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

George Friedman (Author)

Book Description

Publication Date: April 7, 2005 | ISBN-10: 0387234187 | ISBN-13: 978-0387234182 | Edition: 1

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.

Editorial Reviews

Review

Dr. George Friedman is indisputably the father of the very powerful methods of Constraint Theory. Indeed, in 1970 it received major commendation by the IEEE: Dr. Friedman's pioneering research was awarded the highly prestigious W.R.G. Baker prize as the most significant published research contribution among thousands of published research papers. This speaks volumes for Dr. Friedman's contribution. --Cornelius T. Leondes, UCLA Friedman's accomplishment represents engineering at its finest. The choice of subject matter must be honored by the experience gained in his many years of high-level service in the company now known as Northrop-Grumman. 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

From the Back Cover

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

Product Details

• Hardcover: 216 pages
• Publisher: Springer; 1 edition (April 7, 2005)
• Language: English
• ISBN-10: 0387234187
• ISBN-13: 978-0387234182
• Product Dimensions: 9.2 x 6.1 x 0.5 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #1,034,178 in Books (See Top 100 in Books)

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