一种基于Lanchester方程的交战取胜最优策略  

Optimal strategies for winning in military conflicts based on Lanchester equation

作　　者：陈向勇[1] 井元伟[1] 李春吉[2] 刘晓平[1] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110819 [2]东北大学理学院,沈阳110819

出　　处：《控制与决策》2011年第6期945-948,共4页Control and Decision

基　　金：国家自然科学基金项目(60774097);中央高校基本科研业务费基金项目(N100604019)

摘　　要：针对一类带有兵力增援作战系统交战双方取胜的最优决策问题,在给出交战取胜性理论的基础上,给出了作战决策方清空型取胜策略和非清空型取胜策略的定义.依据Lanchester战斗方程,得到了两种取胜策略存在的充分条件.引入非线性优化技术,求得相应的取胜最优策略.它不仅保证了决策方的取胜性,而且使得性能指标具有最大值.通过仿真算例验证了所设计决策方案的可行性.For a class of optimal decision making problems of warfare systems with force resource complementary, the definitions of the empty type winning strategy and non-empty type winning strategy are proposed based on a defined winning theory of warfare systems. By means of Lanchester equation, the sufficient conditions for the existence of two strategies are presented. Nonlinear optimization technology is used to solve the corresponding optimal decision making problems for winner, and the optimal strategies is obtained, which ensures the victory of the decision maker in conflicts, and the maximum value of index performance is obtained. Numerical examples show the feasibility of the proposed optimal winning strategies.

关 键 词：LANCHESTER方程 交战取胜性理论 清空型策略 非清空型策略 兵力增援 非线性优化 

分 类 号：E072[军事—军队指挥学] TP273[军事—军事理论]