Combinatorial And Global Optimization

by Rainer E Burkard, Athanasios Migdalas, Panos M Pardalos

Overview

Combinatorial and global optimization problems appear in a wide range of applications in operations research, engineering, biological science, and computer science. In combinatorial optimization and graph theory, many approaches have been developed that link the discrete universe to the continuous universe through geometric, analytic, and algebraic techniques. Such techniques include global optimization formulations, semidefinite programming, and spectral theory. Recent major successes based on these approaches include interior point algorithms for linear and discrete problems, the celebrated Goemans-Williamson relaxation of the maximum cut problem, and the Du-Hwang solution of the Gilbert-Pollak conjecture. Since integer constraints are equivalent to nonconvex constraints, the fundamental difference between classes of optimization problems is not between discrete and continuous problems but between convex and nonconvex optimization problems. This volume is a selection of refereed papers based on talks presented at a conference on “Combinatorial and Global Optimization” held at Crete, Greece.

Product Details

ISBN-13:	9789810248024
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	04/08/2002
Series:	Series On Applied Mathematics , #14
Pages:	372
Product dimensions:	6.20(w) x 8.60(h) x 0.90(d)

Editorial Reviews

Papers from a recent conference held in Greece report on work in different aspects of combinatorial and global optimization and in complementary aspects of mathematical programming. Specific topics include a hybrid scatter genetic tabu approach for continuous global optimization, exact rates of Prokhorov convergence under three moment conditions, algorithms for the consistency analysis in scenario projects, assignment of reusable and non-reusable frequencies, and image space analysis for vector optimization and variational inequalities. This work lacks a subject index. Annotation c. Book News, Inc., Portland, OR (booknews.com)