兰彻斯特方程的系统动力学模型研究  

Research on system dynamics model of Lanchester equations

作　　者：孔红山[1] 张明清[1] 唐俊[1] 

机构地区：[1]解放军信息工程大学电子技术学院,河南郑州450004

出　　处：《计算机工程与设计》2011年第8期2789-2791,2816,共4页Computer Engineering and Design

基　　金：国防预研基金项目(2009170)

摘　　要：由于现代作战出现的新特点限制了兰彻斯特方程的应用,为了解决兰彻斯特方程扩展和数值计算中的困难,引入了系统动力学仿真。给出了多维战争条件下的多元兰彻斯特方程和考虑协同因素的多元兰彻斯特方程。在分析系统动力学建模与仿真的基础上,针对包含多种作战元素的空战想定,构建了该想定的系统动力学模型,并对相关系统变量对作战过程的影响进行了仿真分析。仿真结果表明了系统动力学求解兰彻斯特方程的有效性和优越性。Because of the new characteristic of modem campaign, the application of Lanchester equations is restricted. The purpose of importing system dynamics is to solve the difficulty of the extending and numerical value based on Lanchester equations. Multi-dimen- sional Lanchester equations and multi-dimensional Lanchester equations with considering cooperative engagement are presented, aiming at a complicated combat scenario including multi combat elements, the scenario＇ s model of system dynamics is established based on analyzing the modeling and simulation of system dynamics, and the effects between the combat process and system variables are simulated and analyzed. From the example, the advantage of computing Lanchester equations with system dynamics can be found.

关 键 词：系统动力学 兰彻斯特方程 作战效能 协同作战 仿真 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]