基于兰彻斯特方程的反舰导弹突防模型

Penetration Model of Anti-Ship Missile Based on Lanchester Equation

在兰彻斯特作战动态方程的基本思想的基础上,建立反舰导弹突防舰空导弹的随机类型Lanchester方程。对已有确定型Lanchester方程进行改进,恰当地引入作战过程的随机因素,实现了反舰导弹对舰空导弹突防概率的求解。利用该数学模型不仅能较准确地评估反舰导弹的作战效能,也可为反舰兵力部署提供参考。

On the basis of basic ideas of Lanchester equation, the stochastic equation which described anti-ship missile penetrating ship-air missile was built. After the known deterministic Lanchester equation was improved, stochastic factors were correctly introduced in the course of combat, and penetration probability of anti-ship missile to ship-air missile was calculated. Using these mathematical models, the combat effectiveness of anti-ship missiles can be more factually evaluated, and a reference can be presented for deployment of anti-ship troops.