A general branch-and-bound framework for continuous global multiobjective optimization
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Publication:2038927
DOI10.1007/s10898-020-00984-yzbMath1470.90114OpenAlexW3124460525MaRDI QIDQ2038927
Peter Kirst, Laura Meng, Gabriele Eichfelder, Oliver Stein
Publication date: 7 July 2021
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-020-00984-y
global optimizationbranch-and-bound algorithmnonconvex optimizationmultiobjective optimizationenclosure
Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Multi-objective and goal programming (90C29)
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Uses Software
Cites Work
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- On the representation of the search region in multi-objective optimization
- On the worst-case optimal multi-objective global optimization
- Nonconvex separation theorems and some applications in vector optimization
- The multicriteria big cube small cube method
- Obtaining the efficient set of nonlinear biobjective optimization problems via interval branch-and-bound methods
- Method of non-uniform coverages to solve the multicriteria optimization problems with guaranteed accuracy
- Adaptation of a one-step worst-case optimal univariate algorithm of bi-objective Lipschitz optimization to multidimensional problems
- \(\epsilon\)-solutions in vector minimization problems
- Theory of multiobjective optimization
- Variational methods in partially ordered spaces
- Efficient computation of the search region in multi-objective optimization
- Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
- \(\alpha BB\): A global optimization method for general constrained nonconvex problems
- Convergent upper bounds in global minimization with nonlinear equality constraints
- Deterministic upper bounds for spatial branch-and-bound methods in global minimization with nonconvex constraints
- Non-convex multi-objective optimization
- Vector optimization. Set-valued and variational analysis.
- Approximation methods in multiobjective programming
- Disjunctive Cuts for Nonconvex MINLP
- New algorithms for discrete vector optimization based on the Graef-Younes method and cone-monotone sorting functions
- Jointly Constrained Biconvex Programming
- Interval Methods for Systems of Equations
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- A Branch--and--Bound-Based Algorithm for Nonconvex Multiobjective Optimization
- Multicriteria Optimization
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