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Reliability of manufacturing equipment in complex environments

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  • Jeffrey Kharoufeh
  • Steven Cox
  • Mark Oxley

Abstract

We present two stochastic failure models for the reliability evaluation of manufacturing equipment that degrades due to its complex operating environment. The first model examines the case when the environment is a temporally nonhomogeneous continuous-time Markov chain, and the second assumes the environment is a temporally homogeneous semi-Markov process on a finite space. Derived are transform expressions for the lifetime distributions. A few examples are provided to illustrate the main results. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Jeffrey Kharoufeh & Steven Cox & Mark Oxley, 2013. "Reliability of manufacturing equipment in complex environments," Annals of Operations Research, Springer, vol. 209(1), pages 231-254, October.
    • Handle: RePEc:spr:annopr:v:209:y:2013:i:1:p:231-254:10.1007/s10479-011-0839-x
    DOI: 10.1007/s10479-011-0839-x
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    References listed on IDEAS

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    8. Rafael Pérez‐Ocón & Juan Eloy Ruiz‐Castro & M. Luz Gámiz‐Pérez, 2001. "Non‐homogeneous Markov models in the analysis of survival after breast cancer," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(1), pages 111-124.
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    Cited by:

    1. Dong Li & Nishant Mishra & Serguei Netessine, 2023. "Contracting for Product Support Under Information Asymmetry," Management Science, INFORMS, vol. 69(8), pages 4627-4645, August.
    2. Li, Yan & Cui, Lirong & Lin, Cong, 2017. "Modeling and analysis for multi-state systems with discrete-time Markov regime-switching," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 41-49.
    3. Yu-Hsin Hung & Chia-Yen Lee & Ching-Hsiung Tsai & Yen-Ming Lu, 2022. "Constrained particle swarm optimization for health maintenance in three-mass resonant servo control system with LuGre friction model," Annals of Operations Research, Springer, vol. 311(1), pages 131-150, April.
    4. Liang, Zhenglin & Liu, Bin & Xie, Min & Parlikad, Ajith Kumar, 2020. "Condition-based maintenance for long-life assets with exposure to operational and environmental risks," International Journal of Production Economics, Elsevier, vol. 221(C).

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