系统工程与电子技术 ›› 2018, Vol. 40 ›› Issue (3): 563-570.doi: 10.3969/j.issn.1001-506X.2018.03.12

• 系统工程 • 上一篇    下一篇

基于模糊多目标规划的防空反导火力分配

徐浩, 邢清华, 王伟   

  1. 空军工程大学防空反导学院, 陕西 西安 710051
  • 出版日期:2018-02-26 发布日期:2018-02-24

WTA for air and missile defense based on fuzzy multi-objective programming

XU Hao, XING Qinghua, WANG Wei   

  1. School of Air and Missile Defense, Air Force Engineering University, Xi’an 710051, China
  • Online:2018-02-26 Published:2018-02-24

摘要:

针对现有多目标火力分配(weapon target assignment,WTA)方法很难适用于不确定情况下防空反导作战的问题,提出了基于模糊多目标规划的防空反导WTA方法。首先,采用三角模糊数刻画不确定的目标威胁度,在考虑防空反导作战特点的基础上,基于模糊多目标规划建立了WTA模型;然后,根据必要性测度原理将含有模糊参数的目标函数进行了等价清晰化;接着,提出了具有单/双势阱的多目标量子行为粒子群算法用于求解WTA模型,该算法采用了单/双势阱位置更新方式、粒子混合随机变异方法、领导粒子两阶段选取方法;最后,通过实例仿真验证了模型的合理性和算法的有效性。

Abstract:

Given that the multi-objective optimization based weapon target assignment (WTA) methods have difficulty in resolving WTA problems in air and missile defense operation under uncertainty, a WTA method for air and missile defense based on fuzzy multi-objective programming is proposed. Firstly, the uncertain target threat is measured with application of triangular fuzzy number, and the air and missile defense WTA model is constructed based on fuzzy multi-objective programming with consideration of air and missile defense combat’s characteristics. Secondly, the objective function with fuzzy parameters is turnned into a certain objective function based on necessity degree principle of uncertain theory. Thirdly, A multi-objective quantum-behaved particle swarm optimization with the double/single-well (MOQPSO-D/S) algorithm is proposed to solve the WTA model, where the particle location update method with double/single well, the hybrid random mutation method and a two-stage guider particles selection method are applied. Finally, the model constructed in this paper is proved to be reasonable, and the MOQPSO-D/S algorithm is proved to be efficient through example simulation.