Aspects Of Mathematical Modeling Related To 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.

Aspects of mathematical modeling related to optimization

Author : Philip E. Gill
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (219 download)

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Book Synopsis Aspects of mathematical modeling related to optimization by : Philip E. Gill

Download or read book Aspects of mathematical modeling related to optimization written by Philip E. Gill and published by . This book was released on 1980 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many practical optimization problems involve mathematical models of complex real-world phenomena. This paper discusses some aspects of modeling that influence the performance of optimization methods. Information and advice are given concerning the construction of smooth models, the transformation of an optimization problem from one category to another, scaling, formulation of constraints, and techniques for special types of models. (Author).

Pyomo – Optimization Modeling in Python

Author : William E. Hart
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.

Mathematical Modeling and Optimization of Complex Structures

Author : Pekka Neittaanmäki
Publisher : Springer
ISBN 13 : 3319235648
Total Pages : 337 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Modeling and Optimization of Complex Structures by : Pekka Neittaanmäki

Download or read book Mathematical Modeling and Optimization of Complex Structures written by Pekka Neittaanmäki and published by Springer. This book was released on 2015-10-07 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

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.

Modeling, Computation and Optimization

Author : S. K. Neogy
Publisher : World Scientific
ISBN 13 : 9814273503
Total Pages : 348 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Modeling, Computation and Optimization by : S. K. Neogy

Download or read book Modeling, Computation and Optimization written by S. K. Neogy and published by World Scientific. This book was released on 2009 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides recent developments and a state-of-the-art review in various areas of mathematical modeling, computation and optimization. It contains theory, computation as well as the applications of several mathematical models to problems in statistics, games, optimization and economics for decision making. It focuses on exciting areas like models for wireless networks, models of Nash networks, dynamic models of advertising, application of reliability models in economics, support vector machines, optimization, complementarity modeling and games.

Mathematical Modeling, Simulation and Optimization for Power Engineering and Management

Author : Simone Göttlich
Publisher : Springer Nature
ISBN 13 : 3030627322
Total Pages : 333 pages
Book Rating : 4.0/5 (36 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 Nature. This book was released on 2021-02-02 with total page 333 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.

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 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.

Modeling and Optimization in Space Engineering

Author : Giorgio Fasano
Publisher : Springer Science & Business Media
ISBN 13 : 1461444683
Total Pages : 409 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Modeling and Optimization in Space Engineering by : Giorgio Fasano

Download or read book Modeling and Optimization in Space Engineering written by Giorgio Fasano and published by Springer Science & Business Media. This book was released on 2012-10-23 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a selection of advanced case studies that address a substantial range of issues and challenges arising in space engineering. The contributing authors are well-recognized researchers and practitioners in space engineering and in applied optimization. The key mathematical modeling and numerical solution aspects of each application case study are presented in sufficient detail. Classic and more recent space engineering problems – including cargo accommodation and object placement, flight control of satellites, integrated design and trajectory optimization, interplanetary transfers with deep space manoeuvres, low energy transfers, magnetic cleanliness modeling, propulsion system design, sensor system placement, systems engineering, space traffic logistics, and trajectory optimization – are discussed. Novel points of view related to computational global optimization and optimal control, and to multidisciplinary design optimization are also given proper emphasis. A particular attention is paid also to scenarios expected in the context of future interplanetary explorations. Modeling and Optimization in Space Engineering will benefit researchers and practitioners working on space engineering applications. Academics, graduate and post-graduate students in the fields of aerospace and other engineering, applied mathematics, operations research and optimal control will also find the book useful, since it discusses a range of advanced model development and solution techniques and tools in the context of real-world applications and new challenges.

Modeling and Optimization in Space Engineering

Author : Giorgio Fasano
Publisher : Springer Nature
ISBN 13 : 3031248120
Total Pages : 403 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Modeling and Optimization in Space Engineering by : Giorgio Fasano

Download or read book Modeling and Optimization in Space Engineering written by Giorgio Fasano and published by Springer Nature. This book was released on 2023-04-29 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of 14 contributed chapters written by leading experts, offering in-depth discussions of the mathematical modeling and algorithmic aspects for tackling a range of space engineering applications. This book will be of interest to researchers and practitioners working in the field of space engineering. Since it offers an in-depth exposition of the mathematical modelling, algorithmic and numerical solution aspects of the topics covered, the book will also be useful to aerospace engineering graduates and post-graduate students who wish to expand their knowledge by studying real-world applications and challenges that they will encounter in their profession. Readers will obtain a broad overview of some of the most challenging space engineering operational scenarios of today and tomorrow: this will be useful for managers in the aerospace field, as well as in other industrial sectors. The contributed chapters are mainly focused on space engineering practice. Researchers and practitioners in mathematical systems modelling, operations research, optimization, and optimal control will also benefit from the case studies presented in this book. The model development and optimization approaches discussed can be extended towards other application areas that are not directly related to space engineering. Therefore, the book can be a useful reference to assist in the development of new modelling and optimization applications.

Nonlinear Optimization Applications Using the GAMS Technology

Author : Neculai Andrei
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.

Numerical Analysis and Optimization

Author : Grégoire Allaire
Publisher : Oxford University Press, USA
ISBN 13 : 0199205213
Total Pages : 472 pages
Book Rating : 4.1/5 (992 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 Oxford University Press, USA. This book was released on 2007-05-24 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Analysis and Optimization familiarises students with mathematical models (PDEs) and methods of numerical solution and optimization. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.

Optimization Methods and Applications

Author : Sergiy Butenko
Publisher : Springer
ISBN 13 : 3319686402
Total Pages : 637 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Optimization Methods and Applications by : Sergiy Butenko

Download or read book Optimization Methods and Applications written by Sergiy Butenko and published by Springer. This book was released on 2018-02-20 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers and practitioners in computer science, optimization, operations research and mathematics will find this book useful as it illustrates optimization models and solution methods in discrete, non-differentiable, stochastic, and nonlinear optimization. Contributions from experts in optimization are showcased in this book showcase a broad range of applications and topics detailed in this volume, including pattern and image recognition, computer vision, robust network design, and process control in nonlinear distributed systems. This book is dedicated to the 80th birthday of Ivan V. Sergienko, who is a member of the National Academy of Sciences (NAS) of Ukraine and the director of the V.M. Glushkov Institute of Cybernetics. His work has had a significant impact on several theoretical and applied aspects of discrete optimization, computational mathematics, systems analysis and mathematical modeling.

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 ...