Applications of Combinatorial Optimization

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 Chapter 1 Airline Crew Pairing Optimization 1 Laurent Alfandari and Anass Nagih Chapter 2 The Task Allocation Problem 23 Moaiz Ben Dhaou and Didier Fayard Chapter 3 A Comparison of Some Valid Inequality Generation Methods for General 0-1 Problems 49 Pierre Bonami and Michel Minoux Chapter 4 Production Planning 73 Nadia Brauner, Gerd Finke and Maurice Queyranne Chapter 5 Operations Research and Goods Transportation 111 Teodor Gabriel Crainic and Frédéric Semet Chapter 6 Optimization Models for Transportation Systems Planning 177 Teodor Gabriel Crainic and Michael Florian Chapter 7 A Model for the Design of a Minimum-cost Telecomminications Network 209 Marc Demange, Cécile Murat, Vangelis Th. Paschos and Sophie Toulouse Chapter 8 Parallel Combinatorial Optimization 225 Van-Dat Cung, Bertrand Le Cun and Catherine Roucairol Chapter 9 Network Design Problems: Fundamental Methods 253 Alain Quilliot Chapter 10 Network Design Problems: Models and Applications 291 Alain Quilliot Chapter 11 Multicriteria Task Allocation to Heterogenous Processors with Capacity and Mutual Exclusion Constraints 327 Bernard Roy and Roman Slowinski General Bibliography 365 List of Authors 401 Index 405 Summary of Other Volumes in the Series 409