资金约束下的关键基础设施应急保护策略研究

Critical Infrastructure Protection Strategies under Budget Constraints

针对多系统耦合多层级分布的关键基础设施网络,通过影响矩阵将网络抽象为"节点-关系"图。考虑网络中不同类的任意两节点间的相互影响,以最大化的网络总服务能力为优化目标,建立了基于预算总资金约束的基础设施保护的数学模型,设计了有效遗传算法对模型进行求解,通过不同规模下的数值实验结果表明了该算法的收敛性。最后,以典型应急情景为案例,深入分析了不同情况下的解的共性与区别,对决策部门制定系统保护策略具有重要的参考价值。

Using influence matrix, the critical infrastructure network with multi-system coupling and multi-level distribution is abstracted into a relation of ＂connections between nodes＂. With an attempt to maximize the service capacity of the whole network, the article proposes a budged-constrained model for protecting infrastructure by taking the mutual influence between any two of the nodes into consideration. Genetic algorithm is applied to analyze the model and the results generated under different circumstances demonstrate the convergence of the algorithm. Similarities and dissimilarities between the results are further analyzed with reference to emergency scenarios. It is hoped that the present study can be of value to decision-makers in developing strategies for system maintenance.