An application of swarm optimization to nonlinear programming

Computers and Mathematics with Applications

Volumn 49, Issue 11-12, 2005, Pages 1655-1668

  Dong, Ying ^a   Tang, Jiafu ^a   Xu, Baodong ^a   Wang, Dingwei ^a  

^a NORTHEASTERN UNIVERSITY   (China)

Author keywords

Evolutionary algorithm; Global optimization; Nonlinear programming; Particle swarm optimization; Priority based ranking

Indexed keywords

ALGORITHMS; NONLINEAR SYSTEMS; OPTIMIZATION; PROBLEM SOLVING;

FITNESS FUNCTIONS; PARTICLE SWARM OPTIMIZATION (PSO); RANDOM SOLUTIONS;

NONLINEAR PROGRAMMING;

EID: 27544437862     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.02.006     Document Type: Article

References (24)

1. M.S. Bazarra, and L.M. Shetty Nonlinear Programming: Theory and Algorithms 1979 John Wiley and Sons Boston, MA 124 159
2. M.S. Bazarra, and L.M. Shetty Nonlinear Programming: Theory and Algorithms 1979 John Wiley and Sons New York 373 378
3. R.Y.K. Fung, J.F. Tang, and D. Wang Extension of a hybrid genetic algorithm for nonlinear programming problems with equality and inequality constraints Computers and Operations Research 29 2002 261 274
4. Y. Li, and M. Gen Non-linear mixed integer programming problems using genetic algorithm and penalty function Proceedings of 1996 IEEE Int. Conf. on SMC 1996 2677 2682
5. Y. Takao, M. Gen, T. Takeaki, and Y. Li A method for interval 0-1 number non-linear programming problems using genetic algorithm Computers and Industrial Engineering 29 1995 531 535
6. J.F. Tang, and D. Wang A hybrid genetic algorithm for a type of nonlinear programming problem Computers Math. Applic. 36 5 1998 11 21
7. J. Su, A. Hu, and Z. He Solving a kind of nonlinear programming problems via analog neural networks Neurocomputing 18 1998 1 9
8. Z.L. Wang, L. Qiu, Q. Fu, and C. Liang Application of chaos optimization algorithm to nonlinear constrained programming (in Chinese) Journal of North China Institute of Water Conservancy and Hydroelectric Power 23 2 2002 1 3
9. M. Dorigo, V. Maniezzo, and A. Colori Ant system: Optimization by a colony of cooperating agents IEEE Trans On System, Man, and Cybernetics 26 1 1996 28 41
10. L.X. Yan, and D. Ma Global optimization of non-convex nonlinear programs using line-up competition algorithm Computers and Chemical Engineering 25 2001 1601 1610
11. F. Glover Genetic algorithm and tabu search: Hybrid for optimizations Computers and Operations Research 22 1995 111 134
12. T.C. Lin Applying the genetic approach to simulated annealing in solving some NP-hard problems IEEE Trans. On SMC 23 1993 1752 1766
13. R. Ostermark Solving a nonlinear non-convex trim loss problem with a genetic hybrid algorithm Computers and Operations Research 26 1999 623 635
14. J. Kennedy, and R. Eberhart Particle swarm optimization Proc. IEEE Int. Conf. on Neural Networks 1942-1948, Piscataway, NJ 1995
15. R. Eberhart, and J. Kennedy A new optimizer using particle swarm theory Proc. 6th Int. Symposium on Micro Machine and Human Science 39-43, Nagoya, Japan 1995
16. Y. Shi, and R. Eberhart A modified particle swarm optimizer Proc. IEEE Int. Conf. on Evolutionary Computation 1998 69 73
17. Anchorage, AK J. Kennedy, and W.M. Spears Matching algorithms to problems: An experimental tests of the particle swarm and some genetic algorithms on the multimodal problem generator Proc IEEE Int Conf on Evolutionary Computation 1998 78 83
18. X.F. Xie, W.J. Zhang, J. Ruan, and Z.L. Yang Genetic algorithm for constrained nonlinear programming problems (in Chinese) Computer Engineering and Application 21 2002 64 67
19. T. Back Evolutionary Algorithms in Theory and Practice 1996 Oxford University Press New York
20. Tsinghua, Beijing B.D. Liu, and R. Zhao Stochastic Programming and Fuzzy Programming (in Chinese) 2001 26 33
21. J.F. Tang, K.L. Yung, and A.W.H. Ip Heuristics-based integrated decision for logistic networks systems Journal of Manufacturing Systems 23 1 2004 1 13
22. M.M. Millonas Swarms, phase transition, and collective intelligence C.G. Langton Artificial Life III 1994 Addison Wesley New York
23. Washington, DC P.N. Suganthan Particle swarm optimizer with neighbourhood operator [A] Proc of the Congress on Evolutionary Computation [C] 1999 1958 1962
24. th Annual Conf. on Evolutionary Programming 1998 591 600