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Duality in Vector Optimization, Radu Ioan Bot; Sorin-Mihai Grad; Gert Wanka


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Автор: Radu Ioan Bot; Sorin-Mihai Grad; Gert Wanka
Название:  Duality in Vector Optimization
ISBN: 9783642269363
Издательство: Springer
Классификация:

ISBN-10: 3642269362
Обложка/Формат: Paperback
Страницы: 400
Вес: 0.58 кг.
Дата издания: 14.03.2012
Серия: Vector Optimization
Язык: English
Размер: 234 x 156 x 22
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.

Vector Optimization and Monotone Operators via Convex Duality

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319361902 ISBN-13(EAN): 9783319361901
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.

Theory of Vector Optimization

Автор: Dinh The Luc
Название: Theory of Vector Optimization
ISBN: 3540505415 ISBN-13(EAN): 9783540505419
Издательство: Springer
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Цена: 102480.00 T
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Описание: Vector optimization has two main sources coming from economic equilibrium and welfare theories of Edgeworth (1881) and Pareto (1906) and from mathemat- ical backgrounds of ordered spaces of Cantor (1897) and Hausdorff (1906).

Combinatorial Optimization (algorithms and Combinatorics 21) 5th ed.

Автор: Korte, Bernhard, Vygen, Jens
Название: Combinatorial Optimization (algorithms and Combinatorics 21) 5th ed.
ISBN: 3642244874 ISBN-13(EAN): 9783642244872
Издательство: Springer
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Цена: 60510.00 T
Наличие на складе: Невозможна поставка.
Описание: This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references. This fifth edition has again been updated, revised, and significantly extended, with more than 60 new exercises and new material on various topics, including Cayley's formula, blocking flows, faster b-matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest cut. Thus, this book represents the state of the art of combinatorial optimization.

Robustness Analysis in Decision Aiding, Optimization, and Analytics

Автор: Doumpos
Название: Robustness Analysis in Decision Aiding, Optimization, and Analytics
ISBN: 3319331191 ISBN-13(EAN): 9783319331195
Издательство: Springer
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Цена: 130430.00 T
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Описание:

This book provides a broad coverage of the recent advances in robustness analysis in decision aiding, optimization, and analytics. It offers a comprehensive illustration of the challenges that robustness raises in different operations research and management science (OR/MS) contexts and the methodologies proposed from multiple perspectives. Aside from covering recent methodological developments, this volume also features applications of robust techniques in engineering and management, thus illustrating the robustness issues raised in real-world problems and their resolution within advances in OR/MS methodologies.
Robustness analysis seeks to address issues by promoting solutions, which are acceptable under a wide set of hypotheses, assumptions and estimates. In OR/MS, robustness has been mostly viewed in the context of optimization under uncertainty. Several scholars, however, have emphasized the multiple facets of robustness analysis in a broader OR/MS perspective that goes beyond the traditional framework, seeking to cover the decision support nature of OR/MS methodologies as well. As new challenges emerge in a “big-data'” era, where the information volume, speed of flow, and complexity increase rapidly, and analytics play a fundamental role for strategic and operational decision-making at a global level, robustness issues such as the ones covered in this book become more relevant than ever for providing sound decision support through more powerful analytic tools.

Multiple Criteria Decision Making by Multiobjective Optimization

Автор: Kaliszewski
Название: Multiple Criteria Decision Making by Multiobjective Optimization
ISBN: 3319327550 ISBN-13(EAN): 9783319327556
Издательство: Springer
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Цена: 51230.00 T
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Описание: Thistextbook approaches optimization from a multi-aspect, multi-criteria perspective.By using a Multiple Criteria Decision Making (MCDM) approach, it avoids thelimits and oversimplifications that can come with optimization models with onecriterion. The book is presented in a concise form, addressing how to solve decisionproblems in sequences of intelligence, modelling, choice and review phases,often iterated, to identify the most preferred decision variant. The approachtaken is human-centric, with the user taking the final decision is a sole andsovereign actor in the decision making process. To ensure generality, noassumption about the Decision Maker preferences or behavior is made. The presentationof these concepts is illustrated by numerous examples, figures, and problems tobe solved with the help of downloadable spreadsheets. This electroniccompanion contains models of problems to be solved built in Excel spreadsheetfiles.Optimizationmodels are too often oversimplifications of decision problems met in practice.For instance, modeling company performance by an optimization model in whichthe criterion function is short-term profit to be maximized, does not fullyreflect the essence of business management. The company’s managing staff isaccountable not only for operational decisions, but also for actions whichshall result in the company ability to generate a decent profit in the future.This calls for management decisions and actions which ensure short-termprofitability, but also maintaining long-term relations with clients,introducing innovative products, financing long-term investments, etc. Each ofthose additional, though indispensable actions and their effects can be modeledseparately, case by case, by an optimization model with a criterion functionadequately selected. However, in each case the same set of constraintsrepresents the range of company admissible actions. The aim and the scope ofthis textbook is to present methodologies and methods enabling modeling of suchactions jointly.

Vector Optimization and Monotone Operators via Convex Duality

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319088998 ISBN-13(EAN): 9783319088990
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.

Duality in Stochastic Linear and Dynamic Programming

Автор: Willem K. Klein Haneveld
Название: Duality in Stochastic Linear and Dynamic Programming
ISBN: 3540167935 ISBN-13(EAN): 9783540167938
Издательство: Springer
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Цена: 81050.00 T
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Recent Advances and Historical Development of Vector Optimization

Автор: Johannes Jahn; Werner Krabs
Название: Recent Advances and Historical Development of Vector Optimization
ISBN: 3540182152 ISBN-13(EAN): 9783540182153
Издательство: Springer
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Цена: 121110.00 T
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Описание: In vector optimization one investigates optimization problems in an abstract setting which have a not necessarily real-valued objective function. This meeting was an interdisciplinary forum devoted to new results in the theory, to applications as well as to the solution of vector optimization problems which are relevant in practice.

Variable Ordering Structures in Vector Optimization

Автор: Gabriele Eichfelder
Название: Variable Ordering Structures in Vector Optimization
ISBN: 3662525518 ISBN-13(EAN): 9783662525517
Издательство: Springer
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Цена: 88500.00 T
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Описание: 1 Variable ordering structures.- 2 Optimality concepts and their characterization.- 3 Properties of cone-valued maps.- 4 Linear scalarizations.- 5 Nonlinear scalarizations.- 6 Scalarization for variable orderings given by Bishop-Phelps cones.- 7 Optimality conditions.- 8 Duality results.- 9 Numerical methods.- 10 Outlook and further application areas.

Recent Developments in Vector Optimization

Автор: Qamrul Hasan Ansari; Jen-Chih Yao
Название: Recent Developments in Vector Optimization
ISBN: 3642271065 ISBN-13(EAN): 9783642271069
Издательство: Springer
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Цена: 93160.00 T
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Описание: Taking hold of a range of topics in vector optimization, from baseline issues to today`s leading-edge research, this volume`s fourteen chapters have been contributed by recognized experts in their respective sub-fields of multi-criteria optimization.

Nonsmooth Vector Functions and Continuous Optimization

Автор: V. Jeyakumar; Dinh The Luc
Название: Nonsmooth Vector Functions and Continuous Optimization
ISBN: 1441944729 ISBN-13(EAN): 9781441944726
Издательство: Springer
Рейтинг:
Цена: 121110.00 T
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Описание: Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems, as well as variational inequalities in finite dimensions.

V-Invex Functions and Vector Optimization

Автор: Shashi K. Mishra; Shouyang Wang; Kin Keung Lai
Название: V-Invex Functions and Vector Optimization
ISBN: 1441945288 ISBN-13(EAN): 9781441945280
Издательство: Springer
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Цена: 107130.00 T
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Описание: This volume summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past few decades. The authors integrate related research into the book and demonstrate the wide context from which the area has grown and continues to grow.


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