Aggregation In Large Scale Optimization

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Aggregation In Large Scale Optimization

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Author : I. Litvinchev
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-30

Aggregation In Large Scale Optimization written by I. Litvinchev 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 2003-09-30 with Mathematics categories.

When analyzing systems with a large number of parameters, the dimen sion of the original system may present insurmountable difficulties for the analysis. It may then be convenient to reformulate the original system in terms of substantially fewer aggregated variables, or macrovariables. In other words, an original system with an n-dimensional vector of states is reformulated as a system with a vector of dimension much less than n. The aggregated variables are either readily defined and processed, or the aggregated system may be considered as an approximate model for the orig inal system. In the latter case, the operation of the original system can be exhaustively analyzed within the framework of the aggregated model, and one faces the problems of defining the rules for introducing macrovariables, specifying loss of information and accuracy, recovering original variables from aggregates, etc. We consider also in detail the so-called iterative aggregation approach. It constructs an iterative process, at· every step of which a macroproblem is solved that is simpler than the original problem because of its lower dimension. Aggregation weights are then updated, and the procedure passes to the next step. Macrovariables are commonly used in coordinating problems of hierarchical optimization.

Large Scale Optimization

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Author : Vladimir Tsurkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-03-31

Large Scale Optimization written by Vladimir Tsurkov 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 2001-03-31 with Computers categories.

Decomposition methods aim to reduce large-scale problems to simpler problems. This monograph presents selected aspects of the dimension-reduction problem. Exact and approximate aggregations of multidimensional systems are developed and from a known model of input-output balance, aggregation methods are categorized. The issues of loss of accuracy, recovery of original variables (disaggregation), and compatibility conditions are analyzed in detail. The method of iterative aggregation in large-scale problems is studied. For fixed weights, successively simpler aggregated problems are solved and the convergence of their solution to that of the original problem is analyzed. An introduction to block integer programming is considered. Duality theory, which is widely used in continuous block programming, does not work for the integer problem. A survey of alternative methods is presented and special attention is given to combined methods of decomposition. Block problems in which the coupling variables do not enter the binding constraints are studied. These models are worthwhile because they permit a decomposition with respect to primal and dual variables by two-level algorithms instead of three-level algorithms. Audience: This book is addressed to specialists in operations research, optimization, and optimal control.

Large Scale Systems 2004

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Author : Masao Ikeda
language : en
Publisher: Elsevier
Release Date : 2005-12-28

Large Scale Systems 2004 written by Masao Ikeda and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-28 with Science categories.

Solving Network Design Problems Via Decomposition Aggregation And Approximation

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Author : Andreas Bärmann
language : en
Publisher: Springer
Release Date : 2016-06-02

Solving Network Design Problems Via Decomposition Aggregation And Approximation written by Andreas Bärmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Mathematics categories.

Andreas Bärmann develops novel approaches for the solution of network design problems as they arise in various contexts of applied optimization. At the example of an optimal expansion of the German railway network until 2030, the author derives a tailor-made decomposition technique for multi-period network design problems. Next, he develops a general framework for the solution of network design problems via aggregation of the underlying graph structure. This approach is shown to save much computation time as compared to standard techniques. Finally, the author devises a modelling framework for the approximation of the robust counterpart under ellipsoidal uncertainty, an often-studied case in the literature. Each of these three approaches opens up a fascinating branch of research which promises a better theoretical understanding of the problem and an increasing range of solvable application settings at the same time.

Environmental Software Systems Infrastructures Services And Applications

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Author : Ralf Denzer
language : en
Publisher: Springer
Release Date : 2015-02-09

Environmental Software Systems Infrastructures Services And Applications written by Ralf Denzer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-09 with Computers categories.

This book constitutes the refereed proceedings of the 11th IFIP WG 5.11 International Symposium on Environmental Software Systems, ISESS 2015, held in Melbourne, Australia, in March 2015. The 62 revised full papers presented were carefully reviewed and selected from 104 submissions. The papers are organized in the following topical sections: information systems, information modeling and semantics; decision support tools and systems; modelling and simulation systems; architectures, infrastructures, platforms and services; requirements, software engineering and software tools; analytics and visualization; and high-performance computing and big data.

Multicriteria Optimization And Engineering

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Author : R.B. Statnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Multicriteria Optimization And Engineering written by R.B. Statnikov 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 2012-12-06 with Technology & Engineering categories.

method enables readers to: *efficiently design higher-quality, lower cost objects with less metal requirements, vibration and noise, and with lower dynamic loads and energy consumption *determine optimal solutions, regardless of the number of criteria involved, and to identify relationships among different criteria and between criteria and design variables *accurately account for discrepancies between theoretical and actual characteristics, using a special set of adequacy criteria *determine optimal design variables for complex finite element models In addition, the book helps readers: *enhance the potential of the PSI method with theoretical investigations and algorithms for approximating the feasible solutions set and Pareto optimal set *facilitate proficient problem-solving by incorporating recently obtained results from the theory of uniformly distributed sequences *evaluate design procedures by observing examples ranging from machine tools and agricultural equipment to automobiles and aviation This practical, in-depth treatment of multicriteria optimization and engineering is essential for engineers and designers working in research and development of manufacturing machines, mechanisms and structures. It is also an important text for students of applied mathematics, mechanical engineering, optimal control and operations research.

Computer Aided Design Of Control Systems

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Author : M. A. Cuenod
language : en
Publisher: Elsevier
Release Date : 2014-05-19

Computer Aided Design Of Control Systems written by M. A. Cuenod and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Computers categories.

Computer Aided Design of Control Systems focuses on the use of computers to analyze and design the control of various processes, as well as the development of program packages with different algorithms for digital computers. The selection first takes a look at the computer aided design of minimal order controllers, including design of interacting and noninteracting dynamic controllers of minimal order and basic algorithm. The book then discusses an accelerated Newton process to solve Riccati equation through matrix sign function; suboptimal direct digital control of a trickle-bed absorption column; and structural design of large systems employing a geometric approach. The text underscores the computer as an aid for the implementation of advanced control algorithms on physical processes and analysis of direct control algorithms and their parallel realization. Topics include hardware influences on the control, process influence, and interactive structure design of direct control systems. The book also takes a look at the optimal control of randomly sampled linear stochastic systems; computer aided design of suboptimal test signals for system identification; and computer aided design of multi-level systems with prescribed structure and control constraints. The selection is a dependable source of data for readers interested in the uses of computers.

Advances In Operations Research In The Oil And Gas Industry

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Author : Michèle Breton
language : en
Publisher: Editions TECHNIP
Release Date : 1991

Advances In Operations Research In The Oil And Gas Industry written by Michèle Breton and has been published by Editions TECHNIP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Business & Economics categories.

Software For Computer Control

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Author : M. Novak
language : en
Publisher: Elsevier
Release Date : 2014-05-19

Software For Computer Control written by M. Novak and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Technology & Engineering categories.

Software for Computer Control is a collection of papers and lectures presented at the Second IFAC/IFIP Symposium on Software for Computer Control, held in Prague, Czechoslovakia in June 1979. The symposium is organized with the hope of making vital contributions to the development of the computer sciences. The text focuses on the design and programming of process control systems used in various industrial processes and experiments. Topics covered include communication control in computer networks; program generators for process control applications; methods for the design of control software; presentations on software for microprocessors; real-time languages; algorithms for computer control; and applications of computer control in sciences. Computer scientists, systems analysts, programmers, and students of computer science will benefit from this book.