系统工程与电子技术 ›› 2022, Vol. 44 ›› Issue (3): 921-928.doi: 10.12305/j.issn.1001-506X.2022.03.24

• 系统工程 • 上一篇    下一篇

针对要点防空模型的作战兵力优化研究

蔺向阳*, 邢清华, 刘付显   

  1. 空军工程大学防空反导学院, 陕西 西安 710051
  • 收稿日期:2020-10-22 出版日期:2022-03-01 发布日期:2022-03-10
  • 通讯作者: 蔺向阳
  • 作者简介:蔺向阳(1994—), 男, 博士研究生, 主要研究方向为军事系统运筹优化及强化学习|邢清华(1966—), 女, 教授, 博士研究生导师, 博士,主要研究方向为系统仿真建模及作战决策分析|刘付显(1962—), 男, 教授, 博士研究生导师, 博士,主要研究方向为作战建模与仿真、指挥决策优化
  • 基金资助:
    国家自然科学基金(71771216);国家自然科学基金(72071209);国家自然科学基金(72001214)

Research on optimization of combat force for key air defense model

Xiangyang LIN*, Qinghua XING, Fuxian LIU   

  1. College of Air and Missile Defense, Air Force Engineering University, Xi’an 710051, China
  • Received:2020-10-22 Online:2022-03-01 Published:2022-03-10
  • Contact: Xiangyang LIN

摘要:

为了在现代化联合防空作战中, 根据蓝方火力配置, 红方能够做出最优的兵力分配, 使防空效能最大化。从要点防空的任务角度出发, 对作战兵力分配进行建模优化, 并对优化后的兵力分配效能进行评估。首先选定任务背景为近海小规模局部战争, 对复杂作战情况进行抽象得到模型。对模型进行优化, 求解得到红方最优兵力分配结果,提出一种新方法, 简化了对有限制的类二项分布期望的求解, 得到蓝方各类进攻力量成功突防的期望以及红方要点平均损耗期望, 并用此值定量评估联合防空的兵力分配效能。最后, 进行了实例分析, 验证了模型的有效性。

关键词: 防空作战, 优化, 兵力分配, 效能评估, 类二项分布

Abstract:

In order to maximize the effectiveness of air defense in modern joint air defense operations, the red side can make the optimal force allocation according to the firepower allocation of the blue side. From the perspective of key air defense tasks, the combat force allocation is modeled and optimized, and the effectiveness of the optimized force allocation is evaluated. Firstly, the mission background is selected as offshore small-scale local war, and the complex combat situation is abstracted to obtain the model. The model is optimized and solved to obtain the optimal force allocation result of the red side. A new method is proposed to simplify the solution of the limited binomial distribution expectation, obtain the expectation of successful penetration of various offensive forces of the blue side and the expectation of average loss of key points of the red side, and use this value to quantitatively evaluate the force allocation efficiency of joint air defense. Finally, an example is analyzed to verify the effectiveness of the model.

Key words: air defense operations, optimization, force allocation, effectiveness evaluation, binomial distribution

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