系统工程与电子技术 ›› 2023, Vol. 45 ›› Issue (3): 777-784.doi: 10.12305/j.issn.1001-506X.2023.03.19

• 系统工程 • 上一篇    下一篇

基于多目标模糊规划的海上要地防空动态火力分配

赵文飞, 刘孝磊, 马翠玲, 滕克难   

  1. 海军航空大学航空基础学院, 山东 烟台 264001
  • 收稿日期:2021-10-28 出版日期:2023-02-25 发布日期:2023-03-09
  • 通讯作者: 赵文飞
  • 作者简介:赵文飞(1986—), 男, 副教授, 博士, 主要研究方向为要地反导体系构建与评估
    刘孝磊(1983—), 男, 副教授, 硕士, 主要研究方向为分数阶微分方程建模
    马翠玲(1982—), 女, 讲师, 硕士, 主要研究方向为数学模型研究
    滕克难(1962—), 男, 教授, 博士, 主要研究方向为要地反导体系构建与评估
  • 基金资助:
    全军军事类研究生项目(JY2020A016);海军航空大学科研自主立项(I32003001)

DWTA of air defense for strategic location on the sea based on multi-objective fuzzy programming

Wenfei ZHAO, Xiaolei LIU, Cuiling MA, Kenan TENG   

  1. Aviation Foundation College, Naval Aviation University, Yantai 264001, China
  • Received:2021-10-28 Online:2023-02-25 Published:2023-03-09
  • Contact: Wenfei ZHAO

摘要:

海上要地防空武器火力分配(weapon target assignment, WTA)是防空反导作战的关键环节, 属于典型的组合优化问题。针对海上要地防空反导战场态势的不确定性、复杂性和动态性问题, 提出了一种基于非支配排序的多目标量子遗传算法的模糊动态WTA(dynamic WTA, DWTA)方法。首先, 在确定条件下, 建立了以防御效率和作战资源损耗为目标的多目标DWTA模型; 然后, 根据战场态势的不确定性构建了多目标模糊DWTA模型, 利用期望值法将模糊问题等价刻画为确定性问题, 并基于非线性问题特征提出了线性化方法; 最后, 利用所提算法对该问题进行求解。仿真结果表明, 所提算法具有较好的收敛效果。

关键词: 海上要地, 防空反导, 武器火力分配, 多目标模糊规划

Abstract:

Weapon target assignment (WTA) for strategic location on the sea is a key link in air defense and antimissile operations, and it is a typical combined optimization problem. Aiming at the uncertainty, complexity and dynamics of the air defense and antimissile battlefield situation in strategic location on the sea, a fuzzy dynamic WTA (DWTA) method based on non-dominated sorting multi-objective quantum genetic algorithm (NS-MOQGA) is proposed. Firstly, under certain conditions, a multi-target DWTA model with the goal of defense efficiency and combat resource consumption is established. Then, according to the uncertainty of the battlefield situation, a multi-target fuzzy DWTA model is constructed, and the fuzzy problem is equivalently described as a deterministic problem using the expected value method, and a linearization method is proposed based on the characteristics of the nonlinear problem. Finally, the improved NS-MOQGA algorithm is used to solve the problem, and the simulation results show that the proposed algorithm has a good convergence effect.

Key words: strategic location on the sea, air defense and antimissile, weapon target assignment (WTA), multi-objective fuzzy programming

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