Interval branch-and-bound algorithms for optimization and constraint satisfaction: a survey and prospects

I Araya, V Reyes - Journal of Global Optimization, 2016 - Springer
Abstract Interval Branch and Bound algorithms are used to solve rigorously continuous
constraint satisfaction and constrained global optimization problems. In this paper, we …

New approaches in reliability based optimization of tuned mass damper in presence of uncertain bounded parameters

E Mrabet, M Guedri, M Ichchou, S Ghanmi - Journal of Sound and Vibration, 2015 - Elsevier
This work deals with control of vibrating structures using tuned mass damper (TMD) in
presence of uncertain bounded structural parameters. The adopted optimization strategy of …

A revised monotonicity-based method for computing tight image enclosures of functions

I Araya, V Reyes - Journal of Global Optimization, 2024 - Springer
The computation of tight interval image enclosures of functions over bounded variable
domains is in the heart of interval-based branch and bound optimization (and constraint …

Interval tools in branch-and-bound methods for global optimization

J Fernández, B G.-Tóth - The Palgrave Handbook of Operations Research, 2022 - Springer
Interval analysis has been applied with success at solving continuous nonlinear
programming problems. In this chapter we review the most relevant research on interval …

Robust set‐membership parameter estimation of the glucose minimal model

P Herrero, B Delaunay, L Jaulin… - … Journal of Adaptive …, 2016 - Wiley Online Library
The minimal model of glucose‐insulin dynamics is currently being used in several diabetes‐
related applications, such as investigating the glucose metabolism, and in the developments …

Model-order reduction using interval constraint solving techniques

L Valera, M Ceberio - 2016 - scholarworks.utep.edu
Model-Order Reduction Using Interval Constraint Solving Techniques Page 1 University of
Texas at El Paso ScholarWorks@UTEP Departmental Technical Reports (CS) Computer …

Adaptive filtering strategy for numerical constraint satisfaction problems

I Araya, R Soto, B Crawford - Expert Systems with Applications, 2015 - Elsevier
The reliability and increasing performance of search-tree-based interval solvers for solving
numerical systems of constraints make them applicable to various expert system domains …

Comparison of strategies for solving global optimization problems using speculation and interval computations

AFG Contreras, M Ceberio - 2016 Annual Conference of the …, 2016 - ieeexplore.ieee.org
Many real-life situations require that a match between quantities, behaviors, etc. be found.
That is the case, for instance, when scientists try to find a fit between two sets of data, or a set …

[PDF][PDF] A new approach in reliability based design optimization of Tuned Mass Damper in seismic vibration control of structures with bounded uncertain parameters

E Mrabet, M Guedri, S Ghanmi… - The MEDYNA 2013 …, 2013 - researchgate.net
In this work a reliability based optimization of Tuned Mass Damper (TMD) parameters in
seismic vibration control under uncertain system parameters is presented and two questions …

[PDF][PDF] Adaptive use of extended systems for the efficient verified solution of nonlinear systems

E Just - 2014 - elekpub.bib.uni-wuppertal.de
Adaptive use of extended systems for the efficient verified solution of nonlinear systems
Page 1 Adaptive use of extended systems for the efficient verified solution of nonlinear …