Abstract
Simplicial based Global Optimization branch and bound methods require tight bounds on the objective function value. Recently, a renewed interest appears on bound calculation based on Interval Arithmetic by Karhbet and Kearfott [Reliable Comput. 25 (2017) 53–73] and on exploiting second derivative bounds by Mohand [RAIRO Oper. Res. 55 (2021) S2373–S238]. The investigated question here is how partial derivative ranges can be used to provide bounds of the objective function value over the simplex. Moreover, we provide theoretical properties of how this information can be used from a monotonicity perspective to reduce the search space in simplicial branch and bound.
Funder
Spanish ministry of science
Subject
Management Science and Operations Research,Computer Science Applications,Theoretical Computer Science
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On Monotonicity Detection in Simplicial Branch and Bound over a Simplex;Computational Science and Its Applications – ICCSA 2022 Workshops;2022