Mathematical Modeling And Optimization

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Mathematical Modeling and Optimization

Author : Tony Hürlimann
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.

Advances in Mathematical Modeling, Optimization and Optimal Control

Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer
ISBN 13 : 3319307851
Total Pages : 205 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances in Mathematical Modeling, Optimization and Optimal Control by : Jean-Baptiste Hiriart-Urruty

Download or read book Advances in Mathematical Modeling, Optimization and Optimal Control written by Jean-Baptiste Hiriart-Urruty and published by Springer. This book was released on 2016-05-19 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modeling, Simulation and Optimization for Power Engineering and Management

Author : Simone Göttlich
Publisher : Springer
ISBN 13 : 9783030627348
Total Pages : 325 pages
Book Rating : 4.6/5 (273 download)

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Book Synopsis Mathematical Modeling, Simulation and Optimization for Power Engineering and Management by : Simone Göttlich

Download or read book Mathematical Modeling, Simulation and Optimization for Power Engineering and Management written by Simone Göttlich and published by Springer. This book was released on 2022-02-17 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modeling Languages in Mathematical Optimization

Author : Josef Kallrath
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.

Optimization and Mathematical Modeling in Computer Architecture

Author : Karu Sankaralingam
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.

Pyomo – Optimization Modeling in Python

Author : William E. Hart
Publisher : Springer Science & Business Media
ISBN 13 : 146143226X
Total Pages : 238 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 238 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.

Mathematical Models and Algorithms for Power System Optimization

Author : Mingtian Fan
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

Mathematical Modelling and Optimization of Engineering Problems

Author : J. A. Tenreiro Machado
Publisher : Springer Nature
ISBN 13 : 3030370623
Total Pages : 204 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematical Modelling and Optimization of Engineering Problems by : J. A. Tenreiro Machado

Download or read book Mathematical Modelling and Optimization of Engineering Problems written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2020-02-12 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Modeling

Author : Mark M. Meerschaert
Publisher : Elsevier
ISBN 13 : 9780123708571
Total Pages : 360 pages
Book Rating : 4.7/5 (85 download)

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Book Synopsis Mathematical Modeling by : Mark M. Meerschaert

Download or read book Mathematical Modeling written by Mark M. Meerschaert and published by Elsevier. This book was released on 2007-06-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling, Third Edition is a general introduction to an increasingly crucial topic for today's mathematicians. Unlike textbooks focused on one kind of mathematical model, this book covers the broad spectrum of modeling problems, from optimization to dynamical systems to stochastic processes. Mathematical modeling is the link between mathematics and the rest of the world. Meerschaert shows how to refine a question, phrasing it in precise mathematical terms. Then he encourages students to reverse the process, translating the mathematical solution back into a comprehensible, useful answer to the original question. This textbook mirrors the process professionals must follow in solving complex problems. Each chapter in this book is followed by a set of challenging exercises. These exercises require significant effort on the part of the student, as well as a certain amount of creativity. Meerschaert did not invent the problems in this book--they are real problems, not designed to illustrate the use of any particular mathematical technique. Meerschaert's emphasis on principles and general techniques offers students the mathematical background they need to model problems in a wide range of disciplines. Increased support for instructors, including MATLAB material New sections on time series analysis and diffusion models Additional problems with international focus such as whale and dolphin populations, plus updated optimization problems

Mathematical Modeling in Economics, Ecology and the Environment

Author : N.V. Hritonenko
Publisher : Springer Science & Business Media
ISBN 13 : 1441997334
Total Pages : 225 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mathematical Modeling in Economics, Ecology and the Environment by : N.V. Hritonenko

Download or read book Mathematical Modeling in Economics, Ecology and the Environment written by N.V. Hritonenko and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Mathematical Modelling, Optimization and Their Applications

Author : P. C. Jha
Publisher :
ISBN 13 : 9788184870671
Total Pages : 0 pages
Book Rating : 4.8/5 (76 download)

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Book Synopsis Mathematical Modelling, Optimization and Their Applications by : P. C. Jha

Download or read book Mathematical Modelling, Optimization and Their Applications written by P. C. Jha and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling and optimization are the key tools for scientific analysis of real life systems. The application of modelling and optimization for the study of business and the market system provide advantages over the competitors.

Chemical Process Retrofitting and Revamping

Author : Gade Pandu Rangaiah
Publisher : John Wiley & Sons
ISBN 13 : 1119016304
Total Pages : 432 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Chemical Process Retrofitting and Revamping by : Gade Pandu Rangaiah

Download or read book Chemical Process Retrofitting and Revamping written by Gade Pandu Rangaiah and published by John Wiley & Sons. This book was released on 2016-01-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proposed book will be divided into three parts. The chapters in Part I provide an overview of certain aspect of process retrofitting. The focus of Part II is on computational techniques for solving process retrofit problems. Finally, Part III addresses retrofit applications from diverse process industries. Some chapters in the book are contributed by practitioners whereas others are from academia. Hence, the book includes both new developments from research and also practical considerations. Many chapters include examples with realistic data. All these feature make the book useful to industrial engineers, researchers and students.

Modeling, Simulation, and Optimization of Supply Chains

Author : Ciro D'Apice
Publisher : SIAM
ISBN 13 : 0898717000
Total Pages : 209 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Modeling, Simulation, and Optimization of Supply Chains by : Ciro D'Apice

Download or read book Modeling, Simulation, and Optimization of Supply Chains written by Ciro D'Apice and published by SIAM. This book was released on 2010-07-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a state-of-the-art introduction to the mathematical theory of supply chain networks, focusing on those described by partial differential equations. The authors discuss modeling of complex supply networks as well as their mathematical theory, explore modeling, simulation, and optimization of some of the discussed models, and present analytical and numerical results on optimization problems. Real-world examples are given to demonstrate the applicability of the presented approaches. Graduate students and researchers who are interested in the theory of supply chain networks described by partial differential equations will find this book useful. It can also be used in advanced graduate-level courses on modeling of physical phenomena as well as introductory courses on supply chain theory.

Modeling and Optimization of the Lifetime of Technologies

Author : N.V. Hritonenko
Publisher : Springer Science & Business Media
ISBN 13 : 1461334462
Total Pages : 282 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Modeling and Optimization of the Lifetime of Technologies by : N.V. Hritonenko

Download or read book Modeling and Optimization of the Lifetime of Technologies written by N.V. Hritonenko and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern economic growth is characterized by structural changes based on the introduction of new technologies into economics. The replacement and renova tion of technologies in industrial environments undergoing technical change is clearly one of the key aspects of economic development. The mathematical modeling of evolutionary economics under technical change (TC) has been rigorously considered by many authors during last decades. There is a wide variety of economic approaches and models describing different aspects of technical change. Among these are the models of embodied technical progress [19], [35], [70], [129], endogenous growth models [94], [102], the models of technological innovations [31], [32], [41], and others. The perspective self organization evolutionary approach is developed in [20], [38], [122], [123], [124], [126], which unites the aspects of diffusion of new technologies, technological and behavioral diversity of firms, learning mechanisms, age-dependent effects, and other important features of real-life economics. On the whole, an interest in evolutionary economics has brought considerable progress in the description and conceptualization of the sources, characteristics, direction and effects of technical change [125]. However, the modeling and control of technology lifetime under technical change has received rather little attention in mathematical economics in con trary to other aspects of technical progress. The lifetime of technologies has rarely been formally treated as a part of more general mathematical theory of economic dynamics. A problem which is still to be resolved consists in establishing the rational strategies of technologies' replacement under various assumptions on the behavior of technical change.

Mathematical Modeling Approaches for Optimization of Chemical Processes

Author : Gabriela Corsano
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.

Numerical Analysis and Optimization

Author : Grégoire Allaire
Publisher : OUP Oxford
ISBN 13 : 0191525529
Total Pages : 472 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Numerical Analysis and Optimization by : Grégoire Allaire

Download or read book Numerical Analysis and Optimization written by Grégoire Allaire and published by OUP Oxford. This book was released on 2007-05-24 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, based on the author's teaching at École Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Covering the finite difference method; variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the finite element method; Eigenvalue problems; evolution problems; optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is an ideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, and the physical sciences.

Handbook on Modelling for Discrete Optimization

Author : Gautam M. Appa
Publisher : Springer Science & Business Media
ISBN 13 : 0387329420
Total Pages : 443 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Handbook on Modelling for Discrete Optimization by : Gautam M. Appa

Download or read book Handbook on Modelling for Discrete Optimization written by Gautam M. Appa and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to demonstrate and detail the pervasive nature of Discrete Optimization. The handbook couples the difficult, critical-thinking aspects of mathematical modeling with the hot area of discrete optimization. It is done with an academic treatment outlining the state-of-the-art for researchers across the domains of the Computer Science, Math Programming, Applied Mathematics, Engineering, and Operations Research. The book utilizes the tools of mathematical modeling, optimization, and integer programming to solve a broad range of modern problems.