基于马尔柯夫链的截击空战战斗损伤评估

Battle Damage Assessment of Intercept Air Combat based on Markov Chain

一批飞机截击另一批飞机的过程可以看作一个典型的复杂随机过程,具有马尔柯夫链特征。利用马尔柯夫链原理和数学解析法,从空战各阶段的生存状态角度入手,建立了空战双方状态转移概率模型、单机平均被摧毁概率模型和单机平均摆脱概率模型。最后用算例对空战双方的战斗损伤状况进行了综合评估,验证了模型的可用性和有效性。

The multiple air combat can be seen as a typical complex random process,with the characteristics of the Markov chain. Combined with Markov chain theory and mathematical analytical method, the state transition probability model, single aircraft average destroy probability model and average escape probability model of air combat are established at the view of survival status of each stage of the air combat. Finally,the usability and effectiveness of the air battle damage assessment models are verified through calculation example.