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摘要:
管制员和航空器是管制系统的关键所在，两者紧密关联、相互依存，分析其间的相互关系，能够加深对管制系统的理解，更好地维护其运行效率。为此，首先构建了一种由飞行状态网络和管制网络相耦合所组成的相依网络模型。其中，飞行状态网络由空中的航空器和彼此之间位置关系决定；管制网络由管制扇区及其之间的移交关系确定。然后根据管制员对航空器的调配难度确定依存边的权重。最后依据构建原则模拟生成人造网络，对该网络的节点度、点强和加权聚类系数以及网络效率和鲁棒性进行了分析。分析结果表明：所构建的相依网络模型能够反映管制员和航空器之间的相互关系，管制节点重要程度高于航空器节点。
Abstract:The controller and aircraft are the key of the control system. They are closely related and interdependent. Analyzing the relation of them can deepen the comprehension of the control system and maintain the operation efficiency better. For this purpose, an interdependent network model coupled by aircraft state network and control network is established. In the model, aircraft state network is composed of the aircraft and their relative position. The control network is made up of the control sectors and their handover relationship. And the weights of the edges between the networks are calculated according to the control difficulty. On this basis, an artificial network is generated according to construction principle. The node degree, node weight, weighted clustering coefficient, network efficiency and network robustness of the interdependent network are analyzed. The analysis results show that the constructed interdependent network model can reflect the relationship between the controllers and the aircraft and the importance degree of the control nodes is higher than that of the aircraft nodes.
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图 8 管制节点失效后管制权的重分配规则
Figure 8. Redistribution rule of control power after control node failure
表 1 节点度的数值
Table 1. Numerical value of node degree
节点编号 度 1 9 2 9 3 9 4 9 5 7 48 5 49 5 50 5 51 18 52 24 53 19 54 23 55 37 56 29 57 14 58 25 59 16 
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表 2 节点点强的数值
Table 2. Numerical value of node weight
节点编号 点强/104 1 0.086 2 0.028 3 3.45 4 3.60 5 0.019 48 0.034 49 0.057 50 0.057 51 0.079 52 0.829 53 0.138 54 7.179 55 12.56 56 0.307 57 0.10 58 1.391 59 0.548
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表 3 节点加权聚类系数的数值
Table 3. Numerical of weighted clustering coefficient of node
节点编号 加权聚类系数 1 0.921 2 0.870 3 0.925 4 0.925 5 0.910 48 0.966 49 0.965 50 0.965 51 0.298 52 0.297 53 0.278 54 0.333 55 0.311 56 0.277 57 0.388 58 0.278 59 0.368
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表 4 相依网络拓扑指标
Table 4. Topological index of interdependent network
节点状态 网络效率 鲁棒性 正常情况 0.1946 0.8561 55号管制节点失效 0.179 0.7683 59号管制节点失效 0.1903 0.8474 54号管制节点失效 0.1798 0.7885 56号管制节点失效 0.1845 0.8366
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