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Optimal backup in heterogeneous standby systems exposed to shocks

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  • Levitin, Gregory
  • Finkelstein, Maxim

Abstract

The paper considers non-repairable 1-out-of-N heterogeneous warm standby computing systems with components exposed to internal failures and external shocks. To provide the data recovery in the case of operating component failure, the backup procedures are performed during the computational mission. The backups enable an activated standby component to take over the mission task from the point where the last backup has been completed without redoing the entire task from scratch. Both data backup and retrieval times depend on the amount of work performed. The system components are characterized by a different performance level, replacement time, time-to-internal failure distribution, and shocks survival probability. The shock processes also have different characteristics for different components. A numerical method is proposed to evaluate mission success probability for a given allowed mission time and expected mission completion time. The optimal backup scheduling problem is then formulated and solved for different optimization objectives and constraints.

Suggested Citation

  • Levitin, Gregory & Finkelstein, Maxim, 2017. "Optimal backup in heterogeneous standby systems exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 336-344.
    • Handle: RePEc:eee:reensy:v:165:y:2017:i:c:p:336-344
    DOI: 10.1016/j.ress.2017.04.022
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    References listed on IDEAS

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    1. Khac Tuan Huynh & Inma T. Castro & Anne Barros & Christophe Bérenguer, 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," Post-Print hal-00790729, HAL.
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    4. Huynh, K.T. & Castro, I.T. & Barros, A. & Bérenguer, C., 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 140-151.
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    6. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2013. "Cold-standby sequencing optimization considering mission cost," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 28-34.
    7. Papageorgiou, Effie & Kokolakis, George, 2010. "Reliability analysis of a two-unit general parallel system with (n-2) warm standbys," European Journal of Operational Research, Elsevier, vol. 201(3), pages 821-827, March.
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    Cited by:

    1. Gregory Levitin & Maxim Finkelstein, 2018. "Optimal mission abort policy with multiple shock number thresholds," Journal of Risk and Reliability, , vol. 232(6), pages 607-615, December.
    2. Jia, Heping & Ding, Yi & Peng, Rui & Liu, Hanlin & Song, Yonghua, 2020. "Reliability assessment and activation sequence optimization of non-repairable multi-state generation systems considering warm standby," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    3. Maxim Finkelstein & Gregory Levitin, 2018. "Optimal mission duration for systems subject to shocks and internal failures," Journal of Risk and Reliability, , vol. 232(1), pages 82-91, February.
    4. 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.
    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.

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