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Improved modular reliability analyses of hybrid phased mission systems

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  • A Shrestha
  • L Xing

Abstract

Phased mission systems (PMSs) involve a sequence of multiple tasks that must be carried out in consecutive, non-overlapping phases of operation. During each phase, the system is typically subject to different stresses and dependability requirements. Three major factors contribute to the difficulty in analysing PMSs: dynamics in system configuration, failure criteria, and component failure behaviour across different phases; s -dependence across the consecutive phases for a given component; and s -dependence among different components. A phase modular approach that integrates combinatorial solutions to static modules and Markov solutions to dynamic modules as appropriate has been recently proposed to address the above difficulty. Although the modular approach outperforms both the purely combinatorial solutions in modelling power and state-space based methods in computational efficiency, it involves costly path enumeration as well as joint phase module model generation and probability computation. This paper proposes improvements on the phase modular approach that can avoid the aforementioned costly operations and thus facilitate more efficient evaluation of hybrid PMSs. The proposed solutions are verified and illustrated through the analyses of an example phased mission system.

Suggested Citation

  • A Shrestha & L Xing, 2008. "Improved modular reliability analyses of hybrid phased mission systems," Journal of Risk and Reliability, , vol. 222(4), pages 507-520, December.
  • Handle: RePEc:sae:risrel:v:222:y:2008:i:4:p:507-520
    DOI: 10.1243/1748006XJRR197
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    Cited by:

    1. Wu, Xiaoyue & Hillston, Jane, 2015. "Mission reliability of semi-Markov systems under generalized operational time requirements," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 122-129.
    2. Levitin, Gregory & Xing, Liudong & Amari, Suprasad V. & Dai, Yuanshun, 2013. "Reliability of non-repairable phased-mission systems with propagated failures," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 218-228.
    3. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    4. Vu, Hai Canh & Do, Phuc & Barros, Anne & Bérenguer, Christophe, 2014. "Maintenance grouping strategy for multi-component systems with dynamic contexts," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 233-249.
    5. Peng, Rui & Zhai, Qingqing & Xing, Liudong & Yang, Jun, 2014. "Reliability of demand-based phased-mission systems subject to fault level coverage," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 18-25.
    6. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2012. "Competing failure analysis in phased-mission systems with functional dependence in one of phases," Reliability Engineering and System Safety, Elsevier, vol. 108(C), pages 90-99.
    7. Xing, Liudong & Amari, Suprasad V. & Wang, Chaonan, 2012. "Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 45-50.
    8. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2017. "Redundancy optimization for series-parallel phased mission systems exposed to random shocks," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 554-560.
    9. 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.
    10. Wang, Guanjun & Peng, Rui & Xing, Liudong, 2018. "Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 191-197.
    11. Xing, Liudong & Levitin, Gregory, 2013. "BDD-based reliability evaluation of phased-mission systems with internal/external common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 145-153.
    12. Li, Xiang-Yu & Huang, Hong-Zhong & Li, Yan-Feng, 2018. "Reliability analysis of phased mission system with non-exponential and partially repairable components," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 119-127.

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