Discrete Optimization

The State of the Art

E. Boros, P.L. Hammer

• Publisher: JAI Press
• Year: 2003
• Print ISBN: 9780444512956
• eBook ISBN: 9780080930282
• Topic: Mathematics
• Subtopic: Computer Science General
• Index: Mathematics

One of the most frequently occurring types of optimization problems involves decision variables which have to take integer values. From a practical point of view, such problems occur in countless areas of management, engineering, administration, etc., and include such problems as location of plants or warehouses, scheduling of aircraft, cutting raw materials to prescribed dimensions, design of computer chips, increasing reliability or capacity of networks, etc. This is the class of problems known in the professional literature as "discrete optimization" problems. While these problems are of enormous applicability, they present many challenges from a computational point of view. This volume is an update on the impressive progress achieved by mathematicians, operations researchers, and computer scientists in solving discrete optimization problems of very large sizes. The surveys in this volume present a comprehensive overview of the state of the art in discrete optimization and are written by the most prominent researchers from all over the world.This volume describes the tremendous progress in discrete optimization achieved in the last 20 years since the publication of Discrete Optimization '77, Annals of Discrete Mathematics, volumes 4 and 5, 1979 (Elsevier). It contains surveys of the state of the art written by the most prominent researchers in the field from all over the world, and covers topics like neighborhood search techniques, lift and project for mixed 0-1 programming, pseudo-Boolean optimization, scheduling and assignment problems, production planning, location, bin packing, cutting planes, vehicle routing, and applications to graph theory, mechanics, chip design, etc.Key features: • state of the art surveys• comprehensiveness• prominent authors• theoretical, computational and applied aspects.This book is a reprint of Discrete Applied Mathematics Volume 23, Numbers 1-3

Table of contents

• Front Cover
• Discrete Optimization: The State of the Art
• Copyright Page
• Table of Contents
• Preface
• Chapter 1. Non-standard approaches to integer programming
• Chapter 2. A survey of very large-scale neighborhood search techniques
• Chapter 3. Maximum mean weight cycle in a digraph and minimizing cycle time of a logic chip
• Chapter 4. Maximum mean weight cycle in a digraph and minimizing cycle time of a logic chip
• Chapter 5. Lift-and-project for Mixed 0-1 programming: recent progress
• Chapter 6. Pseudo-Boolean optimization
• Chapter 7. Pseudo-Boolean optimization
• Chapter 8. Scheduling and constraint propagation
• Chapter 9. Selected topics on assignment problems
• Chapter 10. Ideal clutters
• Chapter 11. Production planning problems in printed circuit board assembly
• Chapter 12. Discrete location problems with push-pull objectives
• Chapter 13. Recent advances on two-dimensional bin packing problems
• Chapter 14. Cutting planes in integer and mixed integer programming
• Chapter 15. Graph connectivity and its augmentation: applications of MA orderings
• Chapter 16. Applications of combinatorics to statics—rigidity of grids
• Chapter 17. Models, relaxations and exact approaches for the capacitated vehicle routing problem
• Chapter 18. Semidefinite programming for discrete optimization and matrix completion problems
• Author Index Volume 123 (2002)