Interactive Decision Maps

Approximation and Visualization of Pareto Frontier

  • Alexander V. Lotov
  • Vladimir A. Bushenkov
  • Georgy K. Kamenev

Part of the Applied Optimization book series (APOP, volume 89)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Environmental, Business and Other Applications of Interactive Decision Maps

    1. Front Matter
      Pages 1-1
    2. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 3-34
    3. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 35-68
    4. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 69-97
    5. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 99-128
    6. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 129-162
  3. Computational Methods of the IDM Technique

    1. Front Matter
      Pages 163-163
    2. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 165-218
    3. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 219-234
  4. Several Topics Related to Mathematical Basis of IDM

    1. Front Matter
      Pages 235-235
    2. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 237-261
    3. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 263-278
  5. Epilogue: New applications of the IDM technique on the Web

    1. Alexander V. Lotov, Vladimir A. Bushenkov, Georgy K. Kamenev
      Pages 279-287
  6. Back Matter
    Pages 289-310

About this book

Introduction

Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background. Part I is written in a simple form and can be assessed by any computer-literate person interested in the application of visualization methods in decision making. This part will be of interest to specialists and students in various fields related to decision making including environmental studies, management, business, engineering, etc. In Part II computational methods are introduced in a relatively simple form. This part will be of interest to specialists and students in the field of applied optimization, operations research and computer science. Part III is written for specialists and students in applied mathematics interested in the theoretical basis of modern optimization. Due to this structure, the parts can be read independently. For example, students interested in environmental applications could restrict themselves to Part I and the Epilogue. In contrast, those who are interested in computational methods can skip Part I and read Part II only. Finally, specialists, who are interested in the theory of approximation of multi-dimensional convex sets or in estimation of disturbances of polyhedral sets, can read the corresponding chapters of Part III.

Keywords

Approximation Mathematica computer computer science operations research optimization visualization

Authors and affiliations

  • Alexander V. Lotov
    • 1
    • 2
    • 3
  • Vladimir A. Bushenkov
    • 4
  • Georgy K. Kamenev
    • 2
  1. 1.Higher School of EconomicsState UniversityRussia
  2. 2.Dorodnicyn Computing Centre of Russian Academy of SciencesRussia
  3. 3.Lomonosov Moscow State UniversityRussia
  4. 4.University of EvoraPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-8851-5
  • Copyright Information Springer-Verlag US 2004
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-4690-6
  • Online ISBN 978-1-4419-8851-5
  • Series Print ISSN 1384-6485
  • About this book