A Lanchester Equation and its Solution Considering the Factor of Terrain

2010 ◽  
Author(s):  
Xiong Caiquan ◽  
Ma Lele ◽  
Wu Minghu
Keyword(s):  
Lanchester Equation

scholarly journals An integrated network/firepower operation model based on Lanchester equation

2018 ◽  
Vol 17 ◽  
pp. 112-117
Author(s):  
Shi Hong Xu ◽  
Jin Xing Liu ◽  
Jin Song Gao ◽  
Yi Qin Yuan
Keyword(s):  
Operation Model ◽  
Integrated Network ◽  
Model Based ◽  
Lanchester Equation

scholarly journals Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester(n,1)Attrition Model

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Xiangyong Chen ◽  
Ancai Zhang
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Dynamic Systems ◽  
Control Strategies ◽  
Discrete Event ◽  
Optimal Strategies ◽  
Hybrid Dynamic System ◽  
Differential Game Theory ◽  
Case Simulation ◽  
Lanchester Equation

For the particularity of warfare hybrid dynamic process, a class of warfare hybrid dynamic systems is established based on Lanchester equation in a(n,1)battle, where a heterogeneous force ofndifferent troop types faces a homogeneous force. This model can be characterized by the interaction of continuous-time models (governed by Lanchester equation), and discrete event systems (described by variable tactics). Furthermore, an expository discussion is presented on an optimal variable tactics control problem for warfare hybrid dynamic system. The optimal control strategies are designed based on dynamic programming and differential game theory. As an example of the consequences of this optimal control problem, we take the (2, 1) case and solve the optimal strategies in a (2, 1) case. Simulation results show the feasibility of warfare hybrid system model and the effectiveness of the optimal control strategies designed.

scholarly journals Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xiangyong Chen ◽  
Jianlong Qiu
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Dynamic Systems ◽  
Game Problem ◽  
Game Model ◽  
Optimal Reinforcement ◽  
Differential Game Theory ◽  
Military Conflicts ◽  
Lanchester Equation ◽  
Reinforcement Strategies

This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement strategies. Furthermore, we also discuss the convergence of the algorithm. Finally, a numerical example illustrates the effectiveness of the presented optimal schemes. Our proposed results provide a theoretical guide for both making warfare command decision and assessing military actions.

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