Newton’s Method for Global Free Flight Trajectory Optimization

被引:0
|
作者
Borndörfer R. [1 ]
Danecker F. [1 ,2 ]
Weiser M. [2 ]
机构
[1] Network Optimization, Zuse Institute Berlin, Takustr. 7, Berlin
[2] Modeling and Simulation of Complex Processes, Zuse Institute Berlin, Takustr. 7, Berlin
关键词
Discrete optimization; Flight planning; Free flight; Global optimization; Newton’s method; Optimal control; Shortest path;
D O I
10.1007/s43069-023-00238-z
中图分类号
学科分类号
摘要
Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton’s method for continuous optimization converges in a sufficiently large neighborhood around a minimizer. We show in this paper that, under certain assumptions, this is the case. © 2023, The Author(s).
引用
收藏
相关论文
共 50 条
  • [31] Fusing sequential minimal optimization and Newton’s method for support vector training
    Shigeo Abe
    International Journal of Machine Learning and Cybernetics, 2016, 7 : 345 - 364
  • [32] A hybrid multiagent approach for global trajectory optimization
    Massimiliano Vasile
    Marco Locatelli
    Journal of Global Optimization, 2009, 44 : 461 - 479
  • [33] Dynamic search trajectory methods for global optimization
    Stamatios-Aggelos N. Alexandropoulos
    Panos M. Pardalos
    Michael N. Vrahatis
    Annals of Mathematics and Artificial Intelligence, 2020, 88 : 3 - 37
  • [34] Dynamic search trajectory methods for global optimization
    Alexandropoulos, Stamatios-Aggelos N.
    Pardalos, Panos M.
    Vrahatis, Michael N.
    ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE, 2020, 88 (1-3) : 3 - 37
  • [36] A hybrid multiagent approach for global trajectory optimization
    Vasile, Massimiliano
    Locatelli, Marco
    JOURNAL OF GLOBAL OPTIMIZATION, 2009, 44 (04) : 461 - 479
  • [37] A hybrid method for quantum global optimization
    Liu, Yipeng
    Koehler, Gary J.
    JOURNAL OF GLOBAL OPTIMIZATION, 2012, 52 (03) : 607 - 626
  • [38] A hybrid method for quantum global optimization
    Yipeng Liu
    Gary J. Koehler
    Journal of Global Optimization, 2012, 52 : 607 - 626
  • [39] An enhanced particle swarm optimization with levy flight for global optimization
    Jensi, R.
    Jiji, G. Wiselin
    APPLIED SOFT COMPUTING, 2016, 43 : 248 - 261
  • [40] Newton-type multilevel optimization method
    Ho, Chin Pang
    Kocvara, Michal
    Parpas, Panos
    OPTIMIZATION METHODS & SOFTWARE, 2022, 37 (01) : 45 - 78