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Efficient combination of two lower bound functions in univariate global optimization

Mohand Ouanes (ouanes_mohand***at***yahoo.fr)

Abstract: We propose a new method for solving univariate global optimization problems by combining a lower bound function of ®BB method (see [1]) with the lower bound function of the method developed in [4]. The new lower bound function is better than the two lower bound functions. We add the convex/concave test and pruning step which accelerate the convergence of the proposed method. Illustrative examples are treated efficiently.

Keywords: Global optimization, ®BB method, quadratic lower bound function, Branch and Bound, pruning method

Category 1: Global Optimization

Citation: Submitted

Download: [PDF]

Entry Submitted: 03/27/2014
Entry Accepted: 03/31/2014
Entry Last Modified: 04/01/2014

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