Mathematical Modeling and Optimization

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Release : 2013-03-14
Genre : Mathematics
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Book Rating : 93X/5 ( reviews)

Mathematical Modeling and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modeling and Optimization write by Tony Hürlimann. This book was released on 2013-03-14. Mathematical Modeling and Optimization available in PDF, EPUB and Kindle. 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.

Mathematical Modeling, Simulation and Optimization for Power Engineering and Management

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Release : 2021-02-02
Genre : Technology & Engineering
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Book Rating : 322/5 ( reviews)

Mathematical Modeling, Simulation and Optimization for Power Engineering and Management - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modeling, Simulation and Optimization for Power Engineering and Management write by Simone Göttlich. This book was released on 2021-02-02. Mathematical Modeling, Simulation and Optimization for Power Engineering and Management available in PDF, EPUB and Kindle. This edited monograph offers a summary of future mathematical methods supporting the recent energy sector transformation. It collects current contributions on innovative methods and algorithms. Advances in mathematical techniques and scientific computing methods are presented centering around economic aspects, technical realization and large-scale networks. Over twenty authors focus on the mathematical modeling of such future systems with careful analysis of desired properties and arising scales. Numerical investigations include efficient methods for the simulation of possibly large-scale interconnected energy systems and modern techniques for optimization purposes to guarantee stable and reliable future operations. The target audience comprises research scientists, researchers in the R&D field, and practitioners. Since the book highlights possible future research directions, graduate students in the field of mathematical modeling or electrical engineering may also benefit strongly.

Pyomo – Optimization Modeling in Python

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Release : 2012-02-15
Genre : Mathematics
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Book Rating : 26X/5 ( reviews)

Pyomo – Optimization Modeling in Python - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pyomo – Optimization Modeling in Python write by William E. Hart. This book was released on 2012-02-15. Pyomo – Optimization Modeling in Python available in PDF, EPUB and Kindle. This book provides a complete and comprehensive reference/guide to Pyomo (Python Optimization Modeling Objects) for both beginning and advanced modelers, including students at the undergraduate and graduate levels, academic researchers, and practitioners. The text illustrates the breadth of the modeling and analysis capabilities that are supported by the software and support of complex real-world applications. Pyomo is an open source software package for formulating and solving large-scale optimization and operations research problems. The text begins with a tutorial on simple linear and integer programming models. A detailed reference of Pyomo's modeling components is illustrated with extensive examples, including a discussion of how to load data from data sources like spreadsheets and databases. Chapters describing advanced modeling capabilities for nonlinear and stochastic optimization are also included. The Pyomo software provides familiar modeling features within Python, a powerful dynamic programming language that has a very clear, readable syntax and intuitive object orientation. Pyomo includes Python classes for defining sparse sets, parameters, and variables, which can be used to formulate algebraic expressions that define objectives and constraints. Moreover, Pyomo can be used from a command-line interface and within Python's interactive command environment, which makes it easy to create Pyomo models, apply a variety of optimizers, and examine solutions. The software supports a different modeling approach than commercial AML (Algebraic Modeling Languages) tools, and is designed for flexibility, extensibility, portability, and maintainability but also maintains the central ideas in modern AMLs.

Advances in Mathematical Modeling, Optimization and Optimal Control

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Release : 2016-05-19
Genre : Mathematics
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Book Rating : 851/5 ( reviews)

Advances in Mathematical Modeling, Optimization and Optimal Control - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Mathematical Modeling, Optimization and Optimal Control write by Jean-Baptiste Hiriart-Urruty. This book was released on 2016-05-19. Advances in Mathematical Modeling, Optimization and Optimal Control available in PDF, EPUB and Kindle. This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable. The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a first order in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.

Modeling Languages in Mathematical Optimization

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Release : 2013-12-01
Genre : Mathematics
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Book Rating : 153/5 ( reviews)

Modeling Languages in Mathematical Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling Languages in Mathematical Optimization write by Josef Kallrath. This book was released on 2013-12-01. Modeling Languages in Mathematical Optimization available in PDF, EPUB and Kindle. This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems.