2026-05-30T12:56:47Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/351632026-02-03T11:12:54Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
G.-Tóth, Boglárka
author
Hendrix, Eligius María Theodorus
author
Casado, Leocadio G.
author
Messine, Fréderic
2024-11-15T09:55:08Z
2024-11-15T09:55:08Z
2024-07-22
Tóth, B.G., Hendrix, E.M.T. , Casado, L.G and Messine, F. (2024), On dealing with minima at the border of a simplicial feasible area in simplicial Branch and Bound , Journal of Optimization Theory and Applications, 203, 1880-1909
https://hdl.handle.net/10630/35163
10.1007/s10957-024-02480-9
We consider a simplicial branch and bound Global Optimization algorithm, where the search region is a simplex. Apart from using longest edge bisection, a simplicial partition set can be reduced due to monotonicity of the objective function. If there is a direction in which the objective function is monotone over a simplex, depending on whether the facets that may contain the minimum are at the border of the search region, we can remove the simplex completely, or reduce it to some of its border facets. Our research question deals with finding monotone directions and labeling facets of a simplex as border after longest edge bisection and reduction due to monotonicity. Experimental results are shown over a set of global optimization problems where the feasible set is defined as a simplex, and a global minimum point is located at a face of the simplicial feasible area.
eng
Attribution 4.0 Internacional
Programación matemática
On Dealing with Minima at the Border of a Simplicial Feasible Area in Simplicial Branch and Bound.
journal article
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URL
https://riuma.uma.es/bitstreams/ac07b90b-aa1c-420a-bcf3-d5ffb844cc96/download
File
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94f4123c9546e766c5865cb2209f6aa7
804602
application/pdf
2024_JOTA_simplex.pdf