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Reliability and optimal replacement policy for a generalized mixed shock model

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  • Murat Ozkut

    (Izmir University of Economics)

Abstract

A generalized mixed shock model, which mixes two run shock models, is developed and analyzed. According to the model, the system subject to both internal degradation and external shocks fails upon the occurrence of $$k_1$$ k 1 consecutive shocks whose magnitude is between predefined critical values of $$d_1$$ d 1 and $$d_2$$ d 2 such that $$d_1

Suggested Citation

  • Murat Ozkut, 2023. "Reliability and optimal replacement policy for a generalized mixed shock model," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 32(3), pages 1038-1054, September.
    • Handle: RePEc:spr:testjl:v:32:y:2023:i:3:d:10.1007_s11749-023-00864-z
    DOI: 10.1007/s11749-023-00864-z
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    References listed on IDEAS

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    1. Zarezadeh, Somayeh & Asadi, Majid, 2019. "Coherent systems subject to multiple shocks with applications to preventative maintenance," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 124-132.
    2. Huang, Xianzhen & Jin, Sujun & He, Xuefeng & He, David, 2019. "Reliability analysis of coherent systems subject to internal failures and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 75-83.
    3. Cirillo, Pasquale & Hüsler, Jürg, 2011. "Extreme shock models: An alternative perspective," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 25-30, January.
    4. Cui, Lirong & Wu, Bei, 2019. "Extended Phase-type models for multistate competing risk systems," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 1-16.
    5. Eryilmaz, Serkan & Devrim, Yilser, 2019. "Reliability and optimal replacement policy for a k-out-of-n system subject to shocks," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 393-397.
    6. Li, Xiang-Yu & Li, Yan-Feng & Huang, Hong-Zhong & Zio, Enrico, 2018. "Reliability assessment of phased-mission systems under random shocks," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 352-361.
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    Cited by:

    1. Hamed Lorvand & Somayeh Zarezadeh, 2025. "Reliability modeling of weighted k-out-of-n systems exposed to external shocks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 33(1), pages 133-160, April.
    2. Lin, Huizhong & Zhu, Mengmeng, 2025. "Damage-resistant CPS reliability modeling considering coupled system resistance effects," Reliability Engineering and System Safety, Elsevier, vol. 256(C).

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