中文摘要：

空中战役过程的数学概念模型是对实际作战过程的抽象，是仿真建模的基础。在对空中战役过程物理特性分析基础上，根据典型化、模块化等手段对空中战役的典型作战过程进行处理，使其符合马尔科夫链的判别条件，将整个作战过程看作多个作战阶段组成的状态转移体系，建立用马尔科夫链描述的空中战役典型作战过程数学概念模型，探讨了作战阶段持续时间、状态转移概率的确定和其他影响因素，并对适合作战阶段数学模型的建模方法进行介绍。所得研究结果可以为仿真建模人员的仿真建模工作提供有益的指导。

英文摘要：

The mathematic concept model for air campaign course is a kind of abstract to actual battle course. It is the fundament of simulation and modeling. On the base of physical characteristics, the typical battle course is analyzed on the thinking of typification and modularization. It makes the whole battle course can be describes with Markov chain. The whole battle course can be regarded as a state transfer system composed of some battle phrases. The mathematic concept model for air campaign course is put forward. Every phrase＇s duration, transfer probability and effect factors are analyzed. Some practicable model methods for battle phrases are introduced. The research results can instruct the work of simulation and modeling.