Optimal control of continuous casting by nondifferentiable multiobjective optimization

Optimal control of continuous casting by nondifferentiable multiobjective optimization

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Article ID: iaor20002912
Country: Netherlands
Volume: 11
Issue: 2
Start Page Number: 177
End Page Number: 194
Publication Date: Nov 1998
Journal: Computational Optimization and Applications
Authors: , ,
Keywords: engineering, optimization
Abstract:

A new version of an interactive NIMBUS method for nondifferentiable multiobjective optimization is described. It is based on the reference point idea and the classification of the objective functions. The original problem is transformed into a single objective form according to the classification information. NIMBUS has been designed especially to be able to handle complicated real-life problems in a user-friendly way. The NIMBUS method is used for solving an optimal control problem related to the continuous casting of steel. The main goal is to minimize the defects in the final product. Conflicting objective functions are constructed according to certain metallurgical criteria and some technological constraints. Due to the phase changes during the cooling process there exist discontinuities in the derivative of the temperature distribution. Thus, the problem is nondifferentiable. Like many real-life problems, the casting model is large and complicated and numerically demanding. NIMBUS provides an efficient way of handling the difficulties and, at the same time, aids the user in finding a satisficing solution. In the end, some numerical experiments are reported and compared with earlier results.

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