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Alternative scales in reliability models for a repairable system

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  • Syamsundar, A.
  • Naikan, V.N.A.
  • Wu, Shaomin

Abstract

In an industry, the lifetime of a technical system is often assessed according to its accumulated throughput/usage e.g., the performance of a Blast Furnace in terms of accumulated quantity of its product, the lifetime of a vehicle in terms of accumulated number of miles it has travelled. Most of these systems are repairable systems. The failure process of a repairable system is conventionally measured in the time domain also termed as a time scale in the literature. Nevertheless, the lifetime of some repairable systems and their failures may be measured in terms of their throughput/usage. Therefore, it makes sense to quantify their failure processes in terms of throughput/usage which may be better indicators than time, of system failure and reliability. Time, usage or a combination of both time and usage may be used as alternative domains/scales of measurement for modelling the failure process of a repairable system. This paper proposes such alternative scales in reliability models for a repairable system. A method is devised in the paper to identify the better alternative scale to model the failure process and thus identify the appropriate scale to assess the system reliability. Industrial failure data are used to illustrate the proposed method.

Suggested Citation

  • Syamsundar, A. & Naikan, V.N.A. & Wu, Shaomin, 2020. "Alternative scales in reliability models for a repairable system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:reensy:v:193:y:2020:i:c:s0951832018313310
    DOI: 10.1016/j.ress.2019.106599
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    References listed on IDEAS

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    1. Wu, Shaomin & Scarf, Philip, 2017. "Two new stochastic models of the failure process of a series system," European Journal of Operational Research, Elsevier, vol. 257(3), pages 763-772.
    2. Wu, Shaomin, 2019. "A failure process model with the exponential smoothing of intensity functions," European Journal of Operational Research, Elsevier, vol. 275(2), pages 502-513.
    3. Yang, Duo & He, Zhen & He, Shuguang, 2016. "Warranty claims forecasting based on a general imperfect repair model considering usage rate," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 147-154.
    4. V. T. Farewell & D. R. Cox, 1979. "A Note on Multiple Time Scales in Life Testing," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 28(1), pages 73-75, March.
    5. Doyen, Laurent & Gaudoin, Olivier & Syamsundar, Annamraju, 2017. "On geometric reduction of age or intensity models for imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 40-52.
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    Citations

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    Cited by:

    1. Louzada, Francisco & Tomazella, Vera L.D. & Gonzatto, Oilson A. & Bochio, Gustavo & Milani, Eder A. & Ferreira, Paulo H. & Ramos, Pedro L., 2022. "Reliability assessment of repairable systems with series–parallel structure subjected to hierarchical competing risks under minimal repair regime," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    2. Jiang, Renyan & Li, Fengping & Xue, Wei & Cao, Yu & Zhang, Kunpeng, 2023. "A robust mean cumulative function estimator and its application to overhaul time optimization for a fleet of heterogeneous repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    3. Ajit Chaturvedi & Renu Garg & Shubham Saini, 2022. "Estimation and testing procedures for the reliability characteristics of Kumaraswamy-G distributions based on the progressively first failure censored samples," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 494-517, June.

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