Abstract
Application of optimization methods in a design of various equipment requires that the methods are reliable even when the mathematical model is highly nonlinear. Some basic tests exist which allow testing reliability of optimization methods. But the success of an optimization method depends also upon how a mathematical model of a problem is built. An example is given how this should be done.
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References
Powell, M. J. D., A Fast Algorithm for Nonlinearly Constrained Optimization Calculations, Proceedings of the 1977 Dundee Biennial Conference on Numerical Analysis, Springer-Verlag, Berlin, pp. 144–157, 1978
Powell, M. J. D., Algorithms for Nonlinear Constraints that use Lagrangian Function, Mathematical Programming, 14, pp. 224–248, 1978.
Fleteher, R., Methods for Nonlinear Constraints, in Nonlinear Optimization 1981, Edited by M. J. D. Powell, Academic Press, London, pp. 185–211, 1982.
Fleteher, R., An Ideal Penalty Function for Nonlinear Programming with Inequalities, Mathematical Programming, 5, pp. 129–150, 1973.
Han, S. P., A Globally Convergent Method for Nonlinear Programming, Journal of Optimization Theory and Applications, Vol. 22, No. 5, pp. 297–309, July, 1977.
Powell, M. J. D., Extension to Subroutine VF02AD, in System Modeling and Optimization, Lecture Notes in Control and Information Sciences 38, Edited by R. F. Drenick and F. Kozin, Springer-Verlag, New York, pp. 529–538, 1982.
Schinziger, R., Optimization in Electromagnetic System Design, in Recent Advances in Optimization Techniques, Edited by A. Lavi and T. P. Vogl, John Wiley and Sons, pp. 163–213, 1965.
Bartholomew-Biggs, A Numerical Comparison Between Two Approaches to the Nonlinear Programming Problem, in Towards Global Optimization, Vol. 2, Edited by L. C. W. Dixon, and G. P. Szego, North Holland Publishing Company, pp. 293–312, 1978.
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© 1991 Computational Mechanics Publications
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Novak, B. (1991). Reliability and Applicability of Nonlinear Optimization Software. In: Brebbia, C.A., Ferrante, A.J. (eds) Reliability and Robustness of Engineering Software II. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3026-4_16
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DOI: https://doi.org/10.1007/978-94-011-3026-4_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85312-132-6
Online ISBN: 978-94-011-3026-4
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