基于节点重要度与改进信息熵的装备体系效能评估方法研究

doi:10.12305/j.issn.1001-506X.2021.12.24

Abstract

Abstract:

Aiming at the problem of not fully considering the heterogeneity of nodes in the equipment system network modeling process, a system effectiveness evaluation method based on node importance and improved information entropy is proposed. Firstly, the equipment system of system network model based on the operation loop theory and equipment layering method is buit. Secondly, the importance of nodes is comprehensively evaluated from the three aspects of the overall network, the network part, and the integrity of the equipment in wartime. Finally, based on the node weights and the number of node participation operation loop, a combat effectiveness evaluation model with improved information entropy is constructed. The bombing of the enemy's rear base combat system was analyzed as an example to verify the feasibility and rationality of the method.

Key words: operation system of system, operation loop, interpretation structure model, fuzzy evaluation, information entropy

CLC Number:

N936

Dongtao WEI, Xiaodong LIU, Peng LI, Yujin CHEN. Research on effectiveness evaluation method of equipment system based on node importance and improved information entropy[J]. Systems Engineering and Electronics, 2021, 43(12): 3614-3623.

Figures/Tables 14

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References 17

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i、j重要性比较	取值
相同	c_ij=c_ji=0
i强于j	c_ij=1, c_ji=－1

节点v_i	可达集R(v_i)	先行集B(v_i)	R(v_i)∩B(v_i)
S₁	S₁, S₄, D₁, D₂, I₁, I₂, I₃, I₄, T₁^θ, T₂^θ	S₁, T₁^ϑ, T₂^ϑ	S₁
S₂	S₂, D₁, D₂, I₁, I₂, I₃, I₄, T₁^θ, T₂^θ	S₂, T₁^ϑ	S₂
S₃	S₃, D₁, D₂, I₁, I₂, I₃, I₄, T₁^θ, T₂^θ	S₃, T₁^ϑ	S₃
S₄	S₄, D₁, D₂, I₁, I₂, I₃, I₄, T₁^θ, T₂^θ	S₁, S₄, T₁^ϑ, T₂^ϑ	S₄
D₁	D₁, D₂, I₁, I₂, I₃, I₄, T₁^θ, T₂^θ	S₁, S₂, S₃, S₄, D₁, T₁^ϑ, T₂^ϑ	D₁
D₂	D₂, I₃, I₄, T₁^θ, T₂^θ	S₁, S₂, S₃, S₄, D₁, D₂, T₁^ϑ, T₂^ϑ	D₂
I₁	I₁, T₁^θ	S₁, S₂, S₃, S₄, D₁, I₁, T₁^ϑ, T₂^ϑ	I₁
I₂	I₂, T₂^θ	S₁, S₂, S₃, S₄, D₁, I₂, T₁^ϑ, T₂^ϑ	I₂
I₃	I₃, T₂^θ	S₁, S₂, S₃, S₄, D₁, D₂, I₃, T₁^ϑ, T₂^ϑ	I₃
I₄	I₄, T₁^θ	S₁, S₂, S₃, S₄, D₁, D₂, I₄, T₁^ϑ, T₂^ϑ	I₄
T₁^ϑ	S₁, S₂, S₃, S₄, D₁, D₂, I₁, I₂, I₃, I₄, T₁^ϑ, T₁^θ, T₂^θ	T₁^ϑ	T₁^ϑ
T₁^θ	T₁^θ	S₁, S₂, S₃, S₄, D₁, D₂, I₁, I₄, T₁^ϑ, T₁^θ, T₂^ϑ	T₁^θ
T₂^ϑ	S₁, S₄, D₁, D₂, I₁, I₂, I₃, T₁^θ, T₂^ϑ, T₂^θ	T₂^ϑ	T₂^ϑ
T₂^θ	T₂^θ	S₁, S₂, S₃, S₄, D₁, D₂, I₂, I₃, T₁^ϑ, T₂^ϑ, T₂^θ	T₂^θ

节点	网络全局权重	节点强度	节点效率	网络局部权重	节点重要度	节点网络权重
S₁	0.091 8	1.6	0.294 9	0.947 4	0.087 0	0.087 0
S₂	0.071 6	1.0	0.294 9	0.647 4	0.046 4	0.046 4
S₃	0.071 6	1.0	0.294 9	0.647 4	0.046 4	0.046 4
S₄	0.128 6	1.4	0.359 0	0.879 5	0.113 1	0.113 1
D₁	0.344 5	3.0	0.384 6	1.692 3	0.583 0	0.583 0
D₂	0.258 4	2.0	0.230 8	1.115 4	0.288 2	0.288 2
I₁	0.212 1	1.0	0.076 9	0.538 5	0.114 2	0.114 2
I₂	0.212 1	1.0	0.076 9	0.538 5	0.114 2	0.114 2
I₃	0.231 4	1.0	0.076 9	0.538 5	0.124 6	0.124 6
I₄	0.231 4	1.0	0.076 9	0.538 5	0.124 6	0.124 6
T₁^ϑ	0.087 4	1.2	0.488 7	0.824 4	0.072 1	0.210 9
T₁^θ	0.231 4	1.2	0	0.6	0.138 8	-
T₂^ϑ	0.025 7	0.4	0	0.2	0.005 1	0.180 1
T₂^θ	0.231 4	1.2	0.312 8	0.756 4	0.175 0	-

节点	节点生存力	节点可靠性	装备完好度	节点权重
S₁	0.923 6	1.00	0.923 6	0.080 3
S₂	0.741 4	0.91	0.674 7	0.031 3
S₃	0.816 7	0.82	0.669 7	0.031 0
S₄	0.566 0	1.00	0.566 0	0.064 0
D₁	0.741 4	0.91	0.674 7	0.393 3
D₂	0.619 4	1.00	0.619 4	0.178 5
I₁	0.816 7	0.96	0.784 0	0.089 5
I₂	0.659 4	0.97	0.639 6	0.073 0
I₃	0.616 0	0.98	0.603 7	0.075 2
I₄	0.749 9	0.95	0.712 4	0.088 7
T₁	0.800 0	1.00	0.800 0	0.168 7
T₂	0.800 0	1.00	0.800 0	0.144 0

名称	T₁-S₁	T₁-S₂	T₁-S₃	T₂-S₁
E=f(v_T, v_S)	0.638 3	0.756 7	0.517 3	0.496 2
自信息量	0.448 9	0.278 8	0.659 1	0.700 8
综合自信息量	0.006 1	0.001 5	0.003 4	0.008 1

名称	S₂-D₁	S₃-D₁	S₄-D₁	S₄-D₂
E=f(v_S, v_D)	0.856 1	0.661 9	0.768 5	0.801 2
自信息量	0.155 4	0.412 6	0.263 3	0.221 6
综合自信息量	0.001 9	0.005	0.006 6	0.002 5

名称	D₁-I₁	D₁-I₂	D₂-I₃	D₂-I₄
E=f(v_D, v_I)	0.782 1	0.654 1	0.785 6	0.831 4
自信息量	0.245 8	0.424 5	0.241 3	0.184 6
综合自信息量	0.008 7	0.012 2	0.003 2	0.002 9

名称	I₁-T₁	I₂-T₂	I₃-T₂	I₄-T₁
E=f(v_I, v_T)	0.645 2	0.774 9	0.599 8	0.810 6
自信息量	0.438 2	0.255 0	0.511 2	0.210 0
综合自信息量	0.006 6	0.002 7	0.005 5	0.003 1

名称	S₁-S₄	D₁-D₂	-	-
E=f(v_I, v_I)/E=f(v_D, v_D)	0.786 3	0.858 2	-	-
自信息量	0.240 4	0.152 9	-	-
综合自信息量	0.001 2	0.010 7	-	-

Research on effectiveness evaluation method of equipment system based on node importance and improved information entropy

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目标	编号	作战环	不确定性自信息量
T₁	1	T₁-S₁-S₄-D₂-I₄-T₁	0.015 8
	2	T₁-S₁-S₄-D₁-D₂-I₄-T₁	0.030 6
	3	T₁-S₁-S₄-D₁-I₁-T₁	0.029 2
	4	T₁-S₂-D₁-I₁-T₁	0.018 7
	5	T₁-S₂-D₁-D₂-I₄-T₁	0.020 1
	6	T₁-S₃-D₁-I₁-T₁	0.025 3
	7	T₁-S₃-D₁-D₂-I₄-T₁	0.025 1
T₂	1	T₂-S₁-S₄-D₂-I₃-T₂	0.020 5
	2	T₂-S₁-S₄-D₁-I₂-T₂	0.030 8
	3	T₂-S₁-S₄-D₁-D₂-I₃-T₂	0.035 3

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