基于方向协同的可靠性冗余设计优化算法

doi:10.12305/j.issn.1001-506X.2025.06.17

Abstract

Abstract:

Reliability redundancy design optimization is one of the important methods to improve system reliability. An optimization algorithm based on directional collaboration on the basis of collaborative balance optimization algorithm is proposed, the concept of optimization direction is introduced, and the optimization process is updated in this paper. The proposed algorithm fully considers the impact of changes in redundant structures on the overall reliability, cost, quality, volume and energy consumption of the system, while significantly reducing computational complexity and achieving the optimization goal of complex system redundancy design more efficiently. Research results show that the reliability redundancy design optimization algorithm based on directional collaboration is suitable for various redundancy design optimization tasks and has the advantages of accurate results, good optimization effects and high efficiency.

Key words: reliability, redundancy design, optimization algorithm, optimization direction

CLC Number:

TB114.3

Chong HAN, Fuhai DUAN. Optimization algorithm for reliability redundancy design based on directional collaboration[J]. Systems Engineering and Electronics, 2025, 47(6): 1893-1898.

Figures/Tables 12

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References 31

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i	r_i	v_i	c_i/元	m_i	V₀/mm³	C₀/元	M₀/g
1	0.80	1	7	7	110	175	200
2	0.85	2	7	8	110	175	200
3	0.90	3	5	8	110	175	200
4	0.65	4	9	6	110	175	200
5	0.75	2	4	9	110	175	200

算法	优化冗余数	R_s	C_S/元	V_s/mm³	M_S/g
粒子群算法	[2, 3, 2, 3, 3]	0.892 4	146.12	88	195.53
一阶邻域启发式遗传算法	[3, 2, 2, 3, 3]	0.904 5	146.12	83	170.95
粒子群优化与修正后最优化冗余分配启发式算法-GAG1联合算法	[3, 2, 2, 3, 3]	0.904 5	146.12	83	170.95
方向协同优化算法	[3, 3, 2, 3, 4]	0.933 1	162.81	107	197.11

i	10⁵α_i	β_i	m_iv_i²	m_i	V₀/mm³	C₀/元	M₀/g	T/h
1	2.500	1.5	2	3.5	720	525	500	1 000
2	1.450	1.5	4	4.0	720	525	500	1 000
3	0.541	1.5	5	4.0	720	525	500	1 000
4	0.541	1.5	8	3.5	720	525	500	1 000
5	2.100	1.5	4	4.5	720	525	500	1 000

算法	初始样本	优化冗余数	计算样本数
平衡协同	[1, 1, 1, 1, 1]	[6, 4, 6, 5, 7]	1 701
优化算法	[3, 4, 8, 7, 3]	[6, 4, 6, 5, 7]	1 215
方向协同	[1, 1, 1, 1, 1]	[6, 4, 6, 5, 7]	854
优化算法	[3, 4, 8, 7, 3]	[6, 4, 6, 5, 7]	730

节点	含义	节点	含义	节点	含义	根节点
S₁¹	卫星系统	S₂¹	姿态控制系统	S₃¹	陀螺仪	P₁
				S₃²	传感器	P₂
				S₃³	反作用飞轮	P₃
		S₂²	电源系统	S₃⁴	电池	P₄
				S₃⁵	配电系统	P₅
				S₃⁶	太阳能电池阵	P₆
		S₂³	推进系统	—	—	P₁₀
		S₂⁴	有效载荷	S₃⁷	放大器	P₇
				S₃⁸	计算器	P₈
				S₃⁹	变换器	P₉
		S₂⁵	结构与机构	—	—	P₁₁
		S₂⁶	遥测跟踪系统	—	—	P₁₂

Optimization algorithm for reliability redundancy design based on directional collaboration

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根节点	c_j/美元	m_i/kg	R₀	M₀/kg	威布尔分布参数
根节点	c_j/美元	m_i/kg	R₀	M₀/kg	a/年	b
P₁	10 000	0.05	0.98	45	524	0.357 3
P₂	20 000	0.13	0.98	45	222	0.272 3
P₃	30 000	0.04	0.98	45	524	0.357 3
P₄	310 000	0.01	0.98	45	859	0.661 8
P₅	230 000	0.12	0.98	45	9 987	0.403 2
P₆	480 000	0.25	0.98	45	25 648	0.301 1
P₁₀	150 000	1.01	0.98	45	664	0.507 2
P₇	460 000	0.33	0.98	45	757	0.519 8
P₈	50 000	1.28	0.98	45	8 127	0.550 2
P₉	330 000	2.05	0.98	45	6 342	0.404 1
P₁₁	140 000	1.02	0.98	45	11 725	0.291 3
P₁₂	370 000	2.24	0.98	45	51 003	0.302 5

参数	约束	原方案	优化方案	ΔD/%
C_S×10⁶/美元	—	12.96	8.30	-35.96
M_S/kg	45	41.83	31.03	-25.82
R_s	0.98	0.978 6	0.990 1	1.18

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