摘要
主要探究了多波次导弹发射过程中的路径规划问题.首先,基于多波次导弹发射的特点,将机动过程分为多个阶段,以暴露时间为评价目标,提出了多阶段两层优化模型,外层优化采用0.1规划与Dijkstra算法,内层优化应用启发式搜索与优先级列表,内外层相互耦合实现整体优化求解.其次,结合攻防双方的对抗博弈,建立综合评价指标体系,采用德尔菲法与灰色关联分析法分析路径规划中易受攻击的道路节点以指出双方攻防薄弱点.最后,基于MATLAB软件通过算例分析验证了多阶段两层优化模型及综合评价指标体系的有效性与合理性.
This paper mainly explores the path planning in the multi-wave launch of missile. Based on the characteristics of multi-wave launch, the combat process is divided into several stages. Taking exposure time as the evaluation objective, a multi-stage two-level optimization model is proposed. The outer optimization is based on 0-1 Programming and Dijkstra's Algorithm. The inner optimization is based on Heuristic Search and Priority List. The outer level and inner level axe coupled to achieve the overall optimization. In addition, combined with the confrontation game between attackers and defenders, a comprehensive evaluation index system is established. Based on Delphi Method and Gray Relational Analysis, the vulnerable road nodes in the path planning axe analyzed. Finally, the multi-stage two-level optimization model and comprehensive evaluation index system are proved valid and rational based on MATLAB software.
作者
曹永吉
李毅
韩林晓
张恒旭
路云生
CAO Yong-ji;LI Yi;HAN Lin-xiao;ZHANG Heng-xu;LU Yun-sheng(School of Electrical Engineering,Shandong University,Jinan 250061,China;School of Mathematics,Shandong University,Jinan 250061,China)
出处
《数学的实践与认识》
北大核心
2018年第15期276-286,共11页
Mathematics in Practice and Theory
关键词
多波次导弹发射
整体优化
两层算法
多阶段
multi-wave missile launch
overall optimization
two-level algorithm
multi stage