Constraint Theory

Multidimensional Mathematical Model Management

George Friedman - Collection ISFR International Series on Systems Science and Engineering

186 pages, parution le 02/06/2005

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Résumé

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.

Sommaire

Motivations: What is Constraint Theory and why is it important?
The Four-fold way: How to Perceive Complex Mathematical Models and Well-Posed Problems
General Results: From Protomath to Math to Metamath
Regular Relations: Searching for the Kernels of Constraint
Discrete and Interval Relations: The Diminished Utility of Metamodels
The Logical Structure of Constraint: Theory A Compact Summary
Examples of Constraint Theory Applied to Real-World Problems
Manager and Analyst Meet Again: Gists and Schizophrenia
Appendices
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	George Friedman
Collection	ISFR International Series on Systems Science and Engineering
Parution	02/06/2005
Nb. de pages	186
Format	15,5 x 24
Couverture	Relié
Poids	433g
Intérieur	Noir et Blanc
EAN13	9780387234182