一种基于随机映射的战斗效能模型

利用随机映射概念提出了一种新的战斗毁伤模型形式———Lanchester战斗网络模型。模型是由一个阶递减的随机映射序列组成的随机有向二部图,它明确、形式地描述了战争整体行为与局部作用之间的关系。理论分析和计算获得的结论表明,模型描述的整体作战效能符合Lanchester平方律,其网络拓扑结构是非同质的,出度和入度分布服从指数幂律。应用模型定量对比了“对称”与“非对称”战斗中全局信息因素对战斗系统整体效能的影响。初步讨论了网络模型研究在战争建模理论、实证和计算方法论上的意义。

Modeling Combat Using Random Mapping

Random network for Lanchester combat,a novel theoretical model for combat is put forward based on the definition of random mapping.The model is an ER random sub-graph of directed bipartite graph,or a series of random mapping with the decreased size of mapping domains,in which the relationship of local interaction and the system behavior have been formally and explicitly represented.The results obtained mainly by simulation and analysis show that the efficiency of the whole combat network follows the Lanchester's square-law,and that the topological structure of the network generated by the model is heterogenous,following exponential-law of degree distribution.Finally,the influence from the factors of globe information on the efficiency of the whole warfare system is studied through data experiments for both "symmetric" and "asymmetric" combat cases.It ends up with a discussion on the significance of network modeling in the combat modeling theory,experiments and methods of calculation.