Constraint Theory

Multidimensional Mathematical Model Management

  • Authors
  • George¬†J.¬†Friedman

Part of the Ifsr International Series on Systems Science and Engineering book series (IFSR, volume 23)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Pages 1-23
  3. Pages 25-48
  4. Pages 49-60
  5. Pages 61-110
  6. Back Matter
    Pages 163-187

About this book

Introduction

The enormous potential of digital computation to manage new complex systems is impeded by exponential increases in complexity. As the model's dimensionality increases from hundreds to thousands of variables, and as submodels constructed by diverse technical teams are integrated into the total model, the model is likely to become inconsistent and even more likely, the computational requests on the model become unallowable. This text analyzes the way constraint theory employs bipartite graphs and constraint matrices to detect and correct these well-posed problems. It also presents the process of locating the "kernel of constraint", literally trillions of times faster than a random search, determining consistency and compatibility within seconds. This text is an invaluable reference for all engineers, mathematicians and managers concerned with modeling.

"Dr. George Friedman is indisputably the father of the very powerful methods of constraint theory." --Cornelius T. Leondes, UCLA

"Groundbreaking work. ... Friedman's accomplishment represents engineering at its finest. ... The credibility of the theory rests upon the formal proofs which are interspersed among the illuminating hypothetical dialog sequences between manager and analyst, which bring out distinctions that the organization must face, en route to accepting Friedman's work as essential to achieve quality control in developing and applying large models." --John N. Warfield

Keywords

Mathematica complex systems complexity kernel management model modeling

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-27650-5
  • Copyright Information Springer-Verlag US 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Engineering
  • Print ISBN 978-0-387-23418-2
  • Online ISBN 978-0-387-27650-2
  • Series Print ISSN 1574-0463
  • About this book