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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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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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Convex mixed-integer nonlinear programs derived from generalized disjunctive programming using cones
We propose the formulation of convex Generalized Disjunctive Programming (GDP) problems using conic inequalities leading to conic GDP problems. We...
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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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Time-Domain Decomposition for Mixed-Integer Optimal Control Problems
We consider mixed-integer optimal control problems, whose optimality conditions involve global combinatorial optimization aspects for the...
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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 programming techniques for the minimum sum-of-squares clustering problem
The minimum sum-of-squares clustering problem is a very important problem in data mining and machine learning with very many applications in, e.g.,...
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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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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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Stochastic dual dynamic programming for multistage stochastic mixed-integer nonlinear optimization
In this paper, we study multistage stochastic mixed-integer nonlinear programs (MS-MINLP). This general class of problems encompasses, as important...
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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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Stochastic Mixed-Integer Programming Methods
This chapter gives an introductory study of two-stage stochastic mixed-integer programming (SMIP). This subject is an extension of deterministic MIP...
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Linearization and parallelization schemes for convex mixed-integer nonlinear optimization
We develop and test linearization and parallelization schemes for convex mixed-integer nonlinear programming. Several linearization approaches are...
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An exact projection-based algorithm for bilevel mixed-integer problems with nonlinearities
We propose an exact global solution method for bilevel mixed-integer optimization problems with lower-level integer variables and including nonlinear...
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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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Data-driven confidence bound for structural response using segmented least squares: a mixed-integer programming approach
As one of data-driven approaches to computational mechanics in elasticity, this paper presents a method finding a bound for structural response,...
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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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Branch-and-price for a class of nonconvex mixed-integer nonlinear programs
This work attempts to combine the strengths of two major technologies that have matured over the last three decades: global mixed-integer nonlinear...
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Derivative-free methods for mixed-integer nonsmooth constrained optimization
In this paper, mixed-integer nonsmooth constrained optimization problems are considered, where objective/constraint functions are available only as...
