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Optimization of Sparsity-Constrained Neural Networks as a Mixed Integer Linear Program
The literature has shown how to optimize and analyze the parameters of different types of neural networks using mixed integer linear programs (MILP)....
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A mixed-integer approximation of robust optimization problems with mixed-integer adjustments
In the present article we propose a mixed-integer approximation of adjustable-robust optimization problems, that have both, continuous and discrete...
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Information complexity of mixed-integer convex optimization
We investigate the information complexity of mixed-integer convex optimization under different types of oracles. We establish new lower bounds for...
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A Solver for Multiobjective Mixed-Integer Convex and Nonconvex Optimization
This paper proposes a general framework for solving multiobjective nonconvex optimization problems, i.e., optimization problems in which multiple...
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A test instance generator for multiobjective mixed-integer optimization
Application problems can often not be solved adequately by numerical algorithms as several difficulties might arise at the same time. When develo**...
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Mixed-integer exponential conic optimization for reliability enhancement of power distribution systems
This paper develops an optimization model for determining the placement of switches, tie lines, and underground cables in order to enhance the...
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On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems
We consider adjustable robust linear complementarity problems and extend the results of Biefel et al. (SIAM J Optim 32:152–172, 2022) towards convex...
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Outer Approximation for Mixed-Integer Nonlinear Robust Optimization
Currently, few approaches are available for mixed-integer nonlinear robust optimization. Those that do exist typically either require restrictive...
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A hybrid patch decomposition approach to compute an enclosure for multi-objective mixed-integer convex optimization problems
In multi-objective mixed-integer convex optimization, multiple convex objective functions need to be optimized simultaneously while some of the...
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Global optimization of mixed-integer nonlinear programs with SCIP 8
For over 10 years, the constraint integer programming framework SCIP has been extended by capabilities for the solution of convex and nonconvex...
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A Study of a State-of-the-Art Algorithm for Mixed-Integer Linear Bilevel Optimization
In this paper, we address mixed-integer linear bilevel optimization problems. In bilevel optimization, a (lower-level) optimization problem is...
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Learning to optimize: A tutorial for continuous and mixed-integer optimization
Learning to optimize (L2O) stands at the intersection of traditional optimization and machine learning, utilizing the capabilities of machine...
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Gas Transport Network Optimization: Mixed-Integer Nonlinear Models
Although modern societies strive towards energy systems that are entirely based on renewable energy carriers, natural gas is still one of the most...
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Compact mixed-integer programming formulations in quadratic optimization
We present a technique for producing valid dual bounds for nonconvex quadratic optimization problems. The approach leverages an elegant piecewise...
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Discretization and global optimization for mixed integer bilinear programming
We consider global optimization of mixed-integer bilinear programs (MIBLP) using discretization-based mixed-integer linear programming (MILP)...
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Adaptive piecewise linear relaxations for enclosure computations for nonconvex multiobjective mixed-integer quadratically constrained programs
In this paper, a new method for computing an enclosure of the nondominated set of multiobjective mixed-integer quadratically constrained programs...
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Mixed integer (non)linear approaches for the satellite constellation design problem
In this paper, we propose mathematical optimization models to solve the satellite constellation design problem for discontinuous coverage. In such a...
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Mixed integer bilevel optimization with a k-optimal follower: a hierarchy of bounds
We consider mixed integer bilevel linear optimization problems in which the decision variables of the lower-level (follower’s) problem are all...
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Convergence of derivative-free nonmonotone Direct Search Methods for unconstrained and box-constrained mixed-integer optimization
This paper presents a class of nonmonotone Direct Search Methods that converge to stationary points of unconstrained and boxed constrained...
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An outer approximation algorithm for generating the Edgeworth–Pareto hull of multi-objective mixed-integer linear programming problems
In this paper, we present an outer approximation algorithm for computing the Edgeworth–Pareto hull of multi-objective mixed-integer linear...
