基于兰彻斯特方程离散化的现代海战效能研究

Research on the Efficiency of Modern Naval Warfare Based on the Discretization of Lanchester Equation

针对现代海战时间短、导弹少、威力大,兵力损耗呈现"跳跃"性,且增援快等特点,提出了有支援的离散兰彻斯特模型,推导了"可见"型海战与"不可见"型海战模型的数学表达式,并进行了仿真实例分析。研究表明:对于"可见"型海战,投入战斗的兵力越多、导弹杀伤性越大、支援越多越及时的一方获胜;而对于"不可见"型海战,导弹杀伤性越大、支援越多的一方获胜,而与初始兵力无关。

Due to the characteristic of the short time, less missile, great power, Leaping force loss and fast aid on the mod-ern naval warfare, The Discretization Lanchester modeling with support is put forward. The mathematical expression of ‘Visi-ble’ and ‘Invisible’ Naval Warfare is derived, and the simulation example analysis is carried out. Research shows the moretroops put into battle, the stronger the missile-s killing, the more timely and support is, the victory part is, for ‘Visible’ Na-val Warfare. The stronger the missile-s intimidating, the more support is, the victory part is, for ‘Invisible’ Naval Warfare.