Optimization and Verification of Parameters Used in Successive Zooming Genetic Algorithm

순차적 주밍 유전자 알고리즘 기법에 사용되는 파라미터의 최적화 및 검증

  • 권영두 (경북대학교 기계공학과) ;
  • 권현욱 (경북대학교 기계공학과 대학원) ;
  • 김재용 (경북대학교 기계공학과 대학원) ;
  • 진승보 (경북대학교 기계공학과 대학원)
  • Published : 2004.10.01

Abstract

A new approach, referred to as a successive zooming genetic algorithm (SZGA), is proposed for identifying a global solution, using continuous zooming factors for optimization problems. In order to improve the local fine-tuning of the GA, we introduced a new method whereby the search space is zoomed around the design variable with the best fitness per 100 generation, resulting in an improvement of the convergence. Furthermore, the reliability of the optimized solution is determined based on the theory of probability, and the parameter used for the successive zooming method is optimized. With parameter optimization, we can eliminate the time allocated for deciding parameters used in SZGA. To demonstrate the superiority of the proposed theory, we tested for the minimization of a multiple function, as well as simple functions. After testing, we applied the parameter optimization to a truss problem and wicket gate servomotor optimization. Then, the proposed algorithm identifies a more exact optimum value than the standard genetic algorithm.

Keywords

References

  1. 김수영, 서규열, 이동근, 신수철 (1997). '이귀주지식처리기법에 의한 선박의 주요 치수 최적화', 한국해양공학회지, 제11권, 제4호, pp 227-238
  2. 권영두, 권순범 (1999). '양수발전용 Pump-Turbine Hydro Parts의 일괄설계 시스템 개발', 현대중공업 최종보고서
  3. 이나리, 류연선, 김정태, 서경민, 조현만 (1999). '강관말뚝식 계류돌핀의 수치적 설계최적화', 한국해양공학회지, 제13권, 제3-1호, pp 3-11
  4. 이재관, 신효철 (2000). '민감도 고려된 유전 알고리즘을 이용한 최적화 방법에 관한 연구', 대학기계학회논문집 A권, 제24권, 제6호, pp 1529-1539
  5. Andre, J., Siarry, P. and Dognon, T. (2001). 'An Improvement of the Standard Genetic Algorithm Fighting Premature Convergence in Continuous Optimization',Advances in Engineering Software, Vol 32, pp 49-60 https://doi.org/10.1016/S0965-9978(00)00070-3
  6. Belegundu, A.D. and Chandrupatla, T.R. (1999). Optimization Concepts and Applications in Engineering, Prentice Hall
  7. Carroll, D.L. (1996). 'Genetic Algohthms and Optimizing Chemical Oxygen-Iodine Lasers,' Developments in Theoretical and Applied Mechanics, Vol 18, pp 411-424
  8. Chu, K.C. and Gang, F. (1995). 'Accelerated Genetic Algorithm: Combined with Local Search Techniques for Fast and Accurate Global Search', IEEE International Conference on Evolutionary Computation, Vol 1, pp 378 https://doi.org/10.1109/ICEC.1995.489177
  9. De Jong, K.A. (1975). An Analysis of the Behavior of a Class of Genetic Adaptive Systems, Doctoral Dissertation, The University of Michigan, Ann arbor, Michigan
  10. Goldberg, D.E. (1989). Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley
  11. Goldberg, D.E. and Kuo, C.H. (1987). 'Genetic Algorithm in Pipeline Optimization', Journal of Computing in Civil Engineering, Vol 1, No 2, pp 128-141 https://doi.org/10.1061/(ASCE)0887-3801(1987)1:2(128)
  12. Holland, J.H. (1975). Adaptation in Natural and Artificial systems, University of Michigan, Ann Arbor, MI, Internal Reports
  13. Krishnakumar, K. (1989). 'Micro-genetic Algorithms for Stationary and Non-stationary Function Optimization,' SPIE, Intelligent Control and Adaptive Systems, Vol 1196, pp 289-296
  14. Kwon, Y.D., Kwon, S.B., Jin, S.B. and Kim, J.Y. (2003). 'Convergence Enhanced Genetic Algohthm with Successive Zooming Method for Solving Continuous Optimization Problems', Computers and Sturctures, Vol 81, pp 1715-1725 https://doi.org/10.1016/S0045-7949(03)00183-4
  15. Schraudolph, N.N. and Belew, R.K. (1992). 'Dynamic Parameter Encoding for Genetic Algorithims', J. Mach Learn, Vol 9, pp 9-21