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Towards Optimal Techniques for Solving Global Optimization Problems: Symmetry-Based Approach

In: Models and Algorithms for Global Optimization

Author

Listed:
  • Christodoulos A. Floudas

    (Princeton University)

  • Vladik Kreinovich

    (University of Texas at El Paso)

Abstract

In many practical situations, we have several possible actions, and we must choose the best action. For example, we must find the best design of an object, or the best control of a plant. The set of possible actions is usually characterized by parameters x = (x 1, ..., x n), and the result of different actions (controls) is characterized by an objective function f(x).

Suggested Citation

  • Christodoulos A. Floudas & Vladik Kreinovich, 2007. "Towards Optimal Techniques for Solving Global Optimization Problems: Symmetry-Based Approach," Springer Optimization and Its Applications, in: Aimo Törn & Julius Žilinskas (ed.), Models and Algorithms for Global Optimization, pages 21-42, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-36721-7_2
    DOI: 10.1007/978-0-387-36721-7_2
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    Citations

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    Cited by:

    1. A. Skjäl & T. Westerlund & R. Misener & C. A. Floudas, 2012. "A Generalization of the Classical αBB Convex Underestimation via Diagonal and Nondiagonal Quadratic Terms," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 462-490, August.
    2. James M. Calvin & Yvonne Chen & Antanas Žilinskas, 2012. "An Adaptive Univariate Global Optimization Algorithm and Its Convergence Rate for Twice Continuously Differentiable Functions," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 628-636, November.
    3. Andreas Lundell & Anders Skjäl & Tapio Westerlund, 2013. "A reformulation framework for global optimization," Journal of Global Optimization, Springer, vol. 57(1), pages 115-141, September.

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