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A study on the treatment of a max-value cost function in parametric optimization
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 Title & Authors
A study on the treatment of a max-value cost function in parametric optimization
Kim, Min-Soo; Choi, Dong-Hoon;
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This study explores the treatment of the max-value cost function over a parameter interval in parametric optimization. To avoid the computational burden of the transformation treatment using an artificial variable, a direct treatment of the original max-value cost function is proposed. It is theoretically shown that the transformation treatment results in demanding an additional equality constraint of dual variables as a part of the Kuhn-Tucker necessary conditions. Also, it is demonstrated that the usability and feasibility conditions on the search direction of the transformation treatment retard convergence rate. To investigate numerical performances of both treatments, typical optimization algorithms in ADS are employed to solve a min-max steady-state response optimization. All the algorithm tested reveal that the suggested direct treatment is more efficient and stable than the transformation treatment. Also, the better performing of the direct treatment over the transformation treatment is clearly shown by constrasting the convergence paths in the design space of the sample problem. Six min-max transient response optimization problems are also solved by using both treatments, and the comparisons of the results confirm that the performances of the direct treatment is better than those of the tranformation treatment.
Parametric Optimization;Max-value Cost Function;Parametric Constraintrk;Direct Treatment;Transformation Treatment;
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대한기계학회논문집A, 2005. vol.29. 7, pp.1013-1021 crossref(new window)
Applied Optimal Design, 1979.

Computer Methods in Applied mechanics and Engineering, 1984. vol.43. pp.195-219

Computer Methods in Applied Mechanics and Engineering, 1985. vol.48. pp.171-189

ASME Journal of mechanism, Transmission and Automation in Design, 1989. vol.111. pp.73-80

International Journal for Numerical Methods in Engineering, 1994. vol.37. pp.413-430

ADS-A FORTRAN Program for Automated Design Synthesis Version 1.10, 1985.

Integrated Design Optimization Library 3.0 for Advanced Design, 1996.

Elements of Structural Optimization(3th Edition), 1992.

AIAA Journal, 1986. vol.24. 4, pp.649-656

Mechanical Vibrations(3rd Edition), 1956.

Proceedings of the NATO Advanced Study Institute on Linear Algebra for Large Scale and Real-Time Applications, 1992. pp.21-48

대한기계학회논문집, 1995. vol.19. 2, pp.433-442