Publications

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2016
Salmerón, J. M. G., P. Amaral, L. G. Casado, E. M. T. Hendrix, and J. Żilinskas. "On Regular Simplex Refinement in Copositivity Detection." XIII global optimization workshop GOW2016 4-8 September 2016. 2016. 163-166. Abstract
n/a
2014
Gomes, Isabel, Jorge Santos, Luís Cavique, Nelson C. Martins, Manuel Vieira, Paula Amaral, Raquel Barreira, and Vitor H. Fernandes AMT (airline maintenance technicians) timetabling optimization- ESGI101 - Relatório Final- TAP-AMT. ESGI 101, FCT, UNL, 2014, 2014. Abstract
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2012
Hendrix, Eligius M. T., Leocadio G. Casado, and Paula Amaral. "Global Optimization Simplex Bisection Revisited Based on Considerations by Reiner Horst." Lecture Notes in Computer Science - ICSSA2012 . 7335 (2012): 159-173. AbstractWebsite

In this paper, the use of non-optimality spheres in a simplicial branch and bound (B&B) algorithm is investigated. In this context, some considerations regarding the use of bisection on the longest edge in relation with ideas of Reiner Horst are reminded. Three arguments highlight the merits of bisection of simplicial subsets in B&B schemes.