Multicriteria Optimization In Engineering And In The Sciences

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Multicriteria Optimization in Engineering and in the Sciences

Author : Wolfram Stadler
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 42,5 Mb
Release : 2013-12-14
Category : Mathematics
ISBN : 9781489937346

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Multicriteria Optimization in Engineering and in the Sciences by Wolfram Stadler Pdf

We are rarely asked to. make decisions based on only one criterion; most often, decisions are based on several usually confticting, criteria. In nature, if the design of a system evolves to some final, optimal state, then it must include a balance for the interaction of the system with its surroundings certainly a design based on a variety of criteria. Furthermore, the diversity of nature's designs suggests an infinity of such optimal states. In another sense, decisions simultaneously optimize a finite number of criteria, while there is usually an infinity of optimal solutions. Multicriteria optimization provides the mathematical framework to accommodate these demands. Multicriteria optimization has its roots in mathematical economics, in particular, in consumer economics as considered by Edgeworth and Pareto. The critical question in an exchange economy concerns the "equilibrium point" at which each of N consumers has achieved the best possible deal for hirnself or herself. Ultimately, this is a collective decision in which any further gain by one consumer can occur only at the expense of at least one other consumer. Such an equilibrium concept was first introduced by Edgeworth in 1881 in his book on mathematical psychics. Today, such an optimum is variously called "Pareto optimum" (after the Italian-French welfare economist who continued and expanded Edgeworth's work), "effi. cient," "nondominated," and so on.

Multicriteria Optimization in Engineering and in the Sciences

Author : Wolfram Stadler
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 55,6 Mb
Release : 1988-03-31
Category : Mathematics
ISBN : 0306427435

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Multicriteria Optimization in Engineering and in the Sciences by Wolfram Stadler Pdf

We are rarely asked to. make decisions based on only one criterion; most often, decisions are based on several usually confticting, criteria. In nature, if the design of a system evolves to some final, optimal state, then it must include a balance for the interaction of the system with its surroundings certainly a design based on a variety of criteria. Furthermore, the diversity of nature's designs suggests an infinity of such optimal states. In another sense, decisions simultaneously optimize a finite number of criteria, while there is usually an infinity of optimal solutions. Multicriteria optimization provides the mathematical framework to accommodate these demands. Multicriteria optimization has its roots in mathematical economics, in particular, in consumer economics as considered by Edgeworth and Pareto. The critical question in an exchange economy concerns the "equilibrium point" at which each of N consumers has achieved the best possible deal for hirnself or herself. Ultimately, this is a collective decision in which any further gain by one consumer can occur only at the expense of at least one other consumer. Such an equilibrium concept was first introduced by Edgeworth in 1881 in his book on mathematical psychics. Today, such an optimum is variously called "Pareto optimum" (after the Italian-French welfare economist who continued and expanded Edgeworth's work), "effi. cient," "nondominated," and so on.

Multicriteria Optimization and Engineering

Author : R.B. Statnikov,J.B. Matusov
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461520894

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Multicriteria Optimization and Engineering by R.B. Statnikov,J.B. Matusov Pdf

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.

Multicriteria Optimization

Author : Matthias Ehrgott
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 54,7 Mb
Release : 2006-01-16
Category : Business & Economics
ISBN : 9783540276593

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Multicriteria Optimization by Matthias Ehrgott Pdf

- Collection of results of multicriteria optimization, including nonlinear, linear and combinatorial optimization problems - Includes numerous illustrations, examples and problems

Multicriteria Design

Author : R.B. Statnikov
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 43,7 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9789401723633

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Multicriteria Design by R.B. Statnikov Pdf

This book is devoted to the PSI method. Its appearance was a reaction to the unsatisfactory situation in applications of optimization methods in engineering. After comprehensive testing of the PSI method in various fields of machine engineering it has become obvious that this method substantially surpasses all other available techniques in many respects. It has now become known that the PSI method is successfully used not only in machine design, at which it was initially aimed, but also in polymer chemistry, pharmacy, nuclear energy, biology, geophysics, and many other fields of human activity. To all appearances this method has become so popular for its potential of taking into account the specific features of applied optimization better than other methods, being, at the same time, comparatively simple and friendly, and because, unlike traditional optimization methods which are intended only for searching for optimal solutions, the PSI method is also aimed at correctly formulating engineering optimization problems. One well-known aircraft designer once said, "To solve an optimization problem in engineering means, first of all, to be able to state this problem properly". In this sense the PSI method has no competitors. Although this method has been presented in Russia in numerous papers and books, Western readers have had the opportunity to familiarize themselves with this method only recently (Ozernoy 1988; Lieberman 1991; Stadler and Dauer 1992; Dyer, Fishburn, Steuer, Wallenius, and Zionts 1992; Steuer and Sun 1995, etc. ).

Multiobjective Optimization

Author : Yann Collette,Patrick Siarry
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 52,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662088838

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Multiobjective Optimization by Yann Collette,Patrick Siarry Pdf

This text offers many multiobjective optimization methods accompanied by analytical examples, and it treats problems not only in engineering but also operations research and management. It explains how to choose the best method to solve a problem and uses three primary application examples: optimization of the numerical simulation of an industrial process; sizing of a telecommunication network; and decision-aid tools for the sorting of bids.

Theory of Multiobjective Optimization

Author : Yoshikazu Sawaragi,HIROTAKA NAKAYAMA,TETSUZO TANINO
Publisher : Elsevier
Page : 322 pages
File Size : 48,6 Mb
Release : 1985-09-19
Category : Mathematics
ISBN : 0080958664

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Theory of Multiobjective Optimization by Yoshikazu Sawaragi,HIROTAKA NAKAYAMA,TETSUZO TANINO Pdf

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Multicriteria Design Optimization

Author : Hans Eschenauer,Juhani Koski,Andrzej Osyczka
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642486975

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Multicriteria Design Optimization by Hans Eschenauer,Juhani Koski,Andrzej Osyczka Pdf

Interest in the fascinating field of multicriteria optimization and its application to design processes has grown very quickly in recent years. Researchers and practising engineers will find this book an comprehensive presentation of this subject. After an introduction to multicriteria optimization and the advantages of using multicriteria techniques, the first part of the book presents methods and computer procedures for solving multicriteria optimum design problems including interactive methods and knowledge-based systems. The second part presents an extensive range of applications of these methods to design processes in the fol- lowing fields: mechanisms and dynamic systems, aircraft and space technology, machine tool design, metal forming and cast metal technology, civil and architectural engineering, and structures made of advanced materials.

Nonlinear Multiobjective Optimization

Author : Kaisa Miettinen
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461555636

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Nonlinear Multiobjective Optimization by Kaisa Miettinen Pdf

Problems with multiple objectives and criteria are generally known as multiple criteria optimization or multiple criteria decision-making (MCDM) problems. So far, these types of problems have typically been modelled and solved by means of linear programming. However, many real-life phenomena are of a nonlinear nature, which is why we need tools for nonlinear programming capable of handling several conflicting or incommensurable objectives. In this case, methods of traditional single objective optimization and linear programming are not enough; we need new ways of thinking, new concepts, and new methods - nonlinear multiobjective optimization. Nonlinear Multiobjective Optimization provides an extensive, up-to-date, self-contained and consistent survey, review of the literature and of the state of the art on nonlinear (deterministic) multiobjective optimization, its methods, its theory and its background. The amount of literature on multiobjective optimization is immense. The treatment in this book is based on approximately 1500 publications in English printed mainly after the year 1980. Problems related to real-life applications often contain irregularities and nonsmoothnesses. The treatment of nondifferentiable multiobjective optimization in the literature is rather rare. For this reason, this book contains material about the possibilities, background, theory and methods of nondifferentiable multiobjective optimization as well. This book is intended for both researchers and students in the areas of (applied) mathematics, engineering, economics, operations research and management science; it is meant for both professionals and practitioners in many different fields of application. The intention has been to provide a consistent summary that may help in selecting an appropriate method for the problem to be solved. It is hoped the extensive bibliography will be of value to researchers.

Multicriterion Optimization in Engineering with FORTRAN Programs

Author : Andrzej Osyczka
Publisher : Unknown
Page : 200 pages
File Size : 54,9 Mb
Release : 1984
Category : Computers
ISBN : UOM:39015006423217

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Multicriterion Optimization in Engineering with FORTRAN Programs by Andrzej Osyczka Pdf

Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Multicriteria Analysis in Engineering

Author : R.B. Statnikov,J.B. Matusov
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 47,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401599689

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Multicriteria Analysis in Engineering by R.B. Statnikov,J.B. Matusov Pdf

Optimization methods have been considered in many articles, monographs, and handbooks. However, experts continue to experience difficulties in correctly stating optimization problems in engineering. These troubles typically emerge when trying to define the set of feasible solutions, i.e. the constraints imposed on the design variables, functional relationships, and criteria. The Parameter Space Investigation (PSI) method was developed specifically for the correct statement and solution of engineering optimization problems. It is implemented in the MOVI 1.0 software package, a tutorial version of which is included in this book. The PSI method and MOVI 1.0 software package have a wide range of applications. The PSI method can be successfully used for the statement and solution of the following multicriteria problems: design, identification, design with control, the optional development of prototypes, finite element models, and the decomposition and aggregation of large-scale systems. Audience: The PSI method will be of interest to researchers, graduate students, and engineers who work in engineering, mathematical modelling and industrial mathematics, and in computer and information science.

Engineering Optimization

Author : S. S. Rao
Publisher : New Age International
Page : 936 pages
File Size : 54,8 Mb
Release : 2000
Category : Engineering
ISBN : 8122411495

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Engineering Optimization by S. S. Rao Pdf

A Rigorous Mathematical Approach To Identifying A Set Of Design Alternatives And Selecting The Best Candidate From Within That Set, Engineering Optimization Was Developed As A Means Of Helping Engineers To Design Systems That Are Both More Efficient And Less Expensive And To Develop New Ways Of Improving The Performance Of Existing Systems.Thanks To The Breathtaking Growth In Computer Technology That Has Occurred Over The Past Decade, Optimization Techniques Can Now Be Used To Find Creative Solutions To Larger, More Complex Problems Than Ever Before. As A Consequence, Optimization Is Now Viewed As An Indispensable Tool Of The Trade For Engineers Working In Many Different Industries, Especially The Aerospace, Automotive, Chemical, Electrical, And Manufacturing Industries.In Engineering Optimization, Professor Singiresu S. Rao Provides An Application-Oriented Presentation Of The Full Array Of Classical And Newly Developed Optimization Techniques Now Being Used By Engineers In A Wide Range Of Industries. Essential Proofs And Explanations Of The Various Techniques Are Given In A Straightforward, User-Friendly Manner, And Each Method Is Copiously Illustrated With Real-World Examples That Demonstrate How To Maximize Desired Benefits While Minimizing Negative Aspects Of Project Design.Comprehensive, Authoritative, Up-To-Date, Engineering Optimization Provides In-Depth Coverage Of Linear And Nonlinear Programming, Dynamic Programming, Integer Programming, And Stochastic Programming Techniques As Well As Several Breakthrough Methods, Including Genetic Algorithms, Simulated Annealing, And Neural Network-Based And Fuzzy Optimization Techniques.Designed To Function Equally Well As Either A Professional Reference Or A Graduate-Level Text, Engineering Optimization Features Many Solved Problems Taken From Several Engineering Fields, As Well As Review Questions, Important Figures, And Helpful References.Engineering Optimization Is A Valuable Working Resource For Engineers Employed In Practically All Technological Industries. It Is Also A Superior Didactic Tool For Graduate Students Of Mechanical, Civil, Electrical, Chemical And Aerospace Engineering.

Optimization in Engineering Sciences

Author : Dan Stefanoiu,Pierre Borne,Dumitru Popescu,Florin Gheorghe Filip,Abdelkader El Kamel
Publisher : John Wiley & Sons
Page : 446 pages
File Size : 49,6 Mb
Release : 2014-10-30
Category : Technology & Engineering
ISBN : 9781118648780

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Optimization in Engineering Sciences by Dan Stefanoiu,Pierre Borne,Dumitru Popescu,Florin Gheorghe Filip,Abdelkader El Kamel Pdf

The purpose of this book is to present the main metaheuristicsand approximate and stochastic methods for optimization of complexsystems in Engineering Sciences. It has been written within theframework of the European Union project ERRIC (Empowering RomanianResearch on Intelligent Information Technologies), which is fundedby the EU’s FP7 Research Potential program and has beendeveloped in co-operation between French and Romanian teachingresearchers. Through the principles of various proposed algorithms(with additional references) this book allows the reader to explorevarious methods of implementation such as metaheuristics, localsearch and populationbased methods. It examines multi-objective andstochastic optimization, as well as methods and tools forcomputer-aided decision-making and simulation fordecision-making.

Design Optimization

Author : John Gero
Publisher : Elsevier
Page : 313 pages
File Size : 41,6 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780323156523

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Design Optimization by John Gero Pdf

Design Optimization deals with the application of the ideas of optimization to design, taking as its central theme the notion that design can be treated as a goal-seeking, decision-making activity. Emphasis is on design optimization rather than on optimization techniques. This book consists of nine chapters, each focusing on a particular class of design optimization and demonstrating how design optimization problems are formulated and solved. The applications range from architecture and structural engineering to mechanical engineering, chemical engineering, building design and layout, and siting policy. The first five chapters are all concerned with design problems where it is convenient to express the goals in a single objective or criterion to be optimized. In particular, optimal space planning and shape optimization of structures are discussed, along with approximation concepts for optimum structural design; application of nonlinear programming to design; and generalized Steiner network problems in engineering design. The last four chapters focus on multicriteria programming; multicriteria optimization for engineering and architectural design; and a system for integrated optimal design. This monograph will be of interest to designers and others concerned with the use of optimization concepts and tools in design optimization.

Multicriteria Optimization

Author : Nodari Vakhania,Frank Werner
Publisher : BoD – Books on Demand
Page : 108 pages
File Size : 52,8 Mb
Release : 2020-11-26
Category : Mathematics
ISBN : 9781789847185

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Multicriteria Optimization by Nodari Vakhania,Frank Werner Pdf

Multi-criteria optimization problems naturally arise in practice when there is no single criterion for measuring the quality of a feasible solution. Since different criteria are contradictory, it is difficult and often impossible to find a single feasible solution that is good for all the criteria. Hence, some compromise is needed. As such, this book examines the commonly accepted compromise of the traditional Pareto-optimality approach. It also proposes one new alternative approach for generating feasible solutions to multi-criteria optimization problems. Finally, the book presents two chapters on the existing solution methods for two real-life, multi-criteria optimization problems.