Constraint Theory : Multidimensional Mathematical Model Management

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 m...

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Bibliografski detalji
Glavni autor: Friedman, George J.
Format: Livre numérique
Jezik:Anglais
Izdano: Boston, MA : Springer US [20..].
Cham : Springer Nature
Izdanje:1st ed. 2005.
Serija:Ifsr International Series on Systems Science and Engineering 24
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Bilješka: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Constraint theory, multidimensional mathematical model management, George J. Friedman, New York, Springer, 2005, 1 vol. (xxi, 187 p.), International series on systems science and engineering, 0-387-23418-7
Opis
Sažetak: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
Opis djela:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9780387276502
ISSN:2698-5497
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