防空作战兵力区分问题的非线性规划模型

摘要

兵力区分是防空作战部署的一个重要环节。现代防空作战，参战兵力种类多，数量大，兵力区分问题更为复杂，需要对防空兵力作出科学合理的区分。针对由歼击航空兵、地空导弹部队和高炮部队等多个兵种构成的防空兵力，在根据武器系统抗击性能按不同歼敌地带和歼敌区段进行混合部署的情况下，建立了兵力区分的非线性规划模型，并给出了算例分析，该模型可以为防空作战指挥员确定兵力区分方案提供定量分析的方法。%The allocation of air defense forces is an important step of troops disposition. In modern air defense combat,a great variety and quantity of air defense forces joining the battle makes the problem of forces allocation more complicated,it is more necessary to make a scientific plan of air defense forces allocation .In this paper,it is supposed that the air defense forces is organized by fighter aviation troops,ground-to-air missile troops and antiaircraft artillery troops and so on. Taking the mathematic expectation of destroying enemy air raid weapons as objective function,a nonlinear programming model is built to provide a method of quantitative analysis to help commander make a plan of air defense forces allocation.