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Fast Optimization Methods in the Selective Cooling of Steel

In: Online Optimization of Large Scale Systems

Author

Listed:
  • Karsten Eppler

    (Technische Universität Chemnitz, Fakultät für Mathematik)

  • Fredi Tröltzsch

    (Technische Universität Berlin, Fachbereich Mathematik)

Abstract

We consider the problem of cooling milled steel profiles at a maximum rate subject to given bounds on the difference of temperatures in prescribed points of the steel profile. This leads to a nonlinear parabolic control problem with state constraints in a 2D domain. The controls can admit values from continuous or discrete sets. A method of instantaneous control is applied to establish a fast solution technique. Moreover, continuous and discrete control strategies are compared, and conclusions are given from an applicational point of view.

Suggested Citation

  • Karsten Eppler & Fredi Tröltzsch, 2001. "Fast Optimization Methods in the Selective Cooling of Steel," Springer Books, in: Martin Grötschel & Sven O. Krumke & Jörg Rambau (ed.), Online Optimization of Large Scale Systems, pages 185-204, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04331-8_13
    DOI: 10.1007/978-3-662-04331-8_13
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