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On statistical and information-based virtual age of degrading systems

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  • Finkelstein, Maxim

Abstract

Two approaches to defining a virtual age of a degrading system are considered. The first one is based on the fact that deterioration depends on the environment. In a more severe environment deterioration is more intensive, which means that objects are aging faster and therefore, the corresponding virtual age is larger than the calendar age in a baseline environment. The second approach is based on considering an observed level of individual degradation and comparing it with some average, ‘population degradation’. The virtual age of the series system is defined. Several illustrative examples are considered.

Suggested Citation

  • Finkelstein, Maxim, 2007. "On statistical and information-based virtual age of degrading systems," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 676-681.
    • Handle: RePEc:eee:reensy:v:92:y:2007:i:5:p:676-681
    DOI: 10.1016/j.ress.2006.03.001
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    Cited by:

    1. Xiaohu Li & Zhengcheng Zhang & Yudan Wu, 2009. "Some new results involving general standby systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(5), pages 632-642, September.
    2. Finkelstein, Maxim, 2015. "On the optimal degree of imperfect repair," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 54-58.
    3. Lo, Hui-Chiung & Yu, Rouh-Yun, 2013. "A study of quality management strategy for reused products," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 172-177.
    4. Zohreh Pakdaman & Jafar Ahmadi, 2019. "Switching time of the standby component to the k-out-of-n:G system in the stress–strength setup," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(2), pages 225-248, March.
    5. Ning Wang & Hailun Zhang & Ruoning Lv & Yangming Guo & Peican Zhu, 2022. "An investigation of reliability optimization in standby systems," Journal of Risk and Reliability, , vol. 236(2), pages 237-247, April.
    6. Finkelstein, Maxim, 2009. "Virtual age of non-repairable objects," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 666-669.
    7. Fu, Yuqiang & Wang, Jun, 2022. "Optimum periodic maintenance policy of repairable multi-component system with component reallocation and system overhaul," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    8. Shafiee, Mahmood & Finkelstein, Maxim & Chukova, Stefanka, 2011. "On optimal upgrade level for used products under given cost structures," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 286-291.
    9. Ardakan, Mostafa Abouei & Amini, Hanieh & Juybari, Mohammad N., 2022. "Prescheduled switching time: A new strategy for systems with standby components," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    10. Wang, Yukun & Liu, Yiliu & Liu, Zixian & Li, Xiaopeng, 2017. "On reliability improvement program for second-hand products sold with a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 452-463.
    11. Qiu, Qingan & Cui, Lirong, 2019. "Optimal mission abort policy for systems subject to random shocks based on virtual age process," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 11-20.
    12. Huang, Xianzhen & Aslett, Louis J.M. & Coolen, Frank P.A., 2019. "Reliability analysis of general phased mission systems with a new survival signature," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 416-422.
    13. Fu, Yuqiang & Zhu, Xiaoyan & Ma, Xiaoyang, 2020. "Optimum component reallocation and system replacement maintenance for a used system with increasing minimal repair cost," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    14. Finkelstein, Maxim, 2013. "On dependent items in series in different environments," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 119-122.
    15. Yun, Won Young & Cha, Ji Hwan, 2010. "Optimal design of a general warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 880-886.
    16. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Optimizing availability of heterogeneous standby systems exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 137-145.
    17. Refik Soyer, 2021. "Discussion of “Virtual age: Is it real?”," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 37(1), pages 35-36, January.
    18. Dijoux, Yann, 2009. "A virtual age model based on a bathtub shaped initial intensity," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 982-989.
    19. Park, J.H. & Chang, Woojin & Lie, C.H., 2012. "Stress-reducing preventive maintenance model for a unit under stressful environment," Reliability Engineering and System Safety, Elsevier, vol. 108(C), pages 42-48.

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