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,
Constraint theory : multidimensional mathematical model management
β Scribed by Friedman, George J.; Phan, Phan
- Year
- 2017
- Tongue
- English
- Leaves
- 235
- Series
- IFSR International series on systems science and engineering 23 Ed.2
- Edition
- Second edition
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Packed with new material and research, this second edition of George Friedmanβs bestselling Constraint Theory remains an invaluable reference for all engineers, mathematicians, and managers concerned with modeling. As in the first edition, this text analyzes the way Constraint Theory employs bipartite graphs and presents the process of locating the βkernel of constraintβ trillions of times faster than brute-force approaches, determining model consistency and computational allowability. Unique in its abundance of topological pictures of the material, this book balances left- and right-brain perceptions to provide a thorough explanation of multidimensional mathematical models. Much of the extended material in this new edition also comes from Phan Phanβs PhD dissertation in 2011, titled βExpanding Constraint Theory to Determine Well-Posedness of Large Mathematical Models.β
Praise for the first edition:
"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
β¦ Table of Contents
Front Matter ....Pages i-xxiii
Motivations (George J. Friedman, Phan Phan)....Pages 1-23
The Four-Fold Way (George J. Friedman, Phan Phan)....Pages 25-48
General Results (George J. Friedman, Phan Phan)....Pages 49-60
Regular Relations (George J. Friedman, Phan Phan)....Pages 61-100
Model Consistency and Computational Allowability (George J. Friedman, Phan Phan)....Pages 101-136
Discrete and Interval Relations (George J. Friedman, Phan Phan)....Pages 137-154
The Logical Structure of Constraint Theory (George J. Friedman, Phan Phan)....Pages 155-162
Examples of Constraint Theory Applied to Real-World Problems (George J. Friedman, Phan Phan)....Pages 163-182
Manager and Analyst Meet Again (George J. Friedman, Phan Phan)....Pages 183-187
Back Matter ....Pages 189-219
β¦ Subjects
Ma
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