A wide range of problems arising in practical applications can be formulated as Mixed-
Integer Nonlinear Programs (MINLPs). For the case in which the objective and constraint …

This manuscript reviews recent advances in deterministic global optimization for Mixed-
Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free …

Many optimal decision problems in scientific, engineering, and public sector applications
involve both discrete decisions and nonlinear system dynamics that affect the quality of the …

This paper introduces the global mixed-integer quadratic optimizer, GloMIQO, a numerical
solver addressing mixed-integer quadratically-constrained quadratic programs to ε-global …

Research efforts of the past fifty years have led to a development of linear integer
programming as a mature discipline of mathematical optimization. Such a level of maturity …

The SCIP Optimization Suite is a software toolbox for generating and solving various classes
of mathematical optimization problems. Its major components are the modeling language …

We propose a deterministic global optimization approach, whose novel contributions are
rooted in the edge-concave and piecewise-linear underestimators, to address nonconvex …

This paper discusses how to build a solver for mixed integer quadratically constrained
programs (MIQCPs) by extending a framework for constraint integer programming (CIP). The …

We present effective linear programming based computational techniques for solving
nonconvex quadratic programs with box constraints (BoxQP). We first observe that known …

Semidefinite programming relaxations complement polyhedral relaxations for quadratic
optimization, but global optimization solvers built on polyhedral relaxations cannot fully …