Volume 55, 2021Regular 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|
|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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.