Engineering optimization using a real-parameter genetic-algorithm-based hybrid method

References

• Adler , D. Genetic algorithms and simulated annealing: a marriage proposal . IEEE International Conference on Neural Networks . pp. 1104 – 1109 .
   Google Scholar
• Ali , N. , Behdinan , K. and Fawaz , Z. 2003 . Applicability and viability of a GA based on finite element analysis architecture for structural design optimization . J. Comput. Struct. , 81 : 2259 – 2271 .
   Web of Science ®Google Scholar
• Bauer , J. , Gutkowski , W. and Iwanow , Z. 1981 . A discrete method for lattice structures optimisation . Engng. Optimization , 5 : 121 – 128 .
   Web of Science ®Google Scholar
• Balling , R. J. 1991 . Optimal steel frame design by simulated annealing . J. Struct. Eng. , 117 : 1780 – 1795 .
   Web of Science ®Google Scholar
• Belegundu , A. D. 1982 . “ A Study of mathematical programming methods for structural optimization ” . Iowa : University of Iowa City . PhD thesis
   Google Scholar
• Bremicker , M. , Papalambros , P. Y. and Loh , H. T. 1990 . Solution of mixed–discrete structural optimization problems with a new sequential linearization algorithm . J. Comput. Struct. , 37 ( 4 ) : 451 – 461 .
   Web of Science ®Google Scholar
• Camp , C. , Shahram , P. and Guozhong , C. 1998 . Optimized design of two–dimensional structures using genetic algorithm . J. Struct. Eng. , 124 ( 5 ) : 551 – 559 .
   Web of Science ®Google Scholar
• Cha , J. Z. and Mayne , R. W. 1989 . Optimization with discrete variables via recursive quadratic programming . J. Mech. Div. ASME , 113 : 312 – 317 .
   Web of Science ®Google Scholar
• Coello , C. A. and Christiansen , A. D. 2000 . Multiobjective optimization of trusses using genetic algorithms . J. Comput. Struct. , 75 : 647 – 660 .
   Web of Science ®Google Scholar
• Dejong , K. A. 1975 . “ Analysis of the behavior of a class of genetic adaptive systems ” . Ann Arbor, MI : University of Michigan . PhD thesis
   Google Scholar
• Duan , M. Z. 1986 . An improved Templeman's algorithm for the optimum design of trusses with discrete member sizes . Engng. Optimization , 9 : 303 – 312 .
   Google Scholar
• Erbatur , F. , Hasançebi , O. , Tütüncü , L. and Kılıç , H. 2000 . Optimal design of planar and space structures with genetic algorithms . J. Comput. Struct. , 75 : 209 – 24 .
   Web of Science ®Google Scholar
• Fu , K. C. 1973 . An application of search technique in truss configurational optimization . J. Comput. Struct. , 3 : 315 – 328 .
   Google Scholar
• Goldberg , D. E. 1989 . Genetic Algorithms in Search, Optimization, and Machine Learning , Reading, MA : Addison-Wesley .
   Google Scholar
• Grefenstette , J. J. 1986 . Optimisation of control parameters for genetic algorithms . IEEE Trans. Systems Man Cybern. , SMC-16 ( 1 ) : 122 – 128 .
   Web of Science ®Google Scholar
• Hansen , S. R. and Vanderplaats , G. N. 1989 . Approximation method for configuration optimization of trusses . AIAA J. , 27 ( 3 ) : 352 – 8 .
   Google Scholar
• Holland , J. H. 1975 . Adaptation in Natural and Artificial Systems , Ann Arbor, MI : University of Michigan Press .
   Google Scholar
• Hwang , S. F. and He , R. S. 2006a . A hybrid real-parameter genetic algorithm for function optimization . Adv. Eng. Inform. , 20 ( 1 ) : 7 – 21 .
   Web of Science ®Google Scholar
• Hwang , S. F. and He , R. S. 2006b . Improving real–parameter genetic algorithm with simulated annealing for engineering problems . Adv. Eng. Soft. , 37 ( 6 ) : 406 – 418 .
   Web of Science ®Google Scholar
• Kirkpatrick , S. , Gelatt , C. D.J. and Vecchi , M. P. 1983 . Optimisation by simulated annealing . Science , 220 ( 4598 ) : 671 – 680 .
   PubMed Web of Science ®Google Scholar
• Kunar , R. R. and Chan , A. S.L. 1976 . A method for the configurational optimization of structures . Comput. Methods Appl. Mech. Eng. , 7 ( 3 ) : 331 – 350 .
   Google Scholar
• Kuritz , S. P. and Fleury , C. 1989 . Mixed variable structural optimisation using convex linearization techniques . Engng. Optimization , 15 ( 1 ) : 27 – 41 .
   Google Scholar
• Lipson , S. L. and Gwin , L. B. 1977a . The complex method applied to optimal truss configuration . J. Comput. Struct. , 7 : 461 – 468 .
   Google Scholar
• Lipson , S. L. and Gwin , L. B. 1977b . Discrete sizing of trusses for optimal geometry . J. Struct. Div. ASCE , 103 ( 5 ) : 1031 – 1046 .
   Google Scholar
• Luenberger , D. G. 1975 . Linear and Nonlinear Programming , Reading, MA : Addison-Wesley .
   Google Scholar
• Metropolis , N. , Rosenbluth , A. , Rosenbluth , M. , Teller , A. and Teller , E. 1953 . Equation of state calculations by fast computing machines . J. Chem. Phys. , 21 ( 6 ) : 1087 – 1092 .
   Web of Science ®Google Scholar
• May , S. A. and Balling , R. J. 1992 . A filtered simulated annealing strategy optimization of 3D steel frameworks . Struct. Optimiz. , 4 : 142 – 148 .
   Web of Science ®Google Scholar
• Michalewicz , Z. , Dasgupta , D. , Riche , R. G.L. and Schoenauer , M. 1996 . Evolutionary algorithms for constrained engineering problems . Comput. Ind. Eng. , 30 ( 4 ) : 851 – 870 .
   Web of Science ®Google Scholar
• Manoharan , S. and Shanmuganthan , S. 1999 . A comparison of search mechanisms for structural optimization . J. Comput. Struct. , 73 : 363 – 372 .
   Web of Science ®Google Scholar
• Nanakorn , P. and Konlakarn , M. 2001 . An adaptive penalty function in genetic algorithms for structural design optimization . J. Comput. Struct. , 79 : 2527 – 2539 .
   Web of Science ®Google Scholar
• Nemhauser , G. L. and Wolsey , L. A. 1988 . Integer and Combinatorial Optimization , New York : John Wiley .
   Google Scholar
• Pantelides , C. P. and Tzan , S. R. 1997 . Optimal design of dynamically constrained structures . J. Comput. Struct. , 62 : 141 – 149 .
   Web of Science ®Google Scholar
• Pyrz , M. 1990 . Discrete optimisation of trusses with stability constraints . Engng. Optimization , 16 ( 2 ) : 79 – 89 .
   Google Scholar
• Qian , L. X. , Zhang , W. X. , Siu , Y. K. and Zhang , J. T. 1982 . Efficient optimum design of structures—program DDDU . Comput. Methods Appl. Mech. Eng. , 30 : 209 – 224 .
   Web of Science ®Google Scholar
• Rajan , S. D. 1995 . Sizing, shape, and topology design optimization of trusses using genetic algorithm . J. Struct. Eng , 121 ( 10 ) : 1480 – 1487 .
   Web of Science ®Google Scholar
• Rajeev , S. and Krishnamoorthy , C. S. 1992 . Discrete optimization of structures using genetic algorithms . J. Struct. Eng. ASCE , 118 : 233 – 250 .
   Web of Science ®Google Scholar
• Ringertz , U. T. 1988 . On methods for discrete structural optimisation . Engng. Optimization , 13 : 47 – 64 .
   Google Scholar
• Schmit , L. A. and Miura , H. 1975 . Approximation concepts for efficient structural synthesis . NASA Report CR–2552
   Google Scholar
• Schaffer , J. D. , Caruana , R. A. , Eshelman , L. J. and Das , R. A study of control parameters affecting online performance on genetic algorithms for function optimization . 3rd International Conference on Genetic Algorithms , pp. 51 – 60 .
   Google Scholar
• Szewczyk , Z. and Hajela , P. 1993 . Neural network approximations in a simulated annealing based optimal structural design . Struct. Optimiz. , 5 : 159 – 165 .
   Web of Science ®Google Scholar
• Thanedar , P. B. and Vanderplaats , G. N. 1995 . Survey of discrete variable optimization for structural design . J. Struct. Eng. ASCE , 121 ( 2 ) : 301 – 306 .
   Web of Science ®Google Scholar
• Tzan , S. R. and Pantelides , C. P. 1996 . Annealing strategy for optimal structural design . J. Struct. Eng. , 122 ( 7 ) : 815 – 827 .
   Web of Science ®Google Scholar
• Venkayya , V. B. 1971 . Design of optimum structures . J. Comput. Struct. , 1 : 265 – 309 .
   Google Scholar
• Wu , S. J. and Chow , P. T. 1995 . Integrated discrete and configuration optimization of trusses using genetic algorithms . J. Comput. Struct. , 55 ( 4 ) : 695 – 702 .
   Web of Science ®Google Scholar