Ordering Structures In Vector Optimization And Applications In Medical Engineering

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Ordering Structures in Vector Optimization and Applications in Medical Engineering

Author : Gabriele Eichfelder
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (934 download)

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Book Synopsis Ordering Structures in Vector Optimization and Applications in Medical Engineering by : Gabriele Eichfelder

Download or read book Ordering Structures in Vector Optimization and Applications in Medical Engineering written by Gabriele Eichfelder and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This manuscript is on the theory and numerical procedures of vector optimization w.r.t. various ordering structures, on recent developments in this area and, most important, on their application to medical engineering. In vector optimization one considers optimization problems with a vector-valued objective map and thus one has to compare elements in a linear space. If the linear space is the finite dimensional space R^m this can be done componentwise. That corresponds to the notion of an Edgeworth-Pareto-optimal solution of a multiobjective optimization problem. Among the multitude of applications which can be modeled by such a multiobjective optimization problem, we present an application in intensity modulated radiation therapy and its solution by a numerical procedure. In case the linear space is arbitrary, maybe infinite dimensional, one may introduce a partial ordering which defines how elements are compared. Such problems arise for instance in magnetic resonance tomography where the number of Hermitian matrices which have to be considered for a control of the maximum local specific absorption rate can be reduced by applying procedures from vector optimization. In addition to a short introduction and the application problem, we present a numerical solution method for solving such vector optimization problems. A partial ordering can be represented by a convex cone which describes the set of directions in which one assumes that the current values are deteriorated. If one assumes that this set may vary dependently on the actually considered element in the linear space, one may replace the partial ordering by a variable ordering structure. This was for instance done in an application in medical image registration. We present a possibility of how to model such variable ordering structures mathematically and how optimality can be defined in such a case. We also give a numerical solution method for the case of a finite set of alternatives.

Variable Ordering Structures in Vector Optimization

Author : Gabriele Eichfelder
Publisher : Springer Science & Business Media
ISBN 13 : 3642542832
Total Pages : 330 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Variable Ordering Structures in Vector Optimization by : Gabriele Eichfelder

Download or read book Variable Ordering Structures in Vector Optimization written by Gabriele Eichfelder and published by Springer Science & Business Media. This book was released on 2014-04-04 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones, one attached to each element of the objective space. The book starts by presenting several applications that have recently sparked new interest in these optimization problems, and goes on to discuss fundamentals and important results on a wide range of topics. The theory developed includes various optimality notions, linear and nonlinear scalarization functionals, optimality conditions of Fermat and Lagrange type, existence and duality results. The book closes with a collection of numerical approaches for solving these problems in practice.

Mathematics Without Boundaries

Author : Panos M. Pardalos
Publisher : Springer
ISBN 13 : 1493911244
Total Pages : 648 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Mathematics Without Boundaries by : Panos M. Pardalos

Download or read book Mathematics Without Boundaries written by Panos M. Pardalos and published by Springer. This book was released on 2014-09-16 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.

Evolutionary Multi-Criterion Optimization

Author : Ricardo H.C. Takahashi
Publisher : Springer Science & Business Media
ISBN 13 : 3642198929
Total Pages : 634 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Evolutionary Multi-Criterion Optimization by : Ricardo H.C. Takahashi

Download or read book Evolutionary Multi-Criterion Optimization written by Ricardo H.C. Takahashi and published by Springer Science & Business Media. This book was released on 2011-03-14 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2011, held in Ouro Preto, Brazil, in April 2011. The 42 revised full papers presented were carefully reviewed and selected from 83 submissions. The papers deal with fundamental questions of EMO theory, such as the development of algorithmically efficient tools for the evaluation of solution-set quality , the theoretical questions related to solution archiving and others. They report on the continuing effort in the development of algorithms, either for dealing with particular classes of problems or for new forms of processing the problem information. Almost one third of the papers is related to EMO applications in a diversity of fields. Eleven papers are devoted to promote the interaction with the related field of Multi-Criterion Decision Making (MCDM).

Evolutionary Multi-Criterion Optimization

Author : Robin Purshouse
Publisher : Springer
ISBN 13 : 364237140X
Total Pages : 859 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Evolutionary Multi-Criterion Optimization by : Robin Purshouse

Download or read book Evolutionary Multi-Criterion Optimization written by Robin Purshouse and published by Springer. This book was released on 2013-03-12 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2013 held in Sheffield, UK, in March 2013. The 57 revised full papers presented were carefully reviewed and selected from 98 submissions. The papers are grouped in topical sections on plenary talks; new horizons; indicator-based methods; aspects of algorithm design; pareto-based methods; hybrid MCDA; decomposition-based methods; classical MCDA; exploratory problem analysis; product and process applications; aerospace and automotive applications; further real-world applications; and under-explored challenges.

Optimization by Vector Space Methods

Author : David G. Luenberger
Publisher : John Wiley & Sons
ISBN 13 : 9780471181170
Total Pages : 348 pages
Book Rating : 4.1/5 (811 download)

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Book Synopsis Optimization by Vector Space Methods by : David G. Luenberger

Download or read book Optimization by Vector Space Methods written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1997-01-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.

Artificial Intelligence in Healthcare

Author : Adam Bohr
Publisher : Academic Press
ISBN 13 : 0128184396
Total Pages : 385 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Artificial Intelligence in Healthcare by : Adam Bohr

Download or read book Artificial Intelligence in Healthcare written by Adam Bohr and published by Academic Press. This book was released on 2020-06-21 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial Intelligence (AI) in Healthcare is more than a comprehensive introduction to artificial intelligence as a tool in the generation and analysis of healthcare data. The book is split into two sections where the first section describes the current healthcare challenges and the rise of AI in this arena. The ten following chapters are written by specialists in each area, covering the whole healthcare ecosystem. First, the AI applications in drug design and drug development are presented followed by its applications in the field of cancer diagnostics, treatment and medical imaging. Subsequently, the application of AI in medical devices and surgery are covered as well as remote patient monitoring. Finally, the book dives into the topics of security, privacy, information sharing, health insurances and legal aspects of AI in healthcare. Highlights different data techniques in healthcare data analysis, including machine learning and data mining Illustrates different applications and challenges across the design, implementation and management of intelligent systems and healthcare data networks Includes applications and case studies across all areas of AI in healthcare data

Recent Developments in Vector Optimization

Author : Qamrul Hasan Ansari
Publisher : Springer Science & Business Media
ISBN 13 : 3642211143
Total Pages : 568 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Recent Developments in Vector Optimization by : Qamrul Hasan Ansari

Download or read book Recent Developments in Vector Optimization written by Qamrul Hasan Ansari and published by Springer Science & Business Media. This book was released on 2011-09-21 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the conflict between various objectives and goals. In these problems, one has to find the minimum(or maximum) for several objective functions. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems. This volume deals with several different topics / aspects of vector optimization theory ranging from the very beginning to the most recent one. It contains fourteen chapters written by different experts in the field of vector optimization.

Handbook of Healthcare Operations Management

Author : Brian T. Denton
Publisher : Springer Science & Business Media
ISBN 13 : 1461458854
Total Pages : 542 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Handbook of Healthcare Operations Management by : Brian T. Denton

Download or read book Handbook of Healthcare Operations Management written by Brian T. Denton and published by Springer Science & Business Media. This book was released on 2013-02-28 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: Collectively, the chapters in this book address application domains including inpatient and outpatient services, public health networks, supply chain management, and resource constrained settings in developing countries. Many of the chapters provide specific examples or case studies illustrating the applications of operations research methods across the globe, including Africa, Australia, Belgium, Canada, the United Kingdom, and the United States. Chapters 1-4 review operations research methods that are most commonly applied to health care operations management including: queuing, simulation, and mathematical programming. Chapters 5-7 address challenges related to inpatient services in hospitals such as surgery, intensive care units, and hospital wards. Chapters 8-10 cover outpatient services, the fastest growing part of many health systems, and describe operations research models for primary and specialty care services, and how to plan for patient no-shows. Chapters 12 – 16 cover topics related to the broader integration of health services in the context of public health, including optimizing the location of emergency vehicles, planning for mass vaccination events, and the coordination among different parts of a health system. Chapters 17-18 address supply chain management within hospitals, with a focus on pharmaceutical supply management, and the challenges of managing inventory for nursing units. Finally, Chapters 19-20 provide examples of important and emerging research in the realm of humanitarian logistics.

Simulation and Optimization in Process Engineering

Author : Michael Bortz
Publisher : Elsevier
ISBN 13 : 0323850448
Total Pages : 428 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Simulation and Optimization in Process Engineering by : Michael Bortz

Download or read book Simulation and Optimization in Process Engineering written by Michael Bortz and published by Elsevier. This book was released on 2022-04-16 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation and Optimization in Process Engineering: The Benefit of Mathematical Methods in Applications of the Process Industry brings together examples where the successful transfer of progress made in mathematical simulation and optimization has led to innovations in an industrial context that created substantial benefit. Containing introductory accounts on scientific progress in the most relevant topics of process engineering (substance properties, simulation, optimization, optimal control and real time optimization), the examples included illustrate how such scientific progress has been transferred to innovations that delivered a measurable impact, covering details of the methods used, and more. With each chapter bringing together expertise from academia and industry, this book is the first of its kind, providing demonstratable insights. Recent mathematical methods are transformed into industrially relevant innovations. Covers recent progress in mathematical simulation and optimization in a process engineering context with chapters written by experts from both academia and industry Provides insight into challenges in industry aiming for a digitized world.

Introduction to Optimum Design

Author : Jasbir Singh Arora
Publisher : Elsevier
ISBN 13 : 0080470254
Total Pages : 751 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Introduction to Optimum Design by : Jasbir Singh Arora

Download or read book Introduction to Optimum Design written by Jasbir Singh Arora and published by Elsevier. This book was released on 2004-06-02 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is a mathematical tool developed in the early 1960's used to find the most efficient and feasible solutions to an engineering problem. It can be used to find ideal shapes and physical configurations, ideal structural designs, maximum energy efficiency, and many other desired goals of engineering. This book is intended for use in a first course on engineering design and optimization. Material for the text has evolved over a period of several years and is based on classroom presentations for an undergraduate core course on the principles of design. Virtually any problem for which certain parameters need to be determined to satisfy constraints can be formulated as a design optimization problem. The concepts and methods described in the text are quite general and applicable to all such formulations. Inasmuch, the range of application of the optimum design methodology is almost limitless, constrained only by the imagination and ingenuity of the user. The book describes the basic concepts and techniques with only a few simple applications. Once they are clearly understood, they can be applied to many other advanced applications that are discussed in the text. Allows engineers involved in the design process to adapt optimum design concepts in their work using the material in the text Basic concepts of optimality conditions and numerical methods are described with simple examples, making the material high teachable and learnable Classroom-tested for many years to attain optimum pedagogical effectiveness

Principles of Biomedical Engineering, Second Edition

Author : Sundararajan Madihally
Publisher : Artech House
ISBN 13 : 1630817120
Total Pages : 510 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Principles of Biomedical Engineering, Second Edition by : Sundararajan Madihally

Download or read book Principles of Biomedical Engineering, Second Edition written by Sundararajan Madihally and published by Artech House. This book was released on 2019-12-31 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition of an Artech House classic introduces readers to the importance of engineering in medicine. Bioelectrical phenomena, principles of mass and momentum transport to the analysis of physiological systems, the importance of mechanical analysis in biological tissues/ organs and biomaterial selection are discussed in detail. Readers learn about the concepts of using living cells in various therapeutics and diagnostics, compartmental modeling, and biomedical instrumentation. The book explores fluid mechanics, strength of materials, statics and dynamics, basic thermodynamics, electrical circuits, and material science. A significant number of numerical problems have been generated using data from recent literature and are given as examples as well as exercise problems. These problems provide an opportunity for comprehensive understanding of the basic concepts, cutting edge technologies and emerging challenges. Describing the role of engineering in medicine today, this comprehensive volume covers a wide range of the most important topics in this burgeoning field. Moreover, you find a thorough treatment of the concept of using living cells in various therapeutics and diagnostics. Structured as a complete text for students with some engineering background, the book also makes a valuable reference for professionals new to the bioengineering field. This authoritative textbook features numerous exercises and problems in each chapter to help ensure a solid understanding of the material.

Biomechanics

Author : Cees Oomens
Publisher : Cambridge University Press
ISBN 13 : 1316730425
Total Pages : 422 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Biomechanics by : Cees Oomens

Download or read book Biomechanics written by Cees Oomens and published by Cambridge University Press. This book was released on 2018-02-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly revised and updated for the second edition, this comprehensive textbook integrates basic and advanced concepts of mechanics with numerical methods and biomedical applications. Coverage is expanded to include a complete introduction to vector and tensor calculus, and new or fully updated chapters on biological materials and continuum mechanics, motion, deformation and rotation, and constitutive modelling of solids and fluids. Topics such as kinematics, equilibrium, and stresses and strains are also included, as well as the mechanical behaviour of fibres and the analysis of one-dimensional continuous elastic media. Numerical solution procedures based on the Finite Element Method are presented, with accompanying MATLAB-based software and dozens of new biomedical engineering examples and exercises allowing readers to practise and improve their skills. Solutions for instructors are also available online. This is the definitive guide for both undergraduate and graduate students taking courses in biomechanics.

Bioinspired Structures and Design

Author : Wole Soboyejo
Publisher : Cambridge University Press
ISBN 13 : 1108963447
Total Pages : 374 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Bioinspired Structures and Design by : Wole Soboyejo

Download or read book Bioinspired Structures and Design written by Wole Soboyejo and published by Cambridge University Press. This book was released on 2020-09-17 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master simple to advanced biomaterials and structures with this essential text. Featuring topics ranging from bionanoengineered materials to bio-inspired structures for spacecraft and bio-inspired robots, and covering issues such as motility, sensing, control and morphology, this highly illustrated text walks the reader through key scientific and practical engineering principles, discussing properties, applications and design. Presenting case studies for the design of materials and structures at the nano, micro, meso and macro-scales, and written by some of the leading experts on the subject, this is the ideal introduction to this emerging field for students in engineering and science as well as researchers.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Vector Variational Inequalities and Vector Optimization

Author : Qamrul Hasan Ansari
Publisher : Springer
ISBN 13 : 3319630490
Total Pages : 517 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Vector Variational Inequalities and Vector Optimization by : Qamrul Hasan Ansari

Download or read book Vector Variational Inequalities and Vector Optimization written by Qamrul Hasan Ansari and published by Springer. This book was released on 2017-10-31 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.

Set-valued Optimization

Author : Akhtar A. Khan
Publisher : Springer
ISBN 13 : 3642542654
Total Pages : 781 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Set-valued Optimization by : Akhtar A. Khan

Download or read book Set-valued Optimization written by Akhtar A. Khan and published by Springer. This book was released on 2014-10-20 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality and applications in economics among other things.