Constraint Theory: Multidimensional Mathematical Model Management (IFSR International Series on Systems Science and Engineering)

✍ Scribed by George Friedman

• Year: 2005
• Tongue: English
• Leaves: 206
• Edition: 1
• Category: Library

✦ Synopsis

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 to all engineers, mathematicians and managers concerned with modeling.

✦ Table of Contents

Preliminaries......Page 2
Preface......Page 8
Introduction......Page 10
Contents......Page 17
CHAPTER 1 MOTIVATIONS......Page 20
CHAPTER 2 THE FOUR-FOLDWAY......Page 44
CHAPTER 3 GENERAL RESULTS......Page 68
CHAPTER 4 REGULAR RELATIONS......Page 80
CHAPTER 5 DISCRETE AND INTERVAL RELATIONS......Page 130
CHAPTER 6 THE LOGICAL STRUCTURE OF CONSTRAINT THEORY......Page 148
CHAPTER 7 EXAMPLES OF CONSTRAINT THEORY APPLIED TO REAL-WORLD PROBLEMS......Page 156
CHAPTER 8 MANAGER AND ANALYST MEET AGAIN......Page 176
APPENDICES......Page 182
REFERENCES......Page 200
INDEX......Page 202

✦ Subjects

Финансово-экономические дисциплины;Математические методы и моделирование в экономике;