Systems Engineering and Electronics ›› 2026, Vol. 48 ›› Issue (3): 908-917.doi: 10.12305/j.issn.1001-506X.2026.03.17
• Systems Engineering • Previous Articles
Shihan TAN1,2, Quan SHI1,3,*, Qiwei HU1, Yongsheng BAI1, Dunxiang ZHU1,4, Fang ZHANG5, Peng KE2
Received:2024-08-29
Online:2026-03-25
Published:2026-04-13
Contact:
Quan SHI
CLC Number:
Shihan TAN, Quan SHI, Qiwei HU, Yongsheng BAI, Dunxiang ZHU, Fang ZHANG, Peng KE. Preventive maintenance policy optimization model of equipment considering multiple failure modes and multi-stage failure process[J]. Systems Engineering and Electronics, 2026, 48(3): 908-917.
Table 1
Related parameter settings"
| 参数 | 取值 | 参数 | 取值 | |
| 0.05,0.10 | 1,4,10 | |||
| 0.01,0.02 | 5,20,80,1 | |||
| 0.88 | ||||
| 0.005,0.01 | 0.93 | |||
| 60 |
Table 2
Comparison of different $ {\textit{a}}_{1} $ and $ {\textit{a}}_{2} $"
| 1, 0 | 31 | 0.895 5 | 0.895 5 | 0.766 5 |
| 0, −1 | 22 | 0.736 7 | 0.892 3 | 0.736 7 |
| 1, −1 | 23 | 0.155 9 | 0.893 1 | 0.737 2 |
| 1, −4 | 22 | −2.054 4 | 0.892 3 | 0.736 7 |
| 4, −1 | 24 | 2.836 3 | 0.893 7 | 0.738 7 |
| 1, −8 | 22 | −5.001 0 | 0.892 3 | 0.736 7 |
| 8, −1 | 26 | 6.413 5 | 0.894 7 | 0.744 0 |
| 1 |
董恩志, 程中华, 王荣财, 等. 考虑故障相关性的复杂二维保修装备机会维修策略[J]. 兵工学报, 2023, 44 (6): 1688- 1703.
doi: 10.12382/bgxb.2022.0101 |
|
DONG E Z, CHENG Z H, WANG R C, et al. Opportunistic maintenance strategy for complex two-dimensional warranty equipment considering failure correlation[J]. Acta Armamentarii, 2023, 44 (6): 1688- 1703.
doi: 10.12382/bgxb.2022.0101 |
|
| 2 |
吴巍屹, 贾云献, 史宪铭, 等. 基于任务演化重要度的合成部队维修器材两级配置优化方法[J]. 兵工学报, 2023, 44 (2): 591- 604.
doi: 10.12382/bgxb.2021.0701 |
|
WU W Y, JIA Y X, SHI X M, et al. Optimization of two-echelon configuration of maintenance supply for synthetic forces based on task evolution importance[J]. Acta Armamentarii, 2023, 44 (2): 591- 604.
doi: 10.12382/bgxb.2021.0701 |
|
| 3 | HU Q W, BAI Y S, ZHAO J M, et al. Modeling spare parts demands forecast under two-dimensional preventive maintenance policy[J]. Mathematical Problems in Engineering, 2015, 728241. |
| 4 |
WANG Y P, PHAM H. A multi-objective optimization of imperfect preventive maintenance policy for dependent competing risk systems with hidden failure[J]. IEEE Trans. on Reliability, 2011, 60 (4): 770- 781.
doi: 10.1109/TR.2011.2167779 |
| 5 |
QIU Q G, CUI L R. Reliability evaluation based on a dependent two-stage failure process with competing failures[J]. Applied Mathematical Modelling, 2018, 64, 699- 712.
doi: 10.1016/j.apm.2018.07.039 |
| 6 |
黎新龙, 冉琰, 张根保, 等. 考虑维修效果差异性的顺序预防性维修策略[J]. 上海交通大学学报, 2023, 57 (11): 1522- 1530.
doi: 10.16183/j.cnki.jsjtu.2022.023 |
|
LI X L, RAN Y, ZHANG G B, et al. Sequential preventive maintenance strategy considering difference of maintenance effect[J]. Journal of Shanghai Jiaotong University, 2023, 57 (11): 1522- 1530.
doi: 10.16183/j.cnki.jsjtu.2022.023 |
|
| 7 | CHRISTER A H. Innovative decision making[C]//Proc. of the NATO Conference on the Role and Effectiveness of Theories of Decision in Practice, 1976: 368-377. |
| 8 |
李冀晖, 黄锦敬, 崔春强. 基于延迟时间模型的船舶预防性机会维修策略[J]. 广东工业大学学报, 2023, 40 (1): 92- 99,136.
doi: 10.12052/gdutxb.220118 |
|
LI J H, HUANG J J, CUI C Q. Ship preventive opportunistic maintenance strategy based on delay time model[J]. Journal of Guangdong University of Technology, 2023, 40 (1): 92- 99,136.
doi: 10.12052/gdutxb.220118 |
|
| 9 |
刘葛辉, 陈绍宽, 金华, 等. 基于延迟时间模型的不完全检修计划优化模型[J]. 浙江大学学报(工学版), 2020, 54 (7): 1298- 1307.
doi: 10.3785/j.issn.1008-973X.2020.07.007 |
|
LIU G H, CHEN S K, JIN H, et al. Optimum imperfect inspection and maintenance scheduling model considering delay time theory[J]. Journal of Zhejiang University (Engineering Science), 2020, 54 (7): 1298- 1307.
doi: 10.3785/j.issn.1008-973X.2020.07.007 |
|
| 10 |
LI Y, YE Z S, LEE C G, et al. A two-phase preventive maintenance policy considering imperfect repair and postponed replacement[J]. European Journal of Operational Research, 2019, 274, 966- 977.
doi: 10.1016/j.ejor.2018.10.049 |
| 11 |
LIU G H, CHEN S K, JIN H, et al. Optimum opportunistic maintenance schedule incorporating delay time theory with imperfect maintenance[J]. Reliability Engineering & System Safety, 2021, 231, 107668.
doi: 10.1016/j.ress.2021.107668 |
| 12 | LV X L, LIU Q M, LI Z N, et al. A new maintenance optimization model based on three-stage time delay for series[J]. Shock and Vibration, 2021, 2021, 6694896. |
| 13 |
WANG W B. A joint spare part and maintenance inspection optimisation model using the delay-time concept[J]. Reliability Engineering & System Safety, 2011, 96, 151541.
doi: 10.1016/j.ress.2011.07.004 |
| 14 |
WANG Y K, LIU Y L, CHEN J Y, et al. Reliability and condition-based maintenance modeling for systems operating under performance-based contracting[J]. Computers & Industrial Engineering, 2020, 142, 106344.
doi: 10.1016/j.cie.2020.106344 |
| 15 |
CHA J H, MI J. On a stochastic survival model for a system under randomly variable environment[J]. Methodology and Computing in Applied Probability, 2011, 13, 549- 561.
doi: 10.1007/s11009-010-9171-1 |
| 16 |
王强, 贾希胜, 程中华, 等. 战时基于竞争失效的装备系统可靠性建模与预防性维修策略[J]. 系统工程与电子技术, 2019, 41 (10): 2392- 2400.
doi: 10.3969/j.issn.1001-506X.2019.10.32 |
|
WANG Q, JIA X S, CHENG Z H, et al. Reliability modeling and preventive maintenance strategy for equipment system based on competing failure processes in war[J]. Systems Engineering and Electronics, 2019, 41 (10): 2392- 2400.
doi: 10.3969/j.issn.1001-506X.2019.10.32 |
|
| 17 |
YANG L, MA X B, ZHAO Y. A condition-based maintenance model for a three-state system subject to degradation and environmental shocks[J]. Computers & Industrial Engineering, 2017, 105, 210- 222.
doi: 10.1016/j.cie.2017.01.012 |
| 18 |
JIANG L, FENG Q, COIT D W. Reliability and maintenance modeling for dependent competing failure processes with shiiring failure thresholds[J]. IEEE Trans. on Reliability, 2012, 61 (4): 932- 948.
doi: 10.1109/TR.2012.2221016 |
| 19 |
王强, 贾希胜, 程中华, 等. 随机共因失效条件下战时合成部队携行备件配置优化研究[J]. 兵工学报, 2019, 40 (5): 1083- 1092.
doi: 10.3969/j.issn.1000-1093.2019.05.022 |
|
WANG Q, JIA X S, CHENG Z H, et al. Allocation optimization of carrying spare parts for combined arms unit based on random common cause failure in wartime[J]. Acta Armamentarii, 2019, 40 (5): 1083- 1092.
doi: 10.3969/j.issn.1000-1093.2019.05.022 |
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