Adaptive piecewise linear relaxations for enclosure computations for nonconvex multiobjective mixed-integer quadratically constrained programs
DOI10.1007/s10898-023-01309-5zbMath1522.65095OpenAlexW4383227385MaRDI QIDQ6166099
Stefan Volkwein, Unnamed Author
Publication date: 2 August 2023
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-023-01309-5
multiobjective optimizationmixed-integer nonlinear programmingenergy supply networksadaptive piecewise linear relaxationbox enclosure
Programming involving graphs or networks (90C35) Numerical mathematical programming methods (65K05) Mixed integer programming (90C11) Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29)
Cites Work
- On the representation of the search region in multi-objective optimization
- Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO
- A reformulation framework for global optimization
- Adaptive weighted sum method for multiobjective optimization: a new method for Pareto front generation
- Bound sets for biobjective combinatorial optimization problems
- Solving mixed integer nonlinear programs by outer approximation
- Measuring the quality of discrete representations of efficient sets in multiple objective mathematical programming
- Bilevel programming for generating discrete representations in multiobjective optimization
- A hybrid approach for biobjective optimization
- Efficient computation of the search region in multi-objective optimization
- Reformulation and convex relaxation techniques for global optimization
- Scalarizing vector optimization problems
- 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
- Global optimization of mixed-integer quadratically-constrained quadratic programs (MIQCQP) through piecewise-linear and edge-concave relaxations
- A general branch-and-bound framework for continuous global multiobjective optimization
- On refinement strategies for solving \(\textsc{MINLP}\)s by piecewise linear relaxations: a generalized red refinement
- Polyhedral approximation strategies for nonconvex mixed-integer nonlinear programming in SHOT
- An approximation algorithm for multi-objective optimization problems using a box-coverage
- An adaptive, multivariate partitioning algorithm for global optimization of nonconvex programs
- PySCIPOpt: Mathematical Programming in Python with the SCIP Optimization Suite
- Using Piecewise Linear Functions for Solving MINLPs
- Convex Relaxations for Gas Expansion Planning
- Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions
- Mixed Integer Optimization of Water Supply Networks
- Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems
- An outer-approximation algorithm for a class of mixed-integer nonlinear programs
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Solving mixed-integer nonlinear programmes using adaptively refined mixed-integer linear programmes
- ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
- An adaptive patch approximation algorithm for bicriteria convex mixed-integer problems
- Solving Multiobjective Mixed Integer Convex Optimization Problems
- A Criterion Space Method for Biobjective Mixed Integer Programming: The Boxed Line Method
- Mixed Integer Programming: Analyzing 12 Years of Progress
- Multicriteria Optimization
- Mixed-integer nonlinear optimization
- The extended supporting hyperplane algorithm for convex mixed-integer nonlinear programming
- Algorithms for generating Pareto fronts of multi-objective integer and mixed-integer programming problems
- Twenty years of continuous multiobjective optimization in the twenty-first century
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