This review presents developed models, theory, and numerical methods for structural
optimization of trusses with discrete design variables in the period 1968–2014. The …

This tutorial presents a theory of valid inequalities for mixed integer linear sets. It introduces
the necessary tools from polyhedral theory and gives a geometric understanding of several …

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 …

In this paper, we surveyed the existing literature studying different approaches and
algorithms for the four critical components in the general branch and bound (B&B) algorithm …

How difficult is, in practice, to optimize exactly over the first Chvátal closure of a generic ILP?
Which fraction of the integrality gap can be closed this way, eg, for some hard problems in …

The polyhedron defined by all the split cuts obtainable directly (ie without iterated cut
generation) from the LP-relaxation P of a mixed integer program (MIP) is termed the …

Metaheuristics support managers in decision making with robust tools providing high quality
solutions to important problems in business, engineering, economics and science in …

The subject of this article is solving discrete truss topology optimization problems with local
stress and displacement constraints to global optimum. We consider a formulation based on …

Problem This thesis deals with solving strategies for a certain class of mixed integer
nonlinear optimization problems: mixed integer second order cone programs (MISOCP) …

The main subject of this thesis is the development of new geometric tools and techniques for
solving classic problems within the geometry of numbers and convex geometry. At a high …