Modeling Languages In Mathematical Optimization

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Modeling Languages In Mathematical Optimization
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Author : Josef Kallrath
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-29
Modeling Languages In Mathematical Optimization written by Josef Kallrath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-29 with Computers categories.
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.
Ampl
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Author : Robert Fourer
language : en
Publisher:
Release Date : 1993
Ampl written by Robert Fourer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with AMPL (Computer program language) categories.
Modeling Languages In Mathematical Optimization
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Author : Josef Kallrath
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Modeling Languages In Mathematical Optimization written by Josef Kallrath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
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.
Business Optimization Using Mathematical Programming
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Author : Josef Kallrath
language : en
Publisher: Springer Nature
Release Date : 2021-08-31
Business Optimization Using Mathematical Programming written by Josef Kallrath and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-31 with Business & Economics categories.
This book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques.
Pyomo Optimization Modeling In Python
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Author : William E. Hart
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-15
Pyomo Optimization Modeling In Python written by William E. Hart and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-15 with Mathematics categories.
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.
Methods And Models In Mathematical Programming
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Author : S. A. MirHassani
language : en
Publisher: Springer Nature
Release Date : 2019-12-09
Methods And Models In Mathematical Programming written by S. A. MirHassani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-09 with Mathematics categories.
This book focuses on mathematical modeling, describes the process of constructing and evaluating models, discusses the challenges and delicacies of the modeling process, and explicitly outlines the required rules and regulations so that the reader will be able to generalize and reuse concepts in other problems by relying on mathematical logic.Undergraduate and postgraduate students of different academic disciplines would find this book a suitable option preparing them for jobs and research fields requiring modeling techniques. Furthermore, this book can be used as a reference book for experts and practitioners requiring advanced skills of model building in their jobs.
Optimization And Mathematical Modeling In Computer Architecture
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Author : Karu Sankaralingam
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2013-09-01
Optimization And Mathematical Modeling In Computer Architecture written by Karu Sankaralingam and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-01 with Computers categories.
In this book we give an overview of modeling techniques used to describe computer systems to mathematical optimization tools. We give a brief introduction to various classes of mathematical optimization frameworks with special focus on mixed integer linear programming which provides a good balance between solver time and expressiveness. We present four detailed case studies -- instruction set customization, data center resource management, spatial architecture scheduling, and resource allocation in tiled architectures -- showing how MILP can be used and quantifying by how much it outperforms traditional design exploration techniques. This book should help a skilled systems designer to learn techniques for using MILP in their problems, and the skilled optimization expert to understand the types of computer systems problems that MILP can be applied to.
Modeling Languages In Mathematical Optimization
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Author : Josef Kallrath
language : en
Publisher:
Release Date : 2014-09-01
Modeling Languages In Mathematical Optimization written by Josef Kallrath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Mathematical Modelling And Optimization Of Engineering Problems
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Author : J. A. Tenreiro Machado
language : en
Publisher: Springer Nature
Release Date : 2020-02-12
Mathematical Modelling And Optimization Of Engineering Problems written by J. A. Tenreiro Machado and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-12 with Mathematics categories.
This book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems. It provides recent theoretical developments and new techniques based on control, optimization theory, mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena including latest technologies such as additive manufacturing. Specific topics covered in detail include combinatorial optimization, flow and heat transfer, mathematical modelling, energy storage and management policy, artificial intelligence, optimal control, modelling and optimization of manufacturing systems.
Mathematical Optimization And Economic Analysis
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Author : Mikulás Luptácik
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03
Mathematical Optimization And Economic Analysis written by Mikulás Luptácik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-03 with Mathematics categories.
"Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.