In this paper, we present a review of deterministic software for solving convex MINLP
problems as well as a comprehensive comparison of a large selection of commonly …

The SCIP Optimization Suite provides a collection of software packages for mathematical
optimization centered around the constraint integer programming framework SCIP. This …

Abstract The Unit Commitment problem in energy management aims at finding the optimal
production schedule of a set of generation units, while meeting various system-wide …

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 …

The uncapacitated facility location (UFL) problem is one of the most famous and most
studied problems in the operations research literature. Given a set of potential facility …

We provide a comprehensive overview of mixed-integer programming formulations for the
unit commitment (UC) problem. UC formulations have been an especially active area of …

This paper examines the polytope of feasible power generation schedules in the unit
commitment (UC) problem. We provide computational results comparing formulations for the …

We consider the least squares regression problem, penalized with a combination of the ℓ _ 0
ℓ 0 and squared ℓ _ 2 ℓ 2 penalty functions (aka ℓ _0 ℓ _2 ℓ 0 ℓ 2 regularization). Recent …

The short-term unit commitment (UC) problem in hydrothermal power generation is a large-
scale, mixed-integer nonlinear program, which is difficult to solve efficiently, especially for …

We study mixed integer nonlinear programs (MINLP) s that are driven by a collection of
indicator variables where each indicator variable controls a subset of the decision variables …