Deterministic global optimization using interval constraint propagation techniques
RAIRO-Oper. Res., 38 4 (2004) 277-293
Published online: 2004-12-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Interval constraint programming for globally solving catalog-based categorical optimization
Charlie VanaretJournal of Global Optimization 89 (2) 457 (2024)
https://doi.org/10.1007/s10898-023-01362-0
An Interval Optimization Algorithm With Embedded Point Evolutionary Strategy and Its Application to Bounded Error Modeling
Shouping Guan and Xinyu LiIEEE Access 11 69409 (2023)
https://doi.org/10.1109/ACCESS.2023.3293523
Numerical certification of Pareto optimality for biobjective nonlinear problems
Charles Audet, Frédéric Messine and Jordan NininJournal of Global Optimization 83 (4) 891 (2022)
https://doi.org/10.1007/s10898-022-01127-1
Polyhedral approximation strategies for nonconvex mixed-integer nonlinear programming in SHOT
Andreas Lundell and Jan KronqvistJournal of Global Optimization 82 (4) 863 (2022)
https://doi.org/10.1007/s10898-021-01006-1
The supporting hyperplane optimization toolkit for convex MINLP
Andreas Lundell, Jan Kronqvist and Tapio WesterlundJournal of Global Optimization 84 (1) 1 (2022)
https://doi.org/10.1007/s10898-022-01128-0
The Design of the Outer-Rotor Brushless DC Motor and an Investigation of Motor Axial-Length-to-Pole-Pitch Ratio
Ozturk Tosun and Necibe Fusun Oyman SertellerSustainability 14 (19) 12743 (2022)
https://doi.org/10.3390/su141912743
(Global) Optimization: Historical notes and recent developments
Marco Locatelli and Fabio SchoenEURO Journal on Computational Optimization 9 100012 (2021)
https://doi.org/10.1016/j.ejco.2021.100012
Black Box Optimization, Machine Learning, and No-Free Lunch Theorems
Ralph Baker KearfottSpringer Optimization and Its Applications, Black Box Optimization, Machine Learning, and No-Free Lunch Theorems 170 169 (2021)
https://doi.org/10.1007/978-3-030-66515-9_7
A deterministic semi-infinite global optimization method to design slotless permanent magnet machines
Zahia Amrouchi, Frederic Messine, Clement Nadal and Mohand OuanesCOMPEL - The international journal for computation and mathematics in electrical and electronic engineering 40 (2) 84 (2021)
https://doi.org/10.1108/COMPEL-01-2020-0046
Z-equilibria in Bi-matrix games with uncertain payoffs
Farida Achemine, Abdelkader Merakeb, Moussa Larbani and Philippe MarthonRAIRO - Operations Research 54 (2) 393 (2020)
https://doi.org/10.1051/ro/2019007
1 (2019)
https://doi.org/10.1109/ISEF45929.2019.9097010
1 (2019)
https://doi.org/10.1109/ICOECS46375.2019.8949884
90 (2018)
https://doi.org/10.1109/ICTAI.2018.00024
1 (2018)
https://doi.org/10.1109/ICIEAM.2018.8728772
Domain reduction techniques for global NLP and MINLP optimization
Yash Puranik and Nikolaos V. SahinidisConstraints 22 (3) 338 (2017)
https://doi.org/10.1007/s10601-016-9267-5
1 (2016)
https://doi.org/10.1109/SAM.2016.7569658
Global optimization with spline constraints: a new branch-and-bound method based on B-splines
Bjarne Grimstad and Anders SandnesJournal of Global Optimization 65 (3) 401 (2016)
https://doi.org/10.1007/s10898-015-0358-4
Global optimization of multiphase flow networks using spline surrogate models
Bjarne Grimstad, Bjarne Foss, Richard Heddle and Malcolm WoodmanComputers & Chemical Engineering 84 237 (2016)
https://doi.org/10.1016/j.compchemeng.2015.08.022
On handling indicator constraints in mixed integer programming
Pietro Belotti, Pierre Bonami, Matteo Fischetti, et al.Computational Optimization and Applications 65 (3) 545 (2016)
https://doi.org/10.1007/s10589-016-9847-8
Range-only SLAM with indistinguishable landmarks; a constraint programming approach
Luc JaulinConstraints 21 (4) 557 (2016)
https://doi.org/10.1007/s10601-015-9231-9
Interval Branch-and-Bound algorithms for optimization and constraint satisfaction: a survey and prospects
Ignacio Araya and Victor ReyesJournal of Global Optimization 65 (4) 837 (2016)
https://doi.org/10.1007/s10898-015-0390-4
A reliable affine relaxation method for global optimization
Jordan Ninin, Frédéric Messine and Pierre Hansen4OR 13 (3) 247 (2015)
https://doi.org/10.1007/s10288-014-0269-0
Contractors and Linear Matrix Inequalities
Jeremy Nicola and Luc JaulinASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B: Mechanical Engineering 1 (3) (2015)
https://doi.org/10.1115/1.4030781
Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods
Francisco Trespalacios and Ignacio E. GrossmannChemie Ingenieur Technik 86 (7) 991 (2014)
https://doi.org/10.1002/cite.201400037
Mixed-integer nonlinear optimization
Pietro Belotti, Christian Kirches, Sven Leyffer, et al.Acta Numerica 22 1 (2013)
https://doi.org/10.1017/S0962492913000032
Bound reduction using pairs of linear inequalities
Pietro BelottiJournal of Global Optimization 56 (3) 787 (2013)
https://doi.org/10.1007/s10898-012-9848-9
Optimal design of electrical machines: mathematical programming formulations
Sonia Cafieri, Leo Liberti, Fre´de´ric Messine and Bertrand Nogare`deCOMPEL - The international journal for computation and mathematics in electrical and electronic engineering 32 (3) 977 (2013)
https://doi.org/10.1108/03321641311305863
The Small Octagons of Maximal Width
Charles Audet, Pierre Hansen, Frédéric Messine and Jordan NininDiscrete & Computational Geometry 49 (3) 589 (2013)
https://doi.org/10.1007/s00454-013-9489-x
Maximal perimeter, diameter and area of equilateral unit-width convex polygons
Charles Audet and Jordan NininJournal of Global Optimization 56 (3) 1007 (2013)
https://doi.org/10.1007/s10898-011-9780-4
Interval-based global optimization in engineering using model reformulation and constraint propagation
Issam Mazhoud, Khaled Hadj-Hamou, Jean Bigeon and Ghislain RemyEngineering Applications of Artificial Intelligence 25 (2) 404 (2012)
https://doi.org/10.1016/j.engappai.2011.10.010
The Electromagnetic Actuator Design Problem: An Adapted Interval Global Optimization Algorithm
I. Mazhoud, K. Hadj-Hamou, J. Bigeon and G. RemyIEEE Transactions on Magnetics 48 (2) 387 (2012)
https://doi.org/10.1109/TMAG.2011.2172922
A Spatial Branch-and-Bound Framework for the Global Optimization of Kinetic Models of Metabolic Networks
C. Pozo, G. Guillén-Gosálbez, A. Sorribas and L. JiménezIndustrial & Engineering Chemistry Research 50 (9) 5225 (2011)
https://doi.org/10.1021/ie101368k
A metaheuristic methodology based on the limitation of the memory of interval branch and bound algorithms
Jordan Ninin and Frédéric MessineJournal of Global Optimization 50 (4) 629 (2011)
https://doi.org/10.1007/s10898-010-9531-y
Study of multiscale global optimization based on parameter space partition
Weitao Sun and Yuan DongJournal of Global Optimization 49 (1) 149 (2011)
https://doi.org/10.1007/s10898-010-9540-x
Some Co-Axial Magnetic Couplings Designed Using an Analytical Model and an Exact Global Optimization Code
J. Fontchastagner, Y. Lefevre and F. MessineIEEE Transactions on Magnetics 45 (3) 1458 (2009)
https://doi.org/10.1109/TMAG.2009.2012678
Isoperimetric Polygons of Maximum Width
Charles Audet, Pierre Hansen and Frédéric MessineDiscrete & Computational Geometry 41 (1) 45 (2009)
https://doi.org/10.1007/s00454-008-9103-9
A Metamodeling Approach for Uncertainty Analysis of Nondeterministic Systems
Hae-Jin Choi and Janet K. AllenJournal of Mechanical Design 131 (4) (2009)
https://doi.org/10.1115/1.3087565
Optimal Design of Piezoelectric Transformers: A Rational Approach Based on an Analytical Model and a Deterministic Global Optimization
Francois Pigache, Frederic Messine and Bertrand NogaredeIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 54 (7) 1293 (2007)
https://doi.org/10.1109/TUFFC.2007.390
Models and Algorithms for Global Optimization
Steffen Kjøller, Pavel Kozine, Kaj Madsen and Ole StauningOptimization and Its Applications, Models and Algorithms for Global Optimization 4 45 (2007)
https://doi.org/10.1007/978-0-387-36721-7_3
Design of Electrical Rotating Machines by Associating Deterministic Global Optimization Algorithm With Combinatorial Analytical and Numerical Models
Julien Fontchastagner, FrÉdÉric Messine and Yvan LefevreIEEE Transactions on Magnetics 43 (8) 3411 (2007)
https://doi.org/10.1109/TMAG.2007.898907
Extremal problems for convex polygons
Charles Audet, Pierre Hansen and Frédéric MessineJournal of Global Optimization 38 (2) 163 (2007)
https://doi.org/10.1007/s10898-006-9065-5
The small octagon with longest perimeter
Charles Audet, Pierre Hansen and Frédéric MessineJournal of Combinatorial Theory, Series A 114 (1) 135 (2007)
https://doi.org/10.1016/j.jcta.2006.04.002
Optimal Design of Multi-Airgap Electrical Machines: An Unknown Size Mixed-Constrained Global Optimization Formulation
F. Messine and B. NogaredeIEEE Transactions on Magnetics 42 (12) 3847 (2006)
https://doi.org/10.1109/TMAG.2006.881100
Essays and Surveys in Global Optimization
Frédéric MessineEssays and Surveys in Global Optimization 267 (2005)
https://doi.org/10.1007/0-387-25570-2_10