Mathematical Modeling and Optimization
An Essay for the Design of Computer-Based Modeling Tools
Authors: Hürlimann, Tony
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- About this book
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Computer-based mathematical modeling - the technique of representing and managing models in machine-readable form - is still in its infancy despite the many powerful mathematical software packages already available which can solve astonishingly complex and large models. On the one hand, using mathematical and logical notation, we can formulate models which cannot be solved by any computer in reasonable time - or which cannot even be solved by any method. On the other hand, we can solve certain classes of much larger models than we can practically handle and manipulate without heavy programming. This is especially true in operations research where it is common to solve models with many thousands of variables. Even today, there are no general modeling tools that accompany the whole modeling process from start to finish, that is to say, from model creation to report writing. This book proposes a framework for computer-based modeling. More precisely, it puts forward a modeling language as a kernel representation for mathematical models. It presents a general specification for modeling tools. The book does not expose any solution methods or algorithms which may be useful in solving models, neither is it a treatise on how to build them. No help is intended here for the modeler by giving practical modeling exercises, although several models will be presented in order to illustrate the framework. Nevertheless, a short introduction to the modeling process is given in order to expound the necessary background for the proposed modeling framework.
- Table of contents (11 chapters)
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Introduction
Pages 1-13
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What is Modeling?
Pages 17-36
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The Modeling Life Cycle
Pages 37-65
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Model Paradigms
Pages 67-97
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Problems and Concepts
Pages 101-114
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Mathematical Modeling and Optimization
- Book Subtitle
- An Essay for the Design of Computer-Based Modeling Tools
- Authors
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- Tony Hürlimann
- Series Title
- Applied Optimization
- Series Volume
- 31
- Copyright
- 1999
- Publisher
- Springer US
- Copyright Holder
- Springer Science+Business Media Dordrecht
- eBook ISBN
- 978-1-4757-5793-4
- DOI
- 10.1007/978-1-4757-5793-4
- Hardcover ISBN
- 978-0-7923-5927-2
- Softcover ISBN
- 978-1-4419-4814-4
- Series ISSN
- 1384-6485
- Edition Number
- 1
- Number of Pages
- XXII, 313
- Topics
