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 …

We present three core principles for engineering-oriented integrated modeling and
optimization tool sets—intuitive modeling contexts, systematic computer-aided …

In this paper, we present two new methods for solving convex mixed-integer nonlinear
programming problems based on the outer approximation method. The first method is …

The Euclidean max-sum diversity problem becomes substantially more difficult as the
number of coordinates increases despite the number of decision variables not changing. In …

We develop a class of mixed-integer formulations for disjunctive constraints intermediate to
the big-M and convex hull formulations in terms of relaxation strength. The main idea is to …

This paper presents the distributed primal outer approximation (DiPOA) algorithm for solving
sparse convex programming (SCP) problems with separable structures, efficiently, and in a …

Water allocation network (WAN) and heat exchange network (HEN) are effective
optimization techniques in chemical process system engineering (CPSE). This paper …

Different versions of polyhedral outer approximation are used by many algorithms for mixed-
integer nonlinear programming (MINLP). While it has been demonstrated that such methods …

In this paper, an open-source solver for mixed-integer nonlinear programming (MINLP)
problems is presented. The Supporting Hyperplane Optimization Toolkit (SHOT) combines a …

Generating polyhedral outer approximations and solving mixed-integer linear relaxations
remains one of the main approaches for solving convex mixed-integer nonlinear …