Paradigms of Combinatorial Optimization (eBook)

Problems and New Approaches, Volume 2

Vangelis Th. Paschos (Herausgeber)

eBook Download: EPUB

2013
John Wiley & Sons (Verlag)
978-1-118-60018-4 (ISBN)

Infos

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.

Autor

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.

Inhalt

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 Variations
173

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 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 GOURVÈS

Chapter 17. An Introduction to Inverse Combinatorial Problems
547

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

Rezensionen

"Finally, the essay is useful for researchers and scientists in
diverse fields (mathematics, programmers, engineers, etc.) as well
as post-graduate students (and even undergraduates)." (Contemporary
Physics, 19 August 2011)

Produkt-Details

• Erscheint lt. Verlag: 6.5.2013
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Andrea • benameur • giannakos • knapsack • Knapsack Problems • Kombinatorik • koskas algorithms • lodi • Mathematics • Mathematik • Mathematische Optimierung • Minimax • Optimierung • Optimization • Philippe • picouleau • Problems • problems aristotelis • problem walid • Quadratic • quadri • Salesman Problem • twodimensional • Variations
• ISBN-10: 1-118-60018-5 / 1118600185
• ISBN-13: 978-1-118-60018-4 / 9781118600184