Provides a comprehensive treatment of assignment problems from their conceptual beginnings in the 1920s through present-day theoretical, algorithmic, and practical developments. The authors have organized the book into 10 self-contained chapters to make it easy for readers to use the specific chapters of interest to them without having to read the book linearly.

The topics covered include bipartite matching algorithms, linear assignment problems, quadratic assignment problems, multi-index assignment problems, and many variations of these problems.

Exercises in the form of numerical examples provide readers with a method of self-study or students with homework problems, and an associated webpage offers applets that readers can use to execute some of the basic algorithms as well as links to computer codes that are available online.
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A comprehensive treatment of assignment problems from their conceptual beginnings in the 1920s through present-day theoretical, algorithmic, and practical developments. The authors have organised the book into 10 self-contained chapters to make it easy for readers to use the specific chapters of interest to them without having to read the book linearly.
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  • Preface
  • Chapter 1: Introduction
  • Chapter 2: Theoretical Foundations
  • Chapter 3: Bipartite Matching Algorithms
  • Chapter 4: Linear Sum Assignment Problem: Sequential Algorithms
  • Chapter 5: Further Results on the Linear Sum Assignment Problem
  • Chapter 6: Other Types of Linear Assignment Problems
  • Chapter 7: Quadratic Assignment Problems: Formulations and Bounds
  • Chapter 8: Quadratic Assignment Problems: Algorithms
  • Chapter 9: Other Types of Quadratic Assignment Problems
  • Chapter 10: Multi-index Assignment Problems
  • Bibliography
  • Author Index
  • Subject Index.
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    Produktdetaljer

    ISBN
    9781611972221
    Publisert
    2012-03-30
    Utgave
    2. utgave
    Utgiver
    Society for Industrial & Applied Mathematics,U.S.; Society for Industrial & Applied Mathematics,U.S.
    Vekt
    896 gr
    Høyde
    229 mm
    Bredde
    152 mm
    Aldersnivå
    P, 06
    Språk
    Product language
    Engelsk
    Format
    Product format
    Innbundet
    Antall sider
    415

    Om bidragsyterne

    Rainer Burkard is Professor Emeritus of Mathematics at Graz University of Technology, Austria. He has published several books and over 150 papers on discrete optimisation and related areas. His main research focus is combinatorial optimisation and its applications. Mauro Dell'Amico is a Professor of Operations Research at the University of Modena and Reggio Emilia, Italy. His research interests are combinatorial optimisation as applied to transportation, telecommunications, routing and scheduling. Silvano Martello is a Professor of Operations Research at the University of Bologna, Italy. He is author of Knapsack Problems: Algorithms and Computer Implementations (1990) and Editor-in-Chief of 4OR: A Quarterly Journal of Operations Research. His research focus is the design of algorithms for combinatorial optimisation and graph theory problems and their application in packing, routing and scheduling.