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New Underestimator for Twice Differentiable Functions with Bounded Variables

Author

Listed:
  • AAID DJAMEL

    (University of Batna, Batna, Algeria)

  • NOUI AMEL

    (University of Batna, Batna, Algeria)

  • OUANES MOHAND

    (University of Tizi-Ouzou, Tizi-Ouzou, Algeria)

Abstract

In this article, we propose a new technique of global optimization for an optimization problem with the second derivative of the objective that is bounded function of a single variable with box constraint. The method employs a piecewise underestimation, where the former is a continuous piecewise function underestimator. The purpose of this work is to find the right value of the lower bound in a competitive time. Our method converges to the global optimum. The numerical tests show clearly the impact of our contributions.

Suggested Citation

  • Aaid Djamel & Noui Amel & Ouanes Mohand, 2017. "New Underestimator for Twice Differentiable Functions with Bounded Variables," International Journal of Applied and Physical Sciences, Dr K.Vivehananthan, vol. 3(1), pages 13-19.
    • Handle: RePEc:apa:ijapss:2017:p:13-19
    DOI: 10.20469/ijaps.3.50003-1.pdf
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