考虑混合维修策略的复杂系统区间可用度

doi:10.3969/j.issn.1001-506X.2020.05.29

Abstract

Abstract:

The Markov process method can only calculate the system availability when the failure time and the maintenance time obey exponential distribution, and the renew process can only calculate the system availability with the limitation that the failure time and the maintenance time obey independent identical distribution. In addition, the existing availability model does not consider the effect of multiple maintenance strategies and environmental factors simultaneously. A system availability model for the complex system under the mixed maintenance strategy is presented, which assumes that the system failure and maintenance time can be arbitrarily distributed, and different failure modes can take different maintenance strategies. Specifically, when calculating the system downtime for the system, the preventive maintenance, corrective maintenance time and delay time are all considered. Then the proposed method is verified by taking an UAV control system as an example. The key components of the system obey Weibull distribution with different parameters, and the system maintenance time and delay time obey the normal distribution. The results show that the proposed method is feasible and correct, and can be used to optimize the preventive maintenance period and the design of the general quality characteristics indicator threshold, as well as performance trade-offs based on availability.

Key words: availability, reliability, imperfect maintenance, preventive maintenance

CLC Number:

Junliang LI, Huayuan ZHU, Liming WANG, Lingzhi WANG. Interval availability for complex system based on mixed maintenance strategy[J]. Systems Engineering and Electronics, 2020, 42(5): 1190-1196.

Figures/Tables 8

Fig.1

Table 1

Fig.2

Fig.3

Fig.4

Table 2

Fig.5

Fig.6

References 31

1	赛义德A.赛义德.可靠性工程[M].杨舟,译.北京:电子工业出版社, 2013: 14-18.
	ELSAYED A E. Reliability engineering[M]. YANG Z, Trans. Beijing: Publishing House of Electronics Industry, 2013: 14-18.
2	曹晋华, 程侃. 可靠性数学引论(修订版)[M]. 2版北京: 高等教育出版社, 2012: 182- 310.
	CAO J H , CHENG K . A mathematical introduction to reliability[M]. 2nd ed Beijing: Higher Education Press, 2012: 182- 310.
3	王蕴, 王乃超, 马麟, 等. 考虑备件约束的多部件串联系统使用可用度计算方法[J]. 航空学报, 2015, 36 (4): 1951- 1201.
	WANG Y , WANG N C , MA L , et al. Operational availability calculation methods of various series systems under the constraint of spare parts[J]. Acta Aeronautica et Astronauticas Sinica, 2015, 36 (4): 1951- 1201.
4	史跃东, 金家善, 徐一帆. 基于发生函数的模糊多状态复杂系统可靠性通用评估方法[J]. 系统工程与电子技术, 2018, 40 (1): 238- 244.
	SHI Y D , JIN J S , XU Y F . Universal reliability assement method for fuzzy multi-state complex technical system based on generating function[J]. Systems Engineering and Electronics, 2018, 40 (1): 238- 244.
5	李军亮, 滕克难, 夏菲. 一种复杂可修系统的可用度计算方法[J]. 航空学报, 2017, 38 (12): 145- 153.
	LI J L , TENG K N , XIA F . An availability calculation method for complex repairable systems[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38 (12): 145- 153.
6	王立超, 杨懿, 于永利. 基于系统可用度的匹配问题的分析[J]. 系统工程学报, 2009, 24 (2): 253- 256.
	WANG L C , YANG Y , YU Y L . Analysis of matchable problems based on system availability[J]. Journal of Systems Engineering, 2009, 24 (2): 253- 256.
7	杨懿, 王立超, 邹云. 考虑预防性维修的离散时间单部件系统的可用度模型[J]. 航空学报, 2009, 30 (1): 68- 71. doi: 10.3321/j.issn:1000-6893.2009.01.010
	YANG Y , WANG L C , ZOU Y . Availability model of one unit discrete time system with preventive maintenance[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30 (1): 68- 71. doi: 10.3321/j.issn:1000-6893.2009.01.010
8	任思超, 杨懿, 陈洋, 等. 故障小修下瞬时可用度的波动分析[J]. 北京航空航天大学学报, 2017, 43 (3): 602- 607.
	REN S C , YANG Y , CHEN Y , et al. Fluctuation analysis of instantaneous availability under minor repair[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43 (3): 602- 607.
9	杨懿, 任思超, 于永利. 均匀分布下系统瞬时可用度理论分析[J]. 北京航空航天大学学报, 2016, 42 (1): 28- 34.
	YANG Y , REN S C , YU Y L . Theory analysis of system instantaneous availability under uniform distribution[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42 (1): 28- 34.
10	DIJKHUIZEN G V , HEIJDEN M V D . Preventive maintenance and the interval availability distribution of an unreliable production system[J]. Reliability Engineering and System Safety, 1999, 66 (1): 13- 27. doi: 10.1016/S0951-8320(99)00013-7
11	李军亮, 滕克难, 李保刚, 等. 任务准备期内的军用飞机瞬时可用度研究[J]. 北京航空航天大学学报, 2017, 34 (4): 754- 760.
	LI J L , TENG K N , LI B G , et al. Instantaneous availability of military aircraft during mission preparation period[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 34 (4): 754- 760.
12	QIU Q G , CUI L R . Gamma process based optimal mission abort policy[J]. Reliability Engineering and System Safety, 2019, 190, 106496.
13	LEVITIN G . A universal generating function approach for the analysis of multi-state systems with dependent elements[J]. Reliability Engineering and System Safety, 2004, 84 (3): 285- 292. doi: 10.1016/j.ress.2003.12.002
14	DING Y , LISNIANSKI A . Fuzzy universal generating functions for multi-state system reliability assessment[J]. Fuzzy Sets and Systems, 2008, 159 (3): 307- 324. doi: 10.1016/j.fss.2007.06.004
15	LISNIANSKI A , ELMAKIAS D , LAREDO D , et al. A multi-state Markov model for a short-term reliability analysis of a power generating unit[J]. Reliability Engineering and System Safety, 2012, 98 (1): 1- 6. doi: 10.1016/j.ress.2011.10.008
16	潘刚, 尚朝轩, 蔡金燕, 等. 基于机会策略的多态系统视情更换决策[J]. 北京航空航天大学学报, 2017, 43 (2): 319- 327.
	PAN G , SHANG C X , CAI J Y , et al. Condition-based change decision for multi-state system based on opportunistic policy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43 (2): 319- 327.
17	潘刚, 尚朝轩, 蔡金燕, 等. 基于Semi-Markov模型的多态系统不完全维修决策[J]. 航空学报, 2017, 38 (2): 195- 209.
	PAN G , SHANG C X , CAI J Y , et al. Imperfect maintenance decision for multi-state system based on semi-Markov model[J]. Acta Aeronautical et Astronautical Sinica, 2017, 38 (2): 195- 209.
18	BROWN M , PROSCHAN F . Imperfect repair[J]. Journal of Applied Probability, 1983, 20 (4): 851- 859. doi: 10.2307/3213596
19	JYOTIRMOY S , SAHADEB S . Availability of a periodically inspected system under perfect repair[J]. Journal of Statistical Planning and Inference, 2000, 91 (1): 77- 90. doi: 10.1016/S0378-3758(00)00128-2
20	JYOTIRMOY S , SAHADEB S . Availability of a periodically inspected system supported by a spare unit, under perfect repair or perfect upgrade[J]. Statistics & Probability Letters, 2001, 53 (2): 207- 217.
21	LI J L , CHEN Y L , ZHANG Y . Availability modeling for periodically inspection system with different lifetime and repair-time distribution[J]. Chinese Journal of Aeronautics, 2019, 32 (7): 1667- 1672. doi: 10.1016/j.cja.2019.03.025
22	LIU Q G , CUI L R , GAO H D . Availability and maintenance modelling for systems subject to multiple failure modes[J]. Computers & Industrial Engineering, 2017, 108, 192- 198.
23	TAGHIPOUR S , BANJEVIC D , JARDINE A K S . Periodic inspection optimization model for a complex repairable system[J]. Reliability Engineering and System Safety, 2010, 95, 944- 952. doi: 10.1016/j.ress.2010.04.003
24	谭林, 程志君, 郭波. 考虑不完全维修的可修串联系统可用度模型[J]. 国防科技大学学报, 2009, 31 (6): 100- 105. doi: 10.3969/j.issn.1001-2486.2009.06.019
	TAN L , CHENG Z J , GUO B . Availability of series repairable systems under imperfect repair[J]. Journal of National University of Defense Technology, 2009, 31 (6): 100- 105. doi: 10.3969/j.issn.1001-2486.2009.06.019
25	葛恩顺, 李庆民, 张光宇, 等. 考虑不完全维修的劣化系统最优视情维修策略[J]. 航空学报, 2013, 34 (2): 316- 324.
	GE E S , LI Q M , ZHANG G Y , et al. Optimazation of considtion-based maintenance for degradation system under imperfect maintenance[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34 (2): 316- 324.
26	徐宗昌, 郭建, 张文俊. 复杂可修装备维修策略优化研究综述[J]. 计算机测量与控制, 2018, 26 (12): 1- 5.
	XU Z C , GUO J , ZHANG W J . An overview of complex repairable equipment decision optimization research[J]. Computer Measurement & Control, 2018, 26 (12): 1- 5.
27	李志强, 徐廷学, 顾钧元. 考虑老化因素的串联系统不完全维修决策优化[J]. 控制与决策, 2019, 34 (4): 827- 832.
	LI Z Q , XU T X , GU J Y . Optimal maintenance policies for series systems under imperfect repair considering aging factor[J]. Control and Decision, 2019, 34 (4): 827- 832.
28	TSAIA Y T , WANGB K S , TSAI L C . A study of availability-centered preventive maintenance for multi-component systems[J]. Reliability Engineering and System Safety, 2004, 84, 261- 270. doi: 10.1016/j.ress.2003.11.011
29	杨奕飞, 戴跃伟, 冯静. 考虑环境因素的包装机械动力衰退演化规则及多目标决策[J]. 包装工程, 2019, 40 (3): 186- 192.
	YANG Y F , DAI Y W , FENG J . Recession evolution rules and multi-objective decision-making of packaging machinery power machines considering environment factors[J]. Packing Engineering, 2019, 40 (3): 186- 192.
30	TSAI Y T , WANG K S , TENG H Y . Optimizing preventive maintenance for mechanical components using genetic algorithms[J]. Reliability Engineering and System Safety, 2001, 74 (1): 89- 97. doi: 10.1016/S0951-8320(01)00065-5
31	LIN Z L , HUANG Y S , FANG C C . Non-periodic preventive maintenance with reliability thresholds for complex repairable systems[J]. Reliability Engineering and System Safety, 2015, 136, 145- 156. doi: 10.1016/j.ress.2014.12.010

部件	θ_i	β_i
1	1 300	1.8
2	2 400	2.5
3	2 600	3.2
4	3 800	3.1
5	2 000	3.1

周期	可用时间/h	不可用时间/h	系统可用度
1	194.773 7	15.226 3	0.927 4
2	198.548 0	11.452 0	0.945 5
3	197.200 0	12.800 0	0.930 9
4	194.791 0	15.209 0	0.927 6
5	190.905 1	19.094 9	0.909 1
6	185.372 4	24.627 6	0.882 7
7	178.301 6	31.698 4	0.849 1
8	170.100 7	39.893 3	0.810 0
9	161.428 4	48.571 6	0.768 7
10	153.061 5	56.938 5	0.728 9
11	145.711 8	64.288 2	0.693 9
12	139.855 5	70.144 5	0.660 0
13	135.646 3	74.356 3	0.645 9
14	132.925 1	77.074 9	0.633 0
15	131.360 4	78.639 6	0.625 5
16	130.562 8	79.437 2	0.621 7
17	130.205 3	79.794 7	0.620 0
18	130.065 5	79.065 5	0.619 4
19	130.081 7	79.981 9	0.619 1
20	130.004 3	79.995 7	0.618 9

[1]	Jianfeng YANG, Heye XIAO, Liang LI, Junqiang BAI, Weihao DONG. Multi-level module partition method of UAV based on fuzzy clustering and expert scoring mechanism [J]. Systems Engineering and Electronics, 2022, 44(8): 2530-2539.
[2]	Jie ZHU, Ning HUANG, Liang CHENG. Multi-parameter sensitivity analysis of network function virtualization application availability [J]. Systems Engineering and Electronics, 2022, 44(8): 2677-2687.
[3]	Enzhi DONG, Zhonghua CHENG, Rongcai WANG. Combined maintenance strategy of complex two-dimensional warranty equipment considering economic dependence [J]. Systems Engineering and Electronics, 2022, 44(7): 2219-2228.
[4]	Tingchun HU, Yufeng SUN, Xiaoxiao LI, Guangyan ZHAO. Solution of reliability of cold standby voting system with arbitrary distribution [J]. Systems Engineering and Electronics, 2022, 44(7): 2357-2363.
[5]	Yao TAN, Qian ZHAO, Wenfeng WANG, Bo GUO, Ping JIANG. Type I censored reliability acceptence test plan for Weibull distributed products by considering expert information [J]. Systems Engineering and Electronics, 2022, 44(4): 1409-1416.
[6]	Weining MA, Qiwei HU, Zhiyuan YANG. Maintenance decision model of equipment multi-component systems with degradation dependence [J]. Systems Engineering and Electronics, 2022, 44(4): 1424-1432.
[7]	Han YANG, Haowei WANG, Qingrong LI, Min CHEN, Bo PENG. Application research of creep life model based on belief reliability theory [J]. Systems Engineering and Electronics, 2022, 44(3): 1044-1051.
[8]	Yifan LI, Huaming QIAN, Hongzhong HUANG, Tingyu ZHANG, Tudi HUANG. Reliability analysis of command and control network system based on generalized continuous time Bayesian network [J]. Systems Engineering and Electronics, 2022, 44(12): 3880-3886.
[9]	Peng WANG, Zijing SUN, Fan ZHANG, Guosong XIAO. Reliability analysis model for phased-mission system considering probabilistic common cause failures [J]. Systems Engineering and Electronics, 2022, 44(12): 3887-3898.
[10]	Yuedong SHI, Jiashan JIN, Kai CHAI. Multi-state reliability fast evaluation algorithm for large-scale complex system [J]. Systems Engineering and Electronics, 2022, 44(10): 3282-3290.
[11]	Zhicong CHEN, Rui KANG, Tianpei ZU, Qingyuan ZHANG. Belief reliability allocation method based on technology readiness [J]. Systems Engineering and Electronics, 2022, 44(1): 327-337.
[12]	Yunxiang CHEN, Jingfeng LI, Huachun XIANG, Hengnian LI. A CBM optimization model for mission-oriented system based on inverse Gaussian degradation process [J]. Systems Engineering and Electronics, 2022, 44(1): 338-346.
[13]	Zhiwei CHEN, Jing WANG, Changchao GU, Jianchun ZHANG, Jilong ZHONG. Performance availability and resilience analysis of weapon system of systems considering dynamic reconfiguration [J]. Systems Engineering and Electronics, 2021, 43(8): 2347-2354.
[14]	Haojie YANG, Jianwei LYU, Yifan XU. Simulation assessment method for multi-state system reliability and mission success probability considering time-dependent faults [J]. Systems Engineering and Electronics, 2021, 43(8): 2362-2372.
[15]	Bin ZENG, Yuanyuan CHEN, Houpu LI. Launch scheduling optimization considering availability of maintenance equipment for carrier aircraft [J]. Systems Engineering and Electronics, 2021, 43(7): 1856-1865.

Interval availability for complex system based on mixed maintenance strategy

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 8

References 31

Related Articles 15

Recommended Articles

Metrics

Comments