| Issue |
RAIRO-Oper. Res.
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|
|
|---|---|---|
| Page(s) | S2373 - S2381 | |
| DOI | https://doi.org/10.1051/ro/2020088 | |
| Published online | 02 March 2021 | |
Tighter bound functions for nonconvex functions over simplexes
LAROMAD, Département de Mathématiques, Faculté des Sciences, Université Mouloud Mammeri, Tizi-Ouzou, Algérie
* Corresponding author: ouanes_mohand@yahoo.fr
Received:
23
March
2020
Accepted:
6
August
2020
In this paper, we propose new lower and upper bound functions which can be used in computing a range of nonconvex functions over simplexes of Rn, or for solving global optimization problems over simplexes. We show that the new bounding functions are tighter than the classical bounding functions developed in the αBB method and the QBB method.
Mathematics Subject Classification: 65K05 / 90C30 / 90C34
Key words: Global optimization / range of functions / convex lower bound function / concave upper bound function
© EDP Sciences, ROADEF, SMAI 2021
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