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Advances in development of dedicated evolutionary algorithms for large non-linear constrained optimization problems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Efficient optimization algorithms are of great importance in many scientific and engineering applications. This paper considers development of dedicated Evolutionary Algorithms (EA) based approach for solving large, non-linear, constrained optimization problems. The EA are precisely understood here as decimal-coded Genetic Algorithms consisting of three basic operators: selection, crossover and mutation, followed by several newly developed calculation speed-up techniques. Efficiency increase of the EA computations may be obtained in several ways, including simple concepts proposed here like: solution smoothing and balancing, a posteriori solution error analysis, non-standard use of distributed and parallel calculations, and step-by-step mesh refinement. Efficiency of the proposed techniques has been evaluated using several benchmark tests. These preliminary tests indicate significant speed-up of the large optimization processes involved. Considered are applications of the EA to the sample problem of residual stresses analysis in elastic-plastic bodies being under cyclic loadings, and to a wide class of problems resulting from the Physically Based Approximation (PBA) of experimental data.
Rocznik
Tom
Strony
25--29
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
autor
  • Faculty of Physics Astronomy and Applied Computer Science Jagiellonian University Reymonta 4, 30-059 Kraków, Poland
autor
  • Institute for Computational Civil Engineering Cracow University of Technology Warszawska 24, 31-155 Kraków, Poland
Bibliografia
  • 1. J. ORKISZ, M. GŁOWACKI, On acceleration of evolutionary algorithms taking advantage from aposteriori error analysis, Computing and Informatics, accepted for publication.
  • 2. J. ORKISZ, M. GŁOWACKI, On certain improvements for evolutionary algorithms applied to residual stresses analysis, in CMM 2013 Short Papers, T. Łodygowski et al. [Eds.], Poznań University of Technology, Poznań, MS05-7-8, 2013.
  • 3. J. ORKISZ, M. GŁOWACKI, On stress reconstruction using experimental data the PBA and accelerated EA, in ECCOMAS 2013. Conference Proceedings, 'L. Waszczyszyn, L. Ziemiański [Eds.], Rzeszów University of Technology, Rzeszów, 43-44, 2013.
  • 4. T. BURCZYNSKI, P. ORANTEK, Evolutionary and hybrid algorithms, in Neural Networks, Genetic Algorithms, Fuzzy Sets [in Polish], BEL, Rzeszów, 99-117, 1999.
  • 5. C. GROSAN, A. ABRAHAM, H. ISHIBUCHI [Eds.], Hybrid evolutionary algorithms, Studies in Computational Intelligence 75, Springer, 2007.
  • 6. W. Kus, T. BURCZYNSKI, Parallel bioinspired algorithms in optimization of structures, Lecture Notes in Computational Sciences 4967/2008, Springer, 1285-1292, 2008.
  • 7. N. NEDJAH, E. ALBA, L. MOURELLE [Eds.], Parallel evolutionary computations, Studies in Computational Intelligence 22, Springer, 2006.
  • 8. R. HILL, The mathematical theory of plasticity, Oxford University Press, New York, 2004.
  • 9. J. ORKISZ, Prediction of actual residual stresses by constrained minimization of energy, in Residual Stress in Rails, Orringer O., Orkisz J., Swiderski Z. [Eds.], Kluwer Academic Publisher 2, 101-124, 1992.
  • 10. J. ORKISZ et al, Development of advanced methods for theoretical prediction of shakedown stress states and physically based enhancement of experimental data, US DOT report, DTFR53-03-G-00012, Cracow, 2004.
  • 11. W. KARMOWSKI, J. ORKISZ, Physically Based Method of Enhancement of Experimental Data - Concepts, Formulation and Application to Identification of Residual Stresses, Proc. of IUTAM Symp. on Inverse Problems in Engng Mech., Tokyo, 1992, On Inverse Problems in Engineering Mechanics, M. Tanaka, H.D. Bui [Eds.], Springer-Verlag, pp. 61-70, 1993.
  • 12. A.P. ENGELBRECHT, Computational intelligence: an introduction, Wiley, Chichester, 2007.
  • 13. J. ORKISZ, T. LISZKA, The finite difference method at arbitrary irregular grids and itsapplications in applied mechanics, Computers and Structures 11, 83-95, 1980.
  • 14. K. SALKAUSKAS, P. LANCASTER, Curve and surface fitting, Academic Press, 1990.
  • 15. M. AINSWORTH, J.T. ODEN, Aposteriori error estimation in finite element analysis, Computer Methods in Applied Mechanics and Engineering 142, 1-88, 1997.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-41f94de1-7ac0-4eb0-9afb-e69ecb1782a9
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