Modeling and reinforcement decision analysis in air force combat based on data link
-
摘要: 研究了空战双方力量的变化问题.将飞机的空战能力指数转化为平均战斗力水平,进而以蓝彻斯特方程为基础,考虑数据链对空战的影响和作战中有增援力量的加入,建立了对抗双方战机数量变化的微分方程模型,给出了其数值计算方法,指出了离散计算的时间步长所应满足的条件,并根据增援模式的不同,将模型细化为不同形式.仿真实验表明,存在有效增援时间范围,一次性增援和匀减速增援具有时间优势,并且通过构造评价函数有效衡量了这两者具有较高的增援效率,为空中作战应用和决策提供了参考依据.Abstract: Force change problem during air combat course was studied. First of all, operation ability index of aircraft was converted to average combat level. Furthermore, in view of data link's influence on air combat and reinforcement force's joining to original force, differential equation model of every force changing which was represented by variety of aircraft number was set up based on Lanchester equation. Then numerical computation method of the model was given, and what time step should meet in discrete computation was pointed out. According to different reinforcement mode, the model was extended to different representation forms. Simulation experiment shows there is effective reinforcement time range if reinforcement force was joined in air combat, reinforcement only in one time and reinforcement with constant deceleration have merits on time. High reinforcement efficiency of the two reinforcement mode was illustrated by constructing the judgment function, which provides one new thought for air combat application and decision making.
-
Key words:
- average combat level /
- Lanchester equation /
- data link /
- judgment function /
- reinforcement efficiency /
- decision making
-
[1] Zhou L,Zhang H Y,Wang T,et al.Static check of WS-CDL documents [J].IEEE International Symposium on Service-Oriented System Engineering,2008,8:142-147. [2] 贺刚,柏鹏,彭卫东,等.数据链中基于动态博弈的联合功率与速率控制[J].西南交通大学学报,2013,48(3):473-480.He G,Bai P,Peng W D,et al.Joint rate and power control based on dynamic game theory in data link system[J].Journal of Southwest Jiaotong University,2013,48(3):473-480(in Chinese). [3] 魏嘉利,贾云峰,谢树果,等.航空电子系统电磁环境复杂度量化评估方法[J].航空学报,2014,35(2):487-496.Wei J L,Jia Y F,Xie S G,et al.Complexity assessment method of electromagnetic environment for avionic systems[J].Acta Aeronautica et Astronautica Sinica,2014,35(2):487-496(in Chinese). [4] 林琪,李智.基于拓扑特征的卫星网络效能评估[J].中南大学学报:自然科学版,2013,44(增刊2):368-371.Lin Q,Li Z.Performance evaluation of satellite-network based on topologic characteristics[J].Journal of Central South University:Science and Technology,2013,44(S2):368-371(in Chinese). [5] Liu H,Xu M,Chen N Y,et al.Task effectiveness evaluation on anti-ship attack of fighter aircraft[J].Transactions of Nanjing University of Aeronautics & Astronautics,2012,29(2):164-170. [6] Lee J,Kang S H,Rosenberger J,et al.A hybrid approach of goal programming for weapon systems selection[J].Computers & Industrial Engineering,2010,58(3):521-527. [7] Chen J,Mu Y P,Li D F.Study on effect evaluation of weapon coordinated use of fleet[J].Military Operations Research and Systems Engineering,2009,23(3):66-71. [8] Johnson I R,Mackay N J.Lanchester models and the battle of Britain[J].Naval Research Logistics,2011,58(3):210-222. [9] Yan J J,Wang Y,Wang X Y.Modeling and simulation of Lanchester equation based on game theory[C]//Proceedings of International Conference on the Business Management and Electronic Information.New York:IEEE,2011:212-214. [10] Yang F,Yang C C,Liang L,et al.New approach to determine common weights in DEA efficiency evaluation model[J].Journal of Systems Engineering and Electronics,2010,21(4):609-615. [11] 冯忠华,王新龙,王彬.一种数据链传输延迟建模及其补偿方法[J].北京航空航天大学学报,2012,38(8):1106-1110.Feng Z H,Wang X L,Wang B.Transfer time delay model of data link and its compensation[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(8):1106-1110(in Chinese). [12] 陈向勇,井元伟,李春吉.基于Lanchester方程的作战混合动态系统最优变招控制[J].控制理论与应用,2012, 29(6):773-777.Chen X Y,Jing Y W,Li C J.Optimal variable tactic control of warfare hybrid dynamic system based on Lanchester equation[J].Control Theory & Applications,2012,29(6):773-777(in Chinese). [13] Chen H M.An optimal control problem in determining the optimal reinforcement schedules for the Lanchester equations[J].Computers and Operations Research,2003,30(7):1051-1066. [14] Draguna V,Frank L.Adaptive dynamic programming for online solution of a zero-sum differential game[J].Journal of Control Theory and Applications,2011,9(3):353-360. [15] 朱宝鎏,朱荣昌,熊笑非.作战飞机效能评估[M].2版.北京:航空工业出版社,2006:184-185.Zhu B L,Zhu R C,Xiong X F.Aircraft effectiveness evaluation[M].2nd ed.Beijing:Aviation Industry Press,2006:184-185(in Chinese). [16] 谭东风.基于网络整体效能的战斗毁伤模型[J].系统工程理论与实践,2013,33(2):521-528.Tan D F.An attrition model with global network efficiency[J].Systems Engineering-Theory & Practice,2013,33(2): 521-528(in Chinese). [17] 黄金才,张勇,杨磊,等.战术数据链作战效能定量评估方法[J].火力与指挥控制,2010,35(12):66-69.Huang J C,Zhang Y,Yang L,et al.A quantitative evaluation method for operation efficiency of tactical data link[J].Fire Control & Command Control,2010,35(12):66-69(in Chinese). [18] 牛德智,陈长兴,班斐,等.基于效能评估的航空作战进程预测[J].航空学报,2014,35(5):1416-1423.Niu D Z,Chen C X,Ban F,et al.Prediction on force in air combat process based on effectiveness evaluation[J].Acta Aeronautica et Astronautica Sinica,2014,35(5):1416-1423(in Chinese)
点击查看大图
计量
- 文章访问数: 1038
- HTML全文浏览量: 57
- PDF下载量: 844
- 被引次数: 0