Effectiveness Evaluation of Warfare Command Systems with Dissymmetrical Warfare Information Xiangyong Chen, Yuanwei Jing, Chunji Li, Nan Jiang, Georgi M. Dimirovski, Senior Member, IEEE Abstract— This paper researches the warfare command de- cision making problems in dissymmetrical information war, which are of important to military system science researches. Based on the features of dissymmetrical information war, we develop a corresponding warfare command decision making model by using Lanchester square law equation. Two proper military stratagems which can transform the battlefield sit- uation are pointed out and analyzed quantitatively with the equation. The analysis model and the proposed approach may reflect the effect of information war in warfare command decision making. The computation results show the feasibility and effectiveness of the proposed model. The research results may provide a theoretical reference for warfare command decision making. I. I NTRODUCTION How to get the optimal warfare command strategies can be affected by the players, the decision-making information, the warfare environment, as well as the weapons systems and other factors. As an interesting research field in military system science and operations research, the warfare com- mand decision-making problems in information war [1] have attracted more attentions for military theoretic researchers and commanders. Information war considers the information weapon systems as the main factor to combat and destruct in- formation systems of the enemy’s battlefield. By making use of information warfare principle, this new fighting method based on information operation principle may enhance the ability of commanders to command and control the force strengths to execute information operation, and to make scientific decision to obtain the final victory in warfare. Lanchester theory of combat [2]-[3] is a typical scientific method to predict the outcome of military battles by the quantitative analysis.In recent years, some research results about the warfare command decision-making can be obtained based on Lanchester equation theory. Sha [4] proposed mathematic tactics to research the military problem using the operational research and logistics. Ling and Ma [5] proposed the general Lanchester equations model, which considers the This work is supported by the National Natural Science Foundation of China under Grant 60774097 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20020145007. Xiangyong Chen,Yuanwei Jing and Nan Jiang are with College of Information Science and Engineering, Northeastern University, 110004, Shenyang, Liaoning, P.R. of China. E-mail: xiangyongchen@yahoo.cn, ywjjing@mail.neu.edu.cn Chunji Li is with College of Science, Northeastern University, 110004, Shenyang,Liaoning, P.R. of China. E-mail: chunjili2000@yahoo.com.cn Georgi. M. Dimirovski is with Dogus University, Faculty of Engineering, Istanbul, TR-34722, R. of Turkey; and SS Cyril and Methodius Uni- versity, Faculty of FEIT, Skopje, MK-1000, R. of Macedonia (E-mail: gdimirovski@dogus.edu.tr ) both sides of information as state variables. This model is able to analyze effectively the effect of information in the process of decision-making. D. Ghose [6]-[7] developed the model for military conflicts where the defending forces have to determine an optimal partitioning of available resources to counter attacks from an adversary from n different fronts. The problem of optimally partitioning the defending forces against the attacking forces is addressed. Shi [8] researched the effectiveness evaluation of information support based on Lanchester equation. Chen and Jing [9] proposed a mathematical model to solve the maximum remaining force problem when the total force is not superior to the enemy based on Lanchester theory. Huang and Xu [10] established a differential game model to analyze the firepower distribution problem of backhanded sight gunshot and solved this model according to Lanchester second linear law. R. K. Colegrave [11] proposed Lanchester square law equation model ex- tended to a (2, 2) conflict. Li and Sun [12] developed a cor- responding firepower-assignment optimization model using Lanchester theory and differential games theory. Li and Chen [13] proposed a troops support differential game optimization model and gave the solution analysis. P. Cardaliaguet [14]- [15] researched the two-player zero-sum differential game in which the players have the asymmetric information on the random terminal payoff. In this paper, we utilize the principle of Lanchester theory to build a warfare command decision-making model in dissymmetrical information war. The proposed model is used to research the battlefield situation. Two proper military stratagems, to capture the favorable attack, to destroy the information system of the enemy, which can transform the battlefield situation are pointed out and analyzed quantita- tively with the model. This paper is organized as follows. In Section 2, we give the decision making problem formulation in military conflict. In section 3, we research two stratagems which can transform the battlefield situation. As the application , the application examples in military conflict are proposed in this section. Finally, in Section 4, we conclude the paper, summarize the results obtained, and lay out some possible directions for future research. II. THEORETICAL MODEL DESCRIPTION Consider a military conflict between two opposing forces when the warfare information is dissymmetrical on both sides. Suppose that x and y are the numerical strengths of two military forces in both combat formations, respectively. The basic task of the two warring sides is to win this battle by 2010 American Control Conference Marriott Waterfront, Baltimore, MD, USA June 30-July 02, 2010 FrB03.1 978-1-4244-7427-1/10/$26.00 ©2010 AACC 5556