After providing an in-depth introduction to derivative-free global optimization with various
constraints this book presents new original results from well-known experts on the subject. A
primary focus of this book is the well-known class of deterministic DIRECT (DIviding
RECTangle)-type algorithms. This book describes a new set of algorithms derived from newly
developed partitioning sampling and selection approaches in the box- and
generally-constrained global optimization including extensions to multi-objective
optimization. DIRECT-type optimization algorithms are discussed in terms of fundamental
principles potential and boundaries of their applicability. The algorithms are analyzed from
various perspectives to offer insight into their main features. This explains how and why they
are effective at solving optimization problems. As part of this book the authors also present
several techniques for accelerating the DIRECT-type algorithms through parallelization and
implementing efficient data structures by revealing the pros and cons of the design challenges
involved. A collection of DIRECT-type algorithms described and analyzed in this book is
available in DIRECTGO a MATLAB toolbox on GitHub. Lastly the authors demonstrate the
performance of the algorithms for solving a wide range of global optimization problems with
various constraints ranging from a few to hundreds of variables. Additionally well-known
practical problems from the literature are used to demonstrate the effectiveness of the
developed algorithms. It is evident from these numerical results that the newly developed
approaches are capable of solving problems with a wide variety of structures and complexity
levels. Since implementations of the algorithms are publicly available this monograph is full
of examples showing how to use them and how to choose the most efficient ones depending on the
nature of the problem being solved. Therefore many specialists students researchers
engineers economists computer scientists operations researchers and others will find this
book interesting and helpful.