Modeling Languages in Mathematical Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1461302153
Total Pages : 427 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Modeling Languages in Mathematical Optimization by : Josef Kallrath

Download or read book Modeling Languages in Mathematical Optimization written by Josef Kallrath and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modeling Languages in Mathematical Optimization

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Publisher :
ISBN 13 : 9781461302162
Total Pages : 440 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis Modeling Languages in Mathematical Optimization by : Josef Kallrath

Download or read book Modeling Languages in Mathematical Optimization written by Josef Kallrath and published by . This book was released on 2014-09-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

AMPL

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Publisher :
ISBN 13 : 9780894262340
Total Pages : 351 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis AMPL by : Robert Fourer

Download or read book AMPL written by Robert Fourer and published by . This book was released on 1993 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Modeling Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642235921
Total Pages : 255 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Algebraic Modeling Systems by : Josef Kallrath

Download or read book Algebraic Modeling Systems written by Josef Kallrath and published by Springer Science & Business Media. This book was released on 2012-02-14 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book Algebraic Modeling Systems – Modeling and Solving Real World Optimization Problems – deals with the aspects of modeling and solving real-world optimization problems in a unique combination. It treats systematically the major algebraic modeling languages (AMLs) and modeling systems (AMLs) used to solve mathematical optimization problems. AMLs helped significantly to increase the usage of mathematical optimization in industry. Therefore it is logical consequence that the GOR (Gesellschaft für Operations Research) Working Group Mathematical Optimization in Real Life had a second meeting devoted to AMLs, which, after 7 years, followed the original 71st Meeting of the GOR (Gesellschaft für Operations Research) Working Group Mathematical Optimization in Real Life which was held under the title Modeling Languages in Mathematical Optimization during April 23–25, 2003 in the German Physics Society Conference Building in Bad Honnef, Germany. While the first meeting resulted in the book Modeling Languages in Mathematical Optimization, this book is an offspring of the 86th Meeting of the GOR working group which was again held in Bad Honnef under the title Modeling Languages in Mathematical Optimization.

Mathematical Modeling and Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 147575793X
Total Pages : 323 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Modeling and Optimization by : Tony Hürlimann

Download or read book Mathematical Modeling and Optimization written by Tony Hürlimann and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Business Optimization Using Mathematical Programming

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Publisher : Springer Nature
ISBN 13 : 3030732371
Total Pages : 653 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Business Optimization Using Mathematical Programming by : Josef Kallrath

Download or read book Business Optimization Using Mathematical Programming written by Josef Kallrath and published by Springer Nature. This book was released on 2021-08-31 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer Science & Business Media
ISBN 13 : 146143226X
Total Pages : 245 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Pyomo – Optimization Modeling in Python by : William E. Hart

Download or read book Pyomo – Optimization Modeling in Python written by William E. Hart and published by Springer Science & Business Media. This book was released on 2012-02-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimization and Mathematical Modeling in Computer Architecture

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Publisher : Springer Nature
ISBN 13 : 3031017730
Total Pages : 144 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Optimization and Mathematical Modeling in Computer Architecture by : Karu Sankaralingam

Download or read book Optimization and Mathematical Modeling in Computer Architecture written by Karu Sankaralingam and published by Springer Nature. This book was released on 2022-05-31 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modelling in Mathematical Programming

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Publisher : Springer Nature
ISBN 13 : 3030572501
Total Pages : 291 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Modelling in Mathematical Programming by : José Manuel García Sánchez

Download or read book Modelling in Mathematical Programming written by José Manuel García Sánchez and published by Springer Nature. This book was released on 2020-10-31 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides basic tools for learning how to model in mathematical programming, from models without much complexity to complex system models. It presents a unique methodology for the building of an integral mathematical model, as well as new techniques that help build under own criteria. It allows readers to structure models from the elements and variables to the constraints, a basic modelling guide for any system with a new scheme of variables, a classification of constraints and also a set of rules to model specifications stated as logical propositions, helping to better understand models already existing in the literature. It also presents the modelling of all possible objectives that may arise in optimization problems regarding the variables values. The book is structured to guide the reader in an orderly manner, learning of the components that the methodology establishes in an optimization problem. The system includes the elements, which are all the actors that participate in the system, decision activities that occur in the system, calculations based on the decision activities, specifications such as regulations, impositions or actions of defined value and objective criterion, which guides the resolution of the system.

Methods and Models in Mathematical Programming

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Publisher : Springer Nature
ISBN 13 : 3030270459
Total Pages : 389 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Methods and Models in Mathematical Programming by : S. A. MirHassani

Download or read book Methods and Models in Mathematical Programming written by S. A. MirHassani and published by Springer Nature. This book was released on 2019-12-09 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Optimization Applications Using the GAMS Technology

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Publisher : Springer Science & Business Media
ISBN 13 : 1461467977
Total Pages : 356 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Optimization Applications Using the GAMS Technology by : Neculai Andrei

Download or read book Nonlinear Optimization Applications Using the GAMS Technology written by Neculai Andrei and published by Springer Science & Business Media. This book was released on 2013-06-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a collection of nonlinear optimization applications from the real world, expressed in the General Algebraic Modeling System (GAMS). The concepts are presented so that the reader can quickly modify and update them to represent real-world situations.

Aimms Optimization Modeling

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Publisher : Lulu.com
ISBN 13 : 1847539122
Total Pages : 318 pages
Book Rating : 4.8/5 (475 download)

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Book Synopsis Aimms Optimization Modeling by : Johannes Bisschop

Download or read book Aimms Optimization Modeling written by Johannes Bisschop and published by Lulu.com. This book was released on 2006 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AIMMS Optimization Modeling book provides not only an introduction to modeling but also a suite of worked examples. It is aimed at users who are new to modeling and those who have limited modeling experience. Both the basic concepts of optimization modeling and more advanced modeling techniques are discussed. The Optimization Modeling book is AIMMS version independent.

Modern Optimization Modelling Techniques

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Publisher : Springer Science & Business Media
ISBN 13 : 3034802919
Total Pages : 265 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Optimization Modelling Techniques by : Roberto Cominetti

Download or read book Modern Optimization Modelling Techniques written by Roberto Cominetti and published by Springer Science & Business Media. This book was released on 2012-08-28 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on display this versatility, by exhibiting the three parallel and complementary components of optimization: theory, algorithms, and practical problems. The book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. The first part is a self-contained course on the general moment problem and its relations with semidefinite programming. The second part is dedicated to the problem of determination of Nash equilibria from an algorithmic viewpoint. The last part presents congestion models for traffic networks and develops modern optimization techniques for finding traffic equilibria based on stochastic optimization and game theory.

Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology

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Publisher : Springer
ISBN 13 : 3319583565
Total Pages : 514 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology by : Neculai Andrei

Download or read book Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology written by Neculai Andrei and published by Springer. This book was released on 2017-12-04 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theoretical details and computational performances of algorithms used for solving continuous nonlinear optimization applications imbedded in GAMS. Aimed toward scientists and graduate students who utilize optimization methods to model and solve problems in mathematical programming, operations research, business, engineering, and industry, this book enables readers with a background in nonlinear optimization and linear algebra to use GAMS technology to understand and utilize its important capabilities to optimize algorithms for modeling and solving complex, large-scale, continuous nonlinear optimization problems or applications. Beginning with an overview of constrained nonlinear optimization methods, this book moves on to illustrate key aspects of mathematical modeling through modeling technologies based on algebraically oriented modeling languages. Next, the main feature of GAMS, an algebraically oriented language that allows for high-level algebraic representation of mathematical optimization models, is introduced to model and solve continuous nonlinear optimization applications. More than 15 real nonlinear optimization applications in algebraic and GAMS representation are presented which are used to illustrate the performances of the algorithms described in this book. Theoretical and computational results, methods, and techniques effective for solving nonlinear optimization problems, are detailed through the algorithms MINOS, KNITRO, CONOPT, SNOPT and IPOPT which work in GAMS technology.

Mathematical Modeling Approaches for Optimization of Chemical Processes

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Publisher :
ISBN 13 : 9781604569421
Total Pages : 0 pages
Book Rating : 4.5/5 (694 download)

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Book Synopsis Mathematical Modeling Approaches for Optimization of Chemical Processes by : Gabriela Corsano

Download or read book Mathematical Modeling Approaches for Optimization of Chemical Processes written by Gabriela Corsano and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling is a powerful tool for solving optimisation problems in chemical engineering. In this work several models are proposed aimed at helping to make decisions about different aspects of the processes lifecycle, from the synthesis and design steps up to the operation and scheduling. Using an example of the Sugar Cane industry, several models are formulated and solved in order to assess the trade-offs involved in optimisation decisions. Thus, the power and versatility of mathematical modelling in the area of chemical processes optimisation is analysed and evaluated.

Mathematical Models and Algorithms for Power System Optimization

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Publisher : Academic Press
ISBN 13 : 0128132310
Total Pages : 450 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Mathematical Models and Algorithms for Power System Optimization by : Mingtian Fan

Download or read book Mathematical Models and Algorithms for Power System Optimization written by Mingtian Fan and published by Academic Press. This book was released on 2019-08-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models and Algorithms for Power System Optimization helps readers build a thorough understanding of new technologies and world-class practices developed by the State Grid Corporation of China, the organization responsible for the world's largest power distribution network. This reference covers three areas: power operation planning, electric grid investment and operational planning and power system control. It introduces economic dispatching, generator maintenance scheduling, power flow, optimal load flow, reactive power planning, load frequency control and transient stability, using mathematic models including optimization, dynamic, differential and difference equations. Provides insights on the development of new mathematical models of power system optimization Analyzes power systems comprehensively to create novel mathematic models and algorithms for issues related to the planning operation of power systems Includes research on the optimization of power systems and related practical research projects carried out since 1981

AMPL

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Publisher : Cengage Learning
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis AMPL by : Robert Fourer

Download or read book AMPL written by Robert Fourer and published by Cengage Learning. This book was released on 2003 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: A supplemental textbook introducing mathematical programming using the commercial software package, designed to be used in conjunction with a full text explaining the optimization theory and algorithmic details used in mathematical programming. The second edition incorporates developments in the software since 1992. Annotation copyrighted by Book News, Inc., Portland, OR.