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A discrete stress–strength interference model based on universal generating function

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  • An, Zong-Wen
  • Huang, Hong-Zhong
  • Liu, Yu

Abstract

Continuous stress–strength interference (SSI) model regards stress and strength as continuous random variables with known probability density function. This, to some extent, results in a limitation of its application. In this paper, stress and strength are treated as discrete random variables, and a discrete SSI model is presented by using the universal generating function (UGF) method. Finally, case studies demonstrate the validity of the discrete model in a variety of circumstances, in which stress and strength can be represented by continuous random variables, discrete random variables, or two groups of experimental data.

Suggested Citation

  • An, Zong-Wen & Huang, Hong-Zhong & Liu, Yu, 2008. "A discrete stress–strength interference model based on universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1485-1490.
    • Handle: RePEc:eee:reensy:v:93:y:2008:i:10:p:1485-1490
    DOI: 10.1016/j.ress.2007.09.011
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    References listed on IDEAS

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    1. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, January.
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    Cited by:

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    2. Ma, Ye & Chi, Yuanying & Wu, Di & Peng, Rui & Wu, Shaomin, 2021. "Reliability of integrated electricity and gas supply system with performance substitution and sharing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    3. Lyu, Dong & Si, Shubin, 2020. "Dynamic importance measure for the K-out-of-n: G system under repeated random load," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    4. Tengda Xin & Jiguang Zhao & Cunyan Cui & Yongsheng Duan, 2020. "A non-probabilistic time-variant method for structural reliability analysis," Journal of Risk and Reliability, , vol. 234(5), pages 664-675, October.
    5. Ossai, Chinedu I., 2019. "Remaining useful life estimation for repairable multi-state components subjected to multiple maintenance actions," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 142-151.
    6. Xiao, Hui & Shi, Daimin & Ding, Yi & Peng, Rui, 2016. "Optimal loading and protection of multi-state systems considering performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 88-95.
    7. Serkan Eryılmaz, 2011. "A new perspective to stress–strength models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(1), pages 101-115, February.
    8. Dong Lyu & Shubin Si & Zhiqiang Cai & Liyang Xie, 2020. "Computational method for importance measure of the k-out-of-n system based on stress–strength interference," Journal of Risk and Reliability, , vol. 234(1), pages 27-40, February.

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