Duality in Vector Optimization, Radu Ioan Bot; Sorin-Mihai Grad; Gert Wanka
Автор: Sorin-Mihai Grad Название: Vector Optimization and Monotone Operators via Convex Duality ISBN: 3319361902 ISBN-13(EAN): 9783319361901 Издательство: Springer Рейтинг: 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.
Автор: Dinh The Luc Название: Theory of Vector Optimization ISBN: 3540505415 ISBN-13(EAN): 9783540505419 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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).
Автор: Korte, Bernhard, Vygen, Jens Название: Combinatorial Optimization (algorithms and Combinatorics 21) 5th ed. ISBN: 3642244874 ISBN-13(EAN): 9783642244872 Издательство: Springer Рейтинг: 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.
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.
Автор: Kaliszewski Название: Multiple Criteria Decision Making by Multiobjective Optimization ISBN: 3319327550 ISBN-13(EAN): 9783319327556 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
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.
Автор: Willem K. Klein Haneveld Название: Duality in Stochastic Linear and Dynamic Programming ISBN: 3540167935 ISBN-13(EAN): 9783540167938 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Johannes Jahn; Werner Krabs Название: Recent Advances and Historical Development of Vector Optimization ISBN: 3540182152 ISBN-13(EAN): 9783540182153 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Gabriele Eichfelder Название: Variable Ordering Structures in Vector Optimization ISBN: 3662525518 ISBN-13(EAN): 9783662525517 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Qamrul Hasan Ansari; Jen-Chih Yao Название: Recent Developments in Vector Optimization ISBN: 3642271065 ISBN-13(EAN): 9783642271069 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
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 Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Shashi K. Mishra; Shouyang Wang; Kin Keung Lai Название: V-Invex Functions and Vector Optimization ISBN: 1441945288 ISBN-13(EAN): 9781441945280 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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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