Duality Theory In Multiple Objective Convex Programming
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Duality Theory In Multiple Objective Convex Programming
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Author : Wenxian Chen
language : en
Publisher:
Release Date : 1980
Duality Theory In Multiple Objective Convex Programming written by Wenxian Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Advances In Multiple Objective And Goal Programming
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Author : Rafael Caballero
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In Multiple Objective And Goal Programming written by Rafael Caballero 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 Business & Economics categories.
Within the field of multiple criteria decision making, this volume covers the latest advances in multiple objective and goal programming as presented at the 2nd International Conference on Multi-Objective Programming and Goal Programming, Torremolinos, Spain, May 16 - 18, 1996. The book is an undispensable source of the latest research results, presented by the leading experts of the field.
Theory Of Multiobjective Optimization
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Author : Yoshikazu Sawaragi
language : en
Publisher: Elsevier
Release Date : 1985-09-19
Theory Of Multiobjective Optimization written by Yoshikazu Sawaragi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-09-19 with Mathematics categories.
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; andmethods 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 particularbranches, 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
Convex Optimization
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Author : Stephen P. Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-08
Convex Optimization written by Stephen P. Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Business & Economics categories.
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Mathematics Of Multi Objective Optimization
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Author : P. Serafini
language : en
Publisher: Springer
Release Date : 2014-05-04
Mathematics Of Multi Objective Optimization written by P. Serafini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Mathematics categories.
Decision Making With Multiple Objectives
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Author : Yacov Y. Haimes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Decision Making With Multiple Objectives written by Yacov Y. Haimes 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 Business & Economics categories.
The Sixth International Multiple-Criteria Decision Making (MCDM) Conference is one of a biennial series that serve as a forum for exchange of the latest information and new developments in this rapidly growing field. Participants are carefully chosen from among scholars and practitioners so that widely ranging perspectives and disciplines are represented; this insures the dissemination of valuable new know ledge to those scholars, policy-makers and industrial analysts who will best utilize and share it, both in developed and in third-world countries. The Sixth Internaitona1 MCDM Conference was held from June 4 to 8, 1984, at Case Western Reserve University, Cleveland, Ohio. The Conference program reflects the evolution of the field from infancy through adolescence to maturity, as marked by the progression from single-objective modeling and optimization to multiple-objective deci sion making. Because the theoreticians, practitioners and students who attend these MCDM conferences necessarily have different needs and expectations, the program now offers fewer monologues and more panels, overview papers and tutorial sessions, focusing on case studies and other practical experiences.
Multiobjective Linear Programming
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Author : Dinh The Luc
language : en
Publisher: Springer
Release Date : 2015-07-31
Multiobjective Linear Programming written by Dinh The Luc and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-31 with Business & Economics categories.
This book introduces the reader to the field of multiobjective optimization through problems with simple structures, namely those in which the objective function and constraints are linear. Fundamental notions as well as state-of-the-art advances are presented in a comprehensive way and illustrated with the help of numerous examples. Three of the most popular methods for solving multiobjective linear problems are explained, and exercises are provided at the end of each chapter, helping students to grasp and apply key concepts and methods to more complex problems. The book was motivated by the fact that the majority of the practical problems we encounter in management science, engineering or operations research involve conflicting criteria and therefore it is more convenient to formulate them as multicriteria optimization models, the solution concepts and methods of which cannot be treated using traditional mathematical programming approaches.
Duality In Vector Optimization
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Author : Radu Ioan Bot
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-12
Duality In Vector Optimization written by Radu Ioan Bot 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 2009-08-12 with Mathematics categories.
This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.
Stochastic Versus Fuzzy Approaches To Multiobjective Mathematical Programming Under Uncertainty
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Author : Shi-Yu Huang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Versus Fuzzy Approaches To Multiobjective Mathematical Programming Under Uncertainty written by Shi-Yu Huang 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 Business & Economics categories.
Operations Research is a field whose major contribution has been to propose a rigorous fonnulation of often ill-defmed problems pertaining to the organization or the design of large scale systems, such as resource allocation problems, scheduling and the like. While this effort did help a lot in understanding the nature of these problems, the mathematical models have proved only partially satisfactory due to the difficulty in gathering precise data, and in formulating objective functions that reflect the multi-faceted notion of optimal solution according to human experts. In this respect linear programming is a typical example of impressive achievement of Operations Research, that in its detenninistic fonn is not always adapted to real world decision-making : everything must be expressed in tenns of linear constraints ; yet the coefficients that appear in these constraints may not be so well-defined, either because their value depends upon other parameters (not accounted for in the model) or because they cannot be precisely assessed, and only qualitative estimates of these coefficients are available. Similarly the best solution to a linear programming problem may be more a matter of compromise between various criteria rather than just minimizing or maximizing a linear objective function. Lastly the constraints, expressed by equalities or inequalities between linear expressions, are often softer in reality that what their mathematical expression might let us believe, and infeasibility as detected by the linear programming techniques can often been coped with by making trade-offs with the real world.
Lectures On Modern Convex Optimization
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Author : Aharon Ben-Tal
language : fr
Publisher: SIAM
Release Date : 2001-01-01
Lectures On Modern Convex Optimization written by Aharon Ben-Tal and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Technology & Engineering categories.
Here is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming. The authors present the basic theory underlying these problems as well as their numerous applications in engineering, including synthesis of filters, Lyapunov stability analysis, and structural design. The authors also discuss the complexity issues and provide an overview of the basic theory of state-of-the-art polynomial time interior point methods for linear, conic quadratic, and semidefinite programming. The book's focus on well-structured convex problems in conic form allows for unified theoretical and algorithmical treatment of a wide spectrum of important optimization problems arising in applications.