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Concepts of Combinatorial Optimization
Vangelis Th. Paschos (Edited by), VT Paschos (Author)
9781848216563, Wiley
Hardback, published 29 July 2014
408 pages
24.1 x 16.3 x 2.8 cm, 0.753 kg
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 aim 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, presenting basics about worst-case and randomized complexity;
- Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming;
- Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Preface xiii Vangelis Th. Paschos Part I Complexity of Combinatioral Optimization Problems 1 Chapter 1 Basic Concepts in Algorithms and Complexity Theory 3 Chapter 2 Randomized Complexity 21 Part II Classic Solution Methods 39 Chapter 3 Branch-and-Bound Methods 41 Chapter 4 Dynamic Programming 71 Part III Elements from Mathematical Programming 101 Chapter 5 Mixed Integer Linear Programming Models for Combinatorial Optimization Problems 103 Chapter 6 Simplex Algorithms for Linear Programming 135 Chapter 7 A Survey of Some Linear Programming Methods 157 Chapter 8 Quadratic Optimization in 0-1 Variables 189 Chapter 9 Column Generation in Integar Linear Programming 235 Chapter 10 Polyhedral Approaches 261 Chapter 11 Constaint Programming 325 General Bibliography 339 List of Authors 363 Index 367 Summary of Other Volumes in the Series 371
Vangelis Th. Paschos
Jérémy Barbay
Irène Charon and Olivier Hudry
Bruno Escoffier and Olivier Spanjaard
Frédérico Della Croce
Frédérico Della Croce and Andrea Grosso
Pierre Tolla
Alain Billionnet
Irène Loiseau, Alberto Ceselli, Nelson Maculan and Matteo Salani
Ali Ridha Mahjoub
Claude Le Pape
Subject Areas: Mathematics [PB]
