ENGLISH

Concepts of Combinatorial Optimization, Volume 1

Book information

Publisher
Wiley-ISTE
Year
2010
ISBN
9781848211476, 9781118600245
Language
english
Format
PDF
Filesize
4 MB (4280894 bytes)
Pages
365\365
Time added
2013-08-01 04:00:00

Description

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. Concepts of Combinatorial Optimization, is divided into three parts: On the complexity of combinatorial optimization problems, that presents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presents fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field. Content: Chapter 1 Basic Concepts in Algorithms and Complexity Theory (pages 1–19): Vangelis Th. Paschos Chapter 2 Randomized Complexity (pages 21–38): Jeremy Barbay Chapter 3 Branch?and?Bound Methods (pages 39–69): Irene Charon and Olivier Hudry Chapter 4 Dynamic Programming (pages 71–99): Bruno Escoffier and Olivier Spanjaard Chapter 5 Mixed Integer Linear Programming Models for Combinatorial Optimization Problems (pages 101–133): Frederico Della Croce Chapter 6 Simplex Algorithms for Linear Programming (pages 135–155): Frederico Della Croce and Andrea Grosso Chapter 7 A Survey of some Linear Programming Methods (pages 157–188): Pierre Tolla Chapter 8 Quadratic Optimization in 0–1 Variables (pages 189–233): Alain Billionnet Chapter 9 Column Generation in Integer Linear Programming (pages 235–259): Irene Loiseau, Alberto Ceselli, Nelson Maculan and Matteo Salani Chapter 10 Polyhedral Approaches (pages 261–324): Ali Ridha Mahjoub Chapter 11 Constraint Programming (pages 325–338): Claude Le Pape

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