponential dispersion process," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    8. Zhang, Chunfang & Wang, Liang & Bai, Xuchao & Huang, Jianan, 2022. "Bayesian reliability analysis for copula based step-stress partially accelerated dependent competing risks model," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    9. 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.
    10. Yao Liu & Yashun Wang & Zhengwei Fan & Xun Chen & Chunhua Zhang & Yuanyuan Tan, 2020. "A new universal multi-stress acceleration model and multi-parameter estimation method based on particle swarm optimization," Journal of Risk and Reliability, , vol. 234(6), pages 764-778, December.

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