最近邻与长程移动模式下的Lanchester作战动力学研究

Research on the Lanchester Combat'S Dynamics in the Nearest-Neighbor and Long-Range Movement Mode

在现代战争中,诸如空降兵作战、特种兵作战等部队的远距离转移和投送被频繁使用,这些作战问题明显不同于以往运用空间Lanchester方程所研究的最近邻移动作战问题。为了解释上述现代作战问题,文章引入新的长程移动模式——列维飞行,运用随机模拟方法对作战双方在最近邻移动、长程移动模式下的Lanchester作战时空动力学进行了研究,得到了这2种移动模式下稳定共存与非稳定共存的参量条件与临界曲线,并研究了不同参量情况下的斑图演化与密度时间序列曲线的变化情况。研究表明,这2种移动模式的动力学影响是不同的,列维飞行能明显提高搜索效率,使整体作战效率提高,战斗过程缩短。

In modern warfare, long distance transfers and deliveries of troops, such as airborne operations, special forces operations, etc, are frequently used. These operational problems are obviously different from those operation problems of nearest-neighbor movement that were studied through the spatial Lanchester equations in the past. In order to interpret modern operation problems above, in this paper, a new long-range movement mode--Levy flight was introduced. Then the spatiotemporal dynamics of Lanchester combat in the nearest-neighbor movement and long-range movement mode were studied by using the stochastic simulation method. The parameter conditions for stable coexistence and instable coexistence and critical curvesin those two movement modes were obtained. Next the evolution of patterns and changes of the densities＇ time series curves in the case of different parameters were studied. It showed that the dynamical effects of the two movement modes were different. Levy flight could obviously improve the search efficiency, thus improve the overall combat efficiency and shorten the combat process.