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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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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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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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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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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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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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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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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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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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Polyhedral approximation strategies for nonconvex mixed-integer nonlinear programming in SHOT
Different versions of polyhedral outer approximation are used by many algorithms for mixed-integer nonlinear programming (MINLP). While it has been...
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Mixed-Integer Programming Models for Two Metal Additive Manufacturing Methods
Since the beginning of its development in the 1950s, mixed-integer programming (MIP) has been used for a variety of practical application problems,...
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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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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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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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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...
