Operation strategy optimization for warm standby system considering imperfect and periodic active switching

BAI Senyang, JIA Xiang, CHENG Zhijun, GUO Bo, ZHAO Qian

Systems Engineering - Theory & Practice ›› 2022, Vol. 42 ›› Issue (11) : 3054-3078.

PDF(1239 KB)
中国科学院数学与系统科学研究院期刊网
PDF(1239 KB)
Systems Engineering - Theory & Practice ›› 2022, Vol. 42 ›› Issue (11) : 3054-3078. DOI: 10.12011/SETP2021-1355

Operation strategy optimization for warm standby system considering imperfect and periodic active switching

  • BAI Senyang1, JIA Xiang1, CHENG Zhijun1, GUO Bo1, ZHAO Qian2
Author information +
History +

Abstract

Concerning the operation of standby systems in most ground systems, the standby units usually switch to the operating state after the active units fail, this strategy is referred to as the common switching strategy. However, a periodic switching strategy differing from this common strategy is employed for some critical subsystems of satellites on orbit in engineering. For this problem, this paper proposes an operation strategy optimization model for warm standby systems considering periodic active switching. The model comprehensively considers periodic switching and imperfect switching, and based on the virtual age theory, derives the reliability function and mean time to failure (MTTF) of the two-unit warm standby subsystem, which can be applied to units or systems with arbitrary time-to-failure distributions. Then, the optimal periodic switching interval is determined by maximizing the MTTF of the warm standby system. Finally, a numerical example of the gyroscope warm standby system under the Weibull distribution is presented to show the application of the model, and a sensitivity analysis is carried out to identify the useful conclusions.

Key words

warm standby system / periodic active switching / imperfect switching / reliability / optimization model

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
BAI Senyang , JIA Xiang , CHENG Zhijun , GUO Bo , ZHAO Qian. Operation strategy optimization for warm standby system considering imperfect and periodic active switching. Systems Engineering - Theory & Practice, 2022, 42(11): 3054-3078 https://doi.org/10.12011/SETP2021-1355

References

[1] Jia H, Peng R, Ding Y, et al. Reliability of demand-based warm standby system with common bus performance sharing[J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2018, 233(4): 580-592.
[2] Park C, Chae E, Shin D. Reliability analysis of hot-standby sparing system with common cause failures for railway[J]. Journal of the Korean Society for Railway, 2017, 20: 349-355.
[3] Patowary M, Panda G, Deka B C. Reliability modeling of Microgrid system using hybrid methods in hot standby mode[J]. IEEE Systems Journal, 2019, 13(3): 3111-3119.
[4] Rizwan S M, Khurana V, Taneja G. Reliability analysis of a hot standby industrial system[J]. International Journal of Modelling and Simulation, 2015, 30(3): 315-322.
[5] 董文杰, 刘思峰, 曹颖赛, 等. 同轨热备份GEO星座网络可靠性建模[J]. 系统工程理论与实践, 2019, 39(12): 3188-3196.Dong W J, Liu S F, Cao Y S, et al. Reliability modeling of GEO constellation network with hot backup satellite on the same track[J]. Systems Engineering — Theory & Practice, 2019, 39(12): 3188-3196.
[6] Levitin G, Xing L, Dai Y. Heterogeneous non-repairable warm standby systems with periodic inspections[J]. IEEE Transactions on Reliability, 2016, 65(1): 394-409.
[7] 张欣. 电站两辅助设备冷贮备系统的可靠性分析[J]. 系统工程理论与实践, 2013, 33(10): 2615-2622.Zhang X. Reliability analysis of the operator of two-different-units parallel repairable system[J]. Systems Engineering — Theory & Practice, 2013, 33(10): 2615-2622.
[8] 温艳清, 崔利荣, 刘宝亮. 修理工带休假的N部件冷贮备可修系统[J]. 北京航空航天大学学报, 2016, 42(3): 569-575. Wen Y Q, Cui L R, Liu B L. Cold standby N-component repairable system with repairman vacation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(3): 569-575.
[9] Mellal M A, Zio E. System reliability-redundancy optimization with cold-standby strategy by an enhanced nest cuckoo optimization algorithm[J]. Reliability Engineering & System Safety, 2020, 201: 106973.
[10] Wu H, Li Y, Bérenguer C. Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system[J]. Reliability Engineering & System Safety, 2020, 193: 106669.
[11] Jia H, Ding Y, Peng R, et al. Reliability assessment and activation sequence optimization of non-repairable multi-state generation systems considering warm standby[J]. Reliability Engineering & System Safety, 2020, 195: 106736.
[12] 唐应辉, 朱亚丽, 吴文青. 具有温储备失效的M/G/1可修排队系统[J]. 系统工程理论与实践, 2014, 34(4): 944-950.Tang Y H, Zhu Y L, Wu W Q. M/G/1 repairable queueing system with warm standby failure[J]. Systems Engineering — Theory & Practice, 2014, 34(4): 944-950.
[13] 金海波, 赵欣越, 桑雨. 双贮备系统冷/温/热贮备模型的优化选择研究[J]. 自动化学报, 2020, 46: 1-16. Jin H B, Zhao X Y, Sang Y. Research on optimal selection for cold/warm/hot-standby patterns of dual-standby systems[J]. ACTA Automatica Sinica, 2020, 46: 1-16.
[14] Levitin G, Xing L, Dai Y. Reliability and mission cost of 1-out-of-N: G systems with state-dependent standby mode transfers[J]. IEEE Transactions on Reliability, 2015, 64(1): 454-462.
[15] Levitin G, Xing L, Dai Y. Mission cost and reliability of 1-out-of-N warm standby systems with imperfect switching mechanisms[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2014, 44(9): 1262-1271.
[16] Kim H. Optimal reliability design of a system with k-out-of-n subsystems considering redundancy strategies[J]. Reliability Engineering & System Safety, 2017, 167: 572-582.
[17] Sheu S, Liu T, Tsai H, et al. Optimization issues in k-out-of-n systems[J]. Applied Mathematical Modelling, 2019, 73: 563-580.
[18] 杨天社, 金光, 樊恒海, 等. 卫星在轨状态检测与健康管理技术[M]. 北京: 国防工业出版社, 2019: 226-228.Yang T S, Jin G, Fan H H, et al. On-Orbit satellite state detection and health management technology[M]. Beijing: National Defense Industry Press, 2019: 226-228.
[19] Jiang Y, Chen M, Zhou D. Condition-based switching and replacement policies for a two-unit warm standby redundant system subject to non-instantaneous switchover[J]. Chinese Science Bulletin, 2014, 59(33): 4616-4624.
[20] Ma X, Liu B, Yang L, et al. Reliability analysis and condition-based maintenance optimization for a warm standby cooling system[J]. Reliability Engineering & System Safety, 2020, 193: 106588.
[21] Seo J H, Jang J S, Bai D S. Lifetime and reliability estimation of repairable redundant system subject to periodic alternation[J]. Reliability Engineering & System Safety, 2003, 80(2): 197-204.
[22] Behboudi Z, Mohtashami Borzadaran G R, Asadi M. Reliability modeling of two-unit cold standby systems: A periodic switching approach[J]. Applied Mathematical Modelling, 2021, 92: 176-195.
[23] Finkelstein M S. On some optimal switching strategies[J]. ORiON, 2013, 17(1): 1-11.
[24] Finkelstein M. On systems with shared resources and optimal switching strategies[J]. Reliability Engineering & System Safety, 2009, 94(8): 1358-1362.
[25] Jia X, Chen H, Cheng Z, et al. A comparison between two switching policies for two-unit standby system[J]. Reliability Engineering & System Safety, 2016, 148: 109-118.
[26] Pakdaman Z, Ahmadi J. Switching time of the standby component to the k-out-of-n: G system in the stress-strength setup[J]. Metrika, 2019, 82(2): 225-248.
[27] Finkelstein M, Hazra N K, Cha J H. On optimal operational sequence of components in a warm standby system[J]. Journal of Applied Probability, 2018, 55(4): 1014-1024.
[28] Li X, Fang R, Mi J. On the timing to switch on the standby in k-out-of-n: G redundant systems[J]. Statistics & Probability Letters, 2015, 96: 10-20.
[29] Levitin G, Xing L, Haim H B, et al. Optimal structure of series system with 1-out-of-n warm standby subsystems performing operation and rescue functions[J]. Reliability Engineering & System Safety, 2019, 188: 523-531.
[30] Finkelstein M. On statistical and information-based virtual age of degrading systems[J]. Reliability Engineering & System Safety, 2007, 92(5): 676-681.
[31] Kay R, Kinnersley N. On the use of the accelerated failure time model as an alternative to the proportional hazards model in the treatment of time to event data: A case study in influenza[J]. Drug Information Journal, 2002, 36(3): 571-579.
[32] Huang P, Guo S B. A reliability assessment method of fiber optic gyro[J]. Advanced Materials Research, 2013, 760-762: 152-156.
[33] Cha J H, Mi J, Yun W Y. Modelling a general standby system and evaluation of its performance[J]. Applied Stochastic Models in Business and Industry, 2008, 24(2): 159-169.

Funding

National Natural Science Foundation of China (71801219, 72071208); Hunan Provincial Natural Science Foundation of China for Excellent Young Scholars (2021JJ20050)
PDF(1239 KB)

461

Accesses

0

Citation

Detail
Sections
Recommended

/

〈 〉