基于协同平衡的可靠性冗余设计优化算法

doi:10.12305/j.issn.1001-506X.2023.12.39

Abstract

Abstract:

Reliability redundancy design optimization is one of the focuses of aerospace equipment research and development work. Based on the optimization of system reliability balance, this article proposes a new concept of collaborative balance, which utilizes unit collaborative changes to further optimize the reliability redundancy design of complex systems. The proposed algorithm fully considers the impact of changes in redundant units on performance parameters such as reliability, cost, volume, quality, and power consumption of complex systems, and can solve various reliability redundancy design optimization problems. The calculation results show that the reliability redundancy design optimization algorithm based on unit collaborative balance can effectively achieve the optimization goal of reliability redundancy design, with the advantages of low computational cost and high efficiency.

Key words: carrier rocket, electrical system, reliability, redundancy design, multi-objective optimization

CLC Number:

TB114.3

Hongzhou ZHAI, Hua ZHANG, Linna WU, Hequn BU, Kaixiang GONG. Optimization algorithm for reliability redundancy design based on collaborative balance[J]. Systems Engineering and Electronics, 2023, 45(12): 4084-4089.

Figures/Tables 12

Fig.1

Fig.2

Table 1

Fig.3

Table 2

Table 3

Fig.4

Table 4

Table 5

Fig.5

Table 6

Table 7

References 26

1	FRANGOPOL D M , MAUTE K .Life-cycle reliability-based optimization of civil and aerospace structures[J].Computers and Structures,2003,81(7):397-410. doi: 10.1016/S0045-7949(03)00020-8
2	CHOI J H , KIM N H , KOGISO N .Reliability for aerospace systems: methods and applications[J].Advances in Mechanical Engineering,2016,8(11):1-10.
3	BUSHNELL D M, MOSES R W. Reliability, safety, and performance for two aerospace revolutions-UAS/ODM and commercial deep space[R]. Hampton, Virginia: Langley Research Center, 2019.
4	MILLER D W, UEBELHART S A, BLAUROCK C. Perfor-mance and reliability optimization for aerospace systems subject to uncertainty and degradation[R]. Massachusetts: MIT Space Systems Laboratory, 2004.
5	SONG Z Y , PAN H , ZHAO Y X , et al.Reviews and challenges in reliability design of long march launcher control systems[J].AIAA Journal,2022,60(2):537-550. doi: 10.2514/1.J060640
6	RAOUF N , POURTAKDOUST S H .Launch vehicle multi-objective reliability-redundancy optimization using a hybrid genetic algorithm-particle swarm optimization[J].Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering,2015,229(10):1785-1797. doi: 10.1177/0954410014560381
7	OUZINEB M , NOURELFATH M , GENDREAU M .An efficient heuristic for reliability design optimization problems[J].Computers and Operation Research,2010,37(2):223-235. doi: 10.1016/j.cor.2009.04.011
8	GOPAL K , AGGARWAL K K , GUPTA J S .An improved algorithm for reliability optimization[J].IEEE Trans.on Reliability,1978,27(5):325-328.
9	AGGARWAL K K .Redundancy optimization in general systems[J].IEEE Trans.on Reliability,1976,25(5):330-332.
10	EHSAN V , ELHAM V .A cuckoo search algorithm by Lévy flights for solving reliability redundancy allocation problems[J].Engineering Optimization,2013,45(11):1273-1286. doi: 10.1080/0305215X.2012.729055
11	YEH W C , ZHU W , TAN S Y , et al.Novel general active reliability redundancy allocation problems and algorithm[J].Reliability Engineering and System Safety,2022,218,108167. doi: 10.1016/j.ress.2021.108167
12	BUSACCA P G , MARSEGUERRA M , ZIO E .Multiobjective optimization by genetic algorithms: application to safety systems[J].Reliability Engineering and System Safety,2001,72,59-74. doi: 10.1016/S0951-8320(00)00109-5
13	MARTORELL S , SANCHEZ A , CARLOS S , et al.Alternatives and challenges in optimizing industrial safety using genetic algorithms[J].Reliability Engineering and System Safety,2004,86,25-38. doi: 10.1016/j.ress.2003.12.010
14	ABOUEI M , TAGHI M .Multi-objective optimization of reliability-redundancy allocation problem with cold-standby strategy using NSGA-Ⅱ[J].Reliability Engineering and System Safety,2018,172,225-238. doi: 10.1016/j.ress.2017.12.019
15	赵志草, 宋保维, 杜喜昭.可靠性冗余优化设计算法研究[J].机械设计,2014,31(4):1-3, 10.
	ZHAO Z C , SONG B W , DU X Z .Research of algorithm for reliability redundancy optimization design[J].Journal of Machine Design,2014,31(4):1-3, 10.
16	COELHO L D S .An efficient particle swarm approach for mixed-integer programming in reliability-redundancy optimization applications[J].Reliability Engineering and System Safety,2009,94,830-837. doi: 10.1016/j.ress.2008.09.001
17	WU P F , GAO L Q , ZOU D X , et al.An improved particle swarm optimization algorithm for reliability problems[J].ISA Transactions,2011,50(1):71-81. doi: 10.1016/j.isatra.2010.08.005
18	张磊, 扈延光, 江雅婷, 等. 基于蚁群优化的可靠性冗余分配模型及实现[C]//中国航空学会2007学术年会, 2007: 535-541.
	ZHANG L, HU Y G, JIANG Y T, et al. Reliability redundancy allocation model and implementation based on ant colony optimization[C]//Proc. of the Academic Annual Meeting of the Chinese Aviation Society, 2007: 535-541.
19	CHEBBO N , SAMROUT M , YALAOUI F , et al.New methods to minimize the preventive maintenance cost of series-parallel systems using ant colony optimization[J].Reliability Engineering and System Safety,2005,89,346-354. doi: 10.1016/j.ress.2004.09.005
20	杜海东, 曹军海, 吴纬, 等.基于仿真的复杂系统可靠性冗余分配优化设计[J].系统仿真学报,2016,28(3):648-653.
	DU H D , CAO J H , WU W , et al.Redundancy allocation optimization design for complex system based on simulation[J].Journal of System Simulation,2016,28(3):648-653.
21	WANG W , LIN M Q , FU Y L , et al.Multi-objective optimization of reliability-redundancy allocation problem for multi-type production systems considering redundancy strategies[J].Reliability Engineering and System Safety,2020,193,106681. doi: 10.1016/j.ress.2019.106681
22	MANECKSHAW B , MAHAPATRA G S .Multi-objective evolutionary algorithm on reliability redundancy allocation with interval alternatives for system parameters[J].Neural Computing and Applications,2022,34(21):18595-18609. doi: 10.1007/s00521-022-07459-z
23	DINGHUA S .A new heuristic algorithm for constrained redundancy optimization in complex systems[J].IEEE Trans.on Reliability,1987,36(5):621-623.
24	赵建民.复杂系统可靠性冗余的平衡优化方法[J].机械强度,2000,22(4):283-285.
	ZHAO J M .Balance method of optimal redundancy in complex systems[J].Journal of Mechanical Strength,2000,22(4):283-285.
25	黎放, 朱承, 王威.冗余系统费用模型及优化[J].系统工程与电子技术,2000,22(9):84-89.
	LI F , ZHU C , WANG W .Cost models and optimization of redundant system[J].Systems Engineering and Electronics,2000,22(9):84-89.
26	MUHURI P K , NATH R .A novel evolutionary algorithmic solution approach for bilevel reliability-redundancy allocation problem[J].Reliability Engineering and System Safety,2019,191,106531.

样本序号	第1个子系统	第2个子系统	…	第i个子系统	…	第n个子系统
第1种	-1	-1	…	-1	…	-1
第2种	-1	-1	…	-1	…	0
第3种	-1	-1	…	-1	…	1
⋮	⋮	⋮	⋮	⋮	⋮	⋮
第3ⁿ－2种	1	1	…	1	…	-1
第3ⁿ－1种	1	1	…	1	…	0
第3ⁿ种	1	1	…	1	…	1

参数	子系统
参数	i=1	i=2	i=3	i=4	i=5
单元可靠性	0.70	0.85	0.75	0.80	0.90
单元费用	2	3	2	3	1

计算算法	初始冗余数	优化冗余数	系统可靠度	系统费用/元
一般平衡优化算法^[24]	3, 2, 2, 2, 2	3, 2, 2, 1, 1	0.993 2	20
协同平衡优化算法	3, 2, 2, 2, 2	1, 2, 3, 1, 2	0.990 3	19
	1, 1, 1, 1, 1	1, 2, 3, 1, 2	0.990 3	19
	5, 5, 5, 5, 5	1, 2, 3, 1, 2	0.990 3	19

i	r_i	c_i	C₀	p_i	P₀	w_i	W₀
1	0.80	7	175	1	110	7	200
2	0.85	7	175	2	110	8	200
3	0.90	5	175	3	110	8	200
4	0.65	9	175	4	110	6	200
5	0.75	4	175	2	110	9	200

计算算法	优化冗余数	系统可靠度	系统成本/元	系统体积/mm³	系统质量/g
一阶领域启发式遗传算法^[15]	3, 2, 2, 3, 3	0.904 5	146.12	83	170.95
一阶领域启发式遗传算法与粒子群优化算法的联合算法^[15]	3, 2, 2, 3, 3	0.904 5	146.12	83	170.95
协同平衡优化算法	3, 3, 2, 3, 4	0.933 1	162.81	107	197.11

Optimization algorithm for reliability redundancy design based on collaborative balance

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 12

References 26

Related Articles 15

Recommended Articles

Metrics

Comments

序号	元器件	单元失效率(10^-6/h)	单元可靠度	费用/元
1	继电器	5.351 00	0.999 987 2	8.00
2	电阻	0.008 18	0.999 999 9	0.36
3	二极管	0.084 90	0.999 999 8	1.25
4	电连接器	0.059 00	0.999 999 9	1.20

序号	子系统	初始冗余数量	优化冗余数量
1	继电器K1	3	2
2	继电器K2	3	2
3	电阻R1	2	1
4	电阻R2	2	1
5	电阻R3	1	1
6	电阻R4	1	1
7	二极管V1	2	1
8	二极管V2	2	1
9	二极管V3	2	1
10	二极管V4	2	1
11	二极管V5	1	1
12	二极管V6	1	1
13	二极管V7	1	1
14	二极管V8	1	1
15	二极管V9	1	1
16	二极管V10	1	1
17	二极管V11	1	1
18	二极管V12	1	1
19	电连接器YKA	1	1
20	电连接器YKP	1	1
21	电连接器YKT	1	1

[1]	Xiaogang QI, Yutong ZHOU, Lifang LIU. Evaluation of the reliability of UAV swarm for ground combat missions [J]. Systems Engineering and Electronics, 2023, 45(9): 2971-2978.
[2]	Hongjun ZHANG, Baiqiao HUANG, Tian BAI. Adaptive mechanism construction and evaluation method of complex engineering SoS [J]. Systems Engineering and Electronics, 2023, 45(8): 2325-2331.
[3]	Liyao WANG, Jin ZHANG, Hongxi ZHOU, Kemao WANG. Planning of multi-station accessing multi-satellite based on physical planning [J]. Systems Engineering and Electronics, 2023, 45(8): 2514-2520.
[4]	Ying ZENG, Yanfeng LI, Hongyi WANG, Huaming QIAN, Hongzhong HUANG. Reliability analysis of industrial robot driver combining MRGP and PSO [J]. Systems Engineering and Electronics, 2023, 45(8): 2643-2650.
[5]	Xiangyu LI, Hongzhong HUANG, Xiaoyan XIONG. Reliability modeling of phased mission system considering shocks and phase backups [J]. Systems Engineering and Electronics, 2023, 45(7): 2280-2286.
[6]	Yanqiu HE, Youyuan WANG, Liping HE. Bootstrap estimation method of confidence interval for long-life product reliability based on maximum information entropy [J]. Systems Engineering and Electronics, 2023, 45(6): 1880-1892.
[7]	Jiang LI, Hecheng WU, Chen ZHU. Reliability assessment of long-life products based on semi-parametric degradation model [J]. Systems Engineering and Electronics, 2023, 45(6): 1893-1901.
[8]	Weining MA, Qiwei HU, Wenbin CAO, Xisheng JIA. Equipment selective maintenance decision optimization considering maintenance task assignment [J]. Systems Engineering and Electronics, 2023, 45(6): 1902-1910.
[9]	Yi XIONG, Sifeng LIU, Zhigeng FANG, Shujun NAN, Jingru ZHANG, Ruirui SHAO. RMS model for availability evaluation of maritime satellite earth station [J]. Systems Engineering and Electronics, 2023, 45(5): 1570-1579.
[10]	Junliang LI, Huayuan ZHU, Zheng WANG, Liming WANG, Xinlei ZHANG. Reliability modeling of airborne products based on mixed Gamma distribution [J]. Systems Engineering and Electronics, 2023, 45(2): 614-620.
[11]	Wenwen ZHAO, Xiangru MENG, Qiaoyan KANG, Yong YANG. A two-stage controller balanced deployment strategy based on inter-domain efficiency priority [J]. Systems Engineering and Electronics, 2023, 45(12): 4052-4063.
[12]	Xiaofeng XUE, Guangduo XU, Yunwen FENG, Jiaqi LIU, Tao GAO, Shixi GUO, Wei ZHANG. Design of temperature stepping enhancement test profile based on component derating design [J]. Systems Engineering and Electronics, 2023, 45(12): 4073-4083.
[13]	Dian ZHANG, Yunyan XING, Ping JIANG. Reliability qualification test plan based on reliability growth [J]. Systems Engineering and Electronics, 2023, 45(11): 3699-3705.
[14]	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.
[15]	Shiying YAN, Kefei YAN, Wei FANG, Hengyang LU. Large-scale multi-objective algorithm based on neighborhood adaptive of differential evolution [J]. Systems Engineering and Electronics, 2022, 44(7): 2112-2124.