Evolutionary algorithms approach to the solution of mixed integer non-linear programming problems

被引:161
作者
Costa, L [1 ]
Oliveira, P [1 ]
机构
[1] Univ Minho, Dept Prod & Syst Engn, P-4710 Braga, Portugal
关键词
evolutionary algorithms; genetic algorithms; evolution strategies; mixed integer non-linear programming;
D O I
10.1016/S0098-1354(00)00653-0
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The global optimization of mixed integer non-linear problems (MINLP), constitutes a major area of research in many engineering applications. In this work, a comparison is made between an algorithm based on Simulated Annealing (M-SIMPSA) and two Evolutionary Algorithms: Genetic Algorithms (GAs) and Evolution Strategies (ESs). Results concerning the handling of constraints, through penalty functions, with and without penalty parameter setting, are also reported. Evolutionary Algorithms seem a valid approach to the optimization of non-linear problems. Evolution Strategies emerge as the best algorithm in most of the problems studied. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:257 / 266
页数:10
相关论文
共 24 条
[1]  
[Anonymous], 1989, GENETIC ALGORITHM SE
[2]  
Baker J. E., 1987, P 2 INT C GEN ALG, P14, DOI DOI 10.1007/S10489-006-0018-Y
[3]  
BANGA JR, 1996, GLOBAL OPTIMIZATION, P563
[4]   The simplex-simulated annealing approach to continuous non-linear optimization [J].
Cardoso, MF ;
Salcedo, RL ;
DeAzevedo, SF .
COMPUTERS & CHEMICAL ENGINEERING, 1996, 20 (09) :1065-1080
[5]   A simulated annealing approach to the solution of MINLP problems [J].
Cardoso, MF ;
Salcedo, RL ;
de Azevedo, SF ;
Barbosa, D .
COMPUTERS & CHEMICAL ENGINEERING, 1997, 21 (12) :1349-1364
[6]   NONEQUILIBRIUM SIMULATED ANNEALING - A FASTER APPROACH TO COMBINATORIAL MINIMIZATION [J].
CARDOSO, MF ;
SALCEDO, RL ;
DEAZEVEDO, SF .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1994, 33 (08) :1908-1918
[7]  
CARDOSO MMF, 1998, THESIS U OPORTO PORT
[8]  
DEB K, 1998, IN PRESS COMP METH A
[9]   EFFICIENT HANDLING OF THE IMPLICIT CONSTRAINTS PROBLEM FOR THE ASPEN MINLP SYNTHESIZER [J].
DIWEKAR, UM ;
RUBIN, ES .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1993, 32 (09) :2006-2011
[10]   AN MINLP PROCESS SYNTHESIZER FOR A SEQUENTIAL MODULAR SIMULATOR [J].
DIWEKAR, UM ;
GROSSMANN, IE ;
RUBIN, ES .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1992, 31 (01) :313-322