Deterministic Global Optimization

• Principals and basic concepts.- The geometric branch-and-bound algorithm.-Bounding operations.- Extension for multicriteria problems.- Multicriteria discarding tests.- Extension for mixed combinatorial problems.- The circle detection problem.- Integrated scheduling and location problems.- The median line problem.- Summary and discussion.- References.- Index.

From the reviews: "This little book gives a unified treatment and current state of affairs of geometric branch-and-bound methods for global optimization in low dimensions and their applications. ... a valuable tool for anyone interested in the solution of low-dimensional global optimization problems. The whole text is very carefully written with special attention given to the introduction of economical notation and corresponding definitions that considerably shorten the arguments. This is particularly useful for students, but also for the working specialist." (Frank Plastria, Mathematical Reviews, September, 2013) "The book presents a collection of papers by Scholz and other authors, supplemented with some auxiliary material and discussion, and includes new details, newly edited text, and revised proofs. ... an expert in global optimization and an intended user of global optimization software would benefit from owning this book on geometric B&B methods, which a recognized expert has researched." (Antanas Zilinskas, Interfaces, Vol. 43 (1), 2013)