基于双层规划的网络化防空作战编队结构优化

Optimization of Networked Air-defense Operational Formation Structure Based on Bilevel Programming

科学、合理的网络化防空作战编队结构是确保编队自身安全,提高作战任务可靠性和有效性的重要保证。针对网络化防空作战编队结构优化问题,首先,定义了编队防空结构的相关概念,分析了编队防空作战的一般过程;其次,基于双层规划理论,分别以掩护节点与核心节点距离最大、编队抗饱和攻击能力最强为上下层目标,综合考虑探测角度覆盖、火力拦截时间、导弹二次捕捉等因素,建立了作战编队防空结构双层优化模型;然后,引入层次粒子群算法,对模型进行求解,并给出了具体运算步骤;最后,以水面舰艇编队防空结构优化为例,求解最佳编队防空结构,计算最大抗饱和攻击能力。通过与典型的纵队、弧形编队的对比,验证了模型与方法的合理性与可行性。

Scientific and reasonable operational formation air-defense structure(OFAS)is important to ensure the safety of formation,and improve the reliability and validity of operational missions.Aiming at the optimization problem of OFAS,firstly,relevant concepts of OFAS were defined and general process of formation air-defense operation was ana-lyzed.Secondly,based on the theory of bilevel programming,taking the farthest distance between defending nodes and core node and the strongest anti-saturation striking capability as upper and lower target respectively,the double layers optimization model for OFAS was built by comprehensively considering detection angle covering,fire intercepting time,missile twice catching and so on.Then,the hierarchical particle swarm optimization algorithm was introduced to solve the model,and concrete operation steps were given.Finally,taking OFAS for surface ships as an example,the optimal air-defense network structure was built,and the maximum anti-saturation striking capability was calculated.The rationality and feasibility of the model and method are verified through contrast with typical column and arc formation structures.