A new approach for non-convex optimisation problems applied to Hump and benchmark functions Online publication date: Mon, 24-Jul-2023
by Fadila Leslous; Mouloud Goubi; Mohand Ouanes
International Journal of Mathematics in Operational Research (IJMOR), Vol. 25, No. 3, 2023
Abstract: A new approach for solving multivariate global optimisation problems with a single objective function or multiobjective functions. Our method consists in reducing the multivariate case to the univariate case and then we solve an univariate global optimisation problem over an interval of ℝ. To do this, a change of variables combined with algebraic tools and Newton method are used. An algorithm is derived to find a global optimal solution of the original problem.
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