Combinatorial Optimization: Paradigms of Combinatorial Optimization

Klappentext Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management.The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization."Paradigms of Combinatorial Optimization" is divided in two parts:* Paradigmatic Problems, that handles several famous combinatorial optimization problems as max cut, min coloring, optimal satisfiability tsp, etc., the study of which has largely contributed to both the development, the legitimization and the establishment of the Combinatorial Optimization as one of the most active actual scientific domains;* Classical and New Approaches, that presents the several methodological approaches that fertilize and are fertilized by Combinatorial optimization such as: Polynomial Approximation, Online Computation, Robustness, etc., and, more recently, Algorithmic Game Theory. Zusammenfassung Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management.The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization."Paradigms of Combinatorial Optimization" is divided in two parts:* Paradigmatic Problems, that handles several famous combinatorial optimization problems as max cut, min coloring, optimal satisfiability tsp, etc., the study of which has largely contributed to both the development, the legitimization and the establishment of the Combinatorial Optimization as one of the most active actual scientific domains;* Classical and New Approaches, that presents the several methodological approaches that fertilize and are fertilized by Combinatorial optimization such as: Polynomial Approximation, Online Computation, Robustness, etc., and, more recently, Algorithmic Game Theory. Inhaltsverzeichnis Preface xvii Vangelis Th. PASCHOS PART I. PARADIGMATIC PROBLEMS 1 Chapter 1. Optimal Satisfiability 3 Cristina BAZGAN Chapter 2. Scheduling Problems 33 Philippe CHRETIENNE and Christophe PICOULEAU Chapter 3. Location Problems 61 Aristotelis GIANNAKOS Chapter 4. MiniMax Algorithms and Games 89 Michel KOSKAS Chapter 5. Two-dimensional Bin Packing Problems 107 Andrea LODI! Silvano MARTELLO! Michele MONACI and Daniele VIGO Chapter 6. The Maximum Cut Problem 131 Walid BEN-AMEUR! Ali Ridha MAHJOUB and Jose NETO Chapter 7. The Traveling Salesman Problem and its Variations 173 Jerome MONNOT and Sophie TOULOUSE Chapter 8. 0--1 Knapsack Problems 215 Gerard PLATEAU and Anass NAGIH Chapter 9. Integer Quadratic Knapsack Problems 243 Dominique QUADRI! Eric SOUTIF and Pierre TOLLA Chapter 10. Graph Coloring Problems 265 Dominique DE WERRA and Daniel KOBLER PART II. NEW APPROACHES 311 Chapter 11. Polynomial Approximation 313 Marc DEMANGE and Vangelis Th. PASCHOS Chapter 12. Approximation Preserving Reductions 351 Giorgio AUSIELLO and Vangelis Th. PASCHOS Chapter 13. Inapproximability of Combinatorial Optimization Problems 381 Luca TREVISAN Chapter 14. Local Search: Complexity and Approximation 435 Eric ANGEL! Petros CHRISTOPOULOS and Vassilis ZISSIMOPOULOS Chapter 15. On-line Algorithms 473 Giorgio AUSIELLO and Luca BECCHETTI Chapter 16. Polynomial Approximation for Multicriteria Combinatorial Optimization Problems 511 Eric ANGEL! Evripidis BAMPIS and Laurent GOURVES Chapter 17. An Introduction to Inverse Combinatorial Problems 547 Marc DEMANGE and Jerome MONNOT Chapter 18. Probabilistic Combinatorial Optimization 587 Cecile MURAT and Vangelis Th. PASCHOS Chapter 19. R...

List of contents

Preface xvii
Vangelis Th. PASCHOS

PART I. PARADIGMATIC PROBLEMS 1

Chapter 1. Optimal Satisfiability 3
Cristina BAZGAN

Chapter 2. Scheduling Problems 33
Philippe CHRÉTIENNE and Christophe PICOULEAU

Chapter 3. Location Problems 61
Aristotelis GIANNAKOS

Chapter 4. MiniMax Algorithms and Games 89
Michel KOSKAS

Chapter 5. Two-dimensional Bin Packing Problems 107
Andrea LODI, Silvano MARTELLO, Michele MONACI and Daniele VIGO

Chapter 6. The Maximum Cut Problem 131
Walid BEN-AMEUR, Ali Ridha MAHJOUB and José NETO

Chapter 7. The Traveling Salesman Problem and its Variations173
Jérôme MONNOT and Sophie TOULOUSE

Chapter 8. 0-1 Knapsack Problems 215
Gérard PLATEAU and Anass NAGIH

Chapter 9. Integer Quadratic Knapsack Problems 243
Dominique QUADRI, Eric SOUTIF and Pierre TOLLA

Chapter 10. Graph Coloring Problems 265
Dominique DE WERRA and Daniel KOBLER

PART II. NEW APPROACHES 311

Chapter 11. Polynomial Approximation 313
Marc DEMANGE and Vangelis Th. PASCHOS

Chapter 12. Approximation Preserving Reductions 351
Giorgio AUSIELLO and Vangelis Th. PASCHOS

Chapter 13. Inapproximability of Combinatorial OptimizationProblems 381
Luca TREVISAN

Chapter 14. Local Search: Complexity and Approximation 435
Eric ANGEL, Petros CHRISTOPOULOS and Vassilis ZISSIMOPOULOS

Chapter 15. On-line Algorithms 473
Giorgio AUSIELLO and Luca BECCHETTI

Chapter 16. Polynomial Approximation for MulticriteriaCombinatorial Optimization Problems 511
Eric ANGEL, Evripidis BAMPIS and Laurent GOURVÈS

Chapter 17. An Introduction to Inverse Combinatorial Problems547
Marc DEMANGE and Jérôme MONNOT

Chapter 18. Probabilistic Combinatorial Optimization 587
Cécile MURAT and Vangelis Th. PASCHOS

Chapter 19. Robust Shortest Path Problems 615
Virginie GABREL and Cécile MURAT

Chapter 20. Algorithmic Games 641
Aristotelis GIANNAKOS and Vangelis PASCHOS

List of Authors 675

Index 681

Summary of Other Volumes in the Series 689

About the author

Vangelis Th. Paschos is Exceptional Professor of Computer Science and Combinatorial Optimization at the University Paris-Dauphine and chairman of the LAMSADE (Laboratory for the Modeling and the Analysis of Decision Aiding Systems). His research interests include the complexity theory, the theory of the polynomial approximation of NP-hard problems, the probabilistic combinatorial optimization, the on-line computation and the exact solution of NP-hard problems. He is the author of more than a hundred and fifty research papers. He is also member of the editorial board of several international scientific journals.

Summary

Combinatorial optimization is a multidisciplinary scientific area,lying in the interface of three major scientific domains:mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims tocover a wide range of topics in this area.

Report

"Finally, the essay is useful for researchers and scientists indiverse fields (mathematics, programmers, engineers, etc.) as wellas post-graduate students (and even undergraduates)." (ContemporaryPhysics, 19 August 2011)

Product details

• Authors: PASCHOS, Vangelis T. Paschos, Vangelis Th Paschos, Vangelis Th. Paschos, VT Paschos
• Assisted by: Vangelis Th Paschos (Editor), Vangelis Th. Paschos (Editor)
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 24.05.2010
• EAN: 9781848211483
• ISBN: 978-1-84821-148-3
• Sets: Combinatorial Optimization; Combinatorial Optimization
• Series: ISTE; ISTE
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Mathematik, Optimierung, Kombinatorik, Optimization, Mathematics, Mathematische Optimierung