Evolutionary Algorithms for Minimax Problems in Robust Design

被引:55
|
作者
Cramer, Aaron M. [1 ]
Sudhoff, Scott D. [2 ]
Zivi, Edwin L. [3 ]
机构
[1] PC Krause & Associates, W Lafayette, IN 47906 USA
[2] Purdue Univ, W Lafayette, IN 47907 USA
[3] USN Acad, Annapolis, MD 21402 USA
关键词
Coevolution; evolutionary algorithms; minimax optimization; robust design;
D O I
10.1109/TEVC.2008.2004422
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Many robust design problems can be described by minimax optimization problems. Classical techniques for solving these problems have typically been limited to a discrete form of the problem. More recently, evolutionary algorithms, particularly coevolutionary optimization techniques, have been applied to minimax problems. A new method of solving minimax optimization problems using evolutionary algorithms is proposed. The performance of this algorithm is shown to compare favorably with the existing methods on test problems. The performance of the algorithm is demonstrated on a robust pole placement problem and a ship engineering plant design problem.
引用
收藏
页码:444 / 453
页数:10
相关论文
共 50 条
  • [31] Minimax Robust MIMO Radar Waveform Design
    Yang, Yang
    Blum, Rick S.
    IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2007, 1 (01) : 147 - 155
  • [32] Minimax design of robust controllers for flexible systems
    Singh, T
    PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 2510 - 2515
  • [33] Strong duality for robust minimax fractional programming problems
    Jeyakumar, V.
    Li, G. Y.
    Srisatkunarajah, S.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2013, 228 (02) : 331 - 336
  • [34] APPROXIMATES SOLUTIONS IN ROBUST MINIMAX PROGRAMMING PROBLEMS WITH APPLICATIONS
    Hong, Zhe
    Kim, Do sang
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (12) : 3193 - 3208
  • [35] Increasing parallelism of evolutionary algorithms by Nash games in design inverse flow problems
    Leskinen, Jyri
    Wang, Hong
    Periaux, Jacques
    ENGINEERING COMPUTATIONS, 2013, 30 (04) : 581 - 600
  • [36] Solving Multicommodity Capacitated Network Design Problems Using Multiobjective Evolutionary Algorithms
    Kleeman, Mark P.
    Seibert, Benjamin A.
    Lamont, Gary B.
    Hopkinson, Kenneth M.
    Graham, Scott R.
    IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, 2012, 16 (04) : 449 - 471
  • [37] Comparison among evolutionary algorithms and classical optimization methods for circuit design problems
    Anile, AM
    Cutello, V
    Nicosia, G
    Rascunà, R
    Spinella, S
    2005 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION, VOLS 1-3, PROCEEDINGS, 2005, : 765 - 772
  • [38] Evolutionary algorithms for aerofoil design
    De Falco, I
    Della Cioppa, A
    Iazzetta, A
    Tarantino, E
    INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 1998, 11 (1-2) : 51 - 77
  • [39] Evolutionary algorithms in drug design
    Lameijer E.-W.
    Bäck T.
    Kok J.N.
    Ijzerman A.P.
    Natural Computing, 2005, 4 (3) : 177 - 243
  • [40] Evolutionary algorithms for constraint satisfaction problems
    Riff, MC
    SCCC'98 - XVIII INTERNATIONAL CONFERENCE OF THE CHILEAN SOCIETY OF COMPUTER SCIENCE, PROCEEDINGS, 1998, : 158 - 165