Matthias Ehrgott's Books

Multicriteria Optimization

By: Matthias Ehrgott

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Life is about decisions. Decisions, no matter if made by a group or an indi vidual, involve several conflicting objectives. The observation that real world problems have to be solved optimally according to criteria, which prohibit an "ideal" solution - optimal for each decision-maker under each of the criteria considered - has led to the development of multicriteria optimization. From its first roots, which where laid by Pareto at the end of the 19th century the discipline has prospered and grown, especially during the last three decades. Today, many decision support systems incorporate methods to deal with conflicting objectives. The foundation for such systems is a mathematical theory of optimization under multiple objectives. Fully aware of the fact that there have been excellent textbooks on the topic before, I do not claim that this is better text, but it has a has a consid erably different focus. Some of the available books develop the mathematical background in great depth, such as [SNT85, GN90, Jah86). Others focus on a specific structure of the problems covered as [Zel74, Ste85, Mie99) or on methodology [Yu85, CH83a, HM79). Finally there is the area of multicriteria decision aiding [Roy96, Vin92, KR93), the main goal of which is to help deci sion makers find the final solution (among many "optimal" ones) eventually to be implemented.

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Page Count

248

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662221993

ISBN 13

9783662221990

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

By: Jesus A. De Loera,Raymond Hemmecke,Matthias K?ppe

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Algebraic and Geometric Ideas in the Theory of Discrete Optimization

By: Jesus A. De Loera,Raymond Hemmecke,Matthias K?ppe

In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete optimization. This book can be used as a textbook for advanced undergraduates or first-year graduate students in mathematics, computer science or operations research. It is also appropriate for mathematicians, engineers, and scientists engaged in computation who wish to gain a deeper understanding of how and why algorithms work.

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Page Count

320

Publisher

SIAM

Published Date

ISBN 10

1611972434

ISBN 13

9781611972436

Multi-Project Management with a Multi-Skilled Workforce

A Quantitative Approach Aiming at Small Project Teams

By: Matthias Walter

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Multi-Project Management with a Multi-Skilled Workforce

A Quantitative Approach Aiming at Small Project Teams

By: Matthias Walter

This book covers three fundamental problems at the interface of multi-project management and human resource management: the selection of projects, the composition of small project teams, and workload leveling. Matthias Walter proposes optimization models and solution methods for these problems, assuming multi-skilled workers with heterogeneous skill levels. For the first time, the author presents exact and heuristic methods that support managers to form small teams. Additionally, he outlines a new skill chaining strategy that increases workforce flexibility.

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Page Count

319

Publisher

Springer

Published Date

ISBN 10

3658080361

ISBN 13

9783658080365

Multicriteria Optimization

By: Matthias Ehrgott

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Multicriteria Optimization

By: Matthias Ehrgott

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

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Page Count

329

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540276599

ISBN 13

9783540276593

Trends in Multiple Criteria Decision Analysis

By: Salvatore Greco,Matthias Ehrgott,José Rui Figueira

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Trends in Multiple Criteria Decision Analysis

By: Salvatore Greco,Matthias Ehrgott,José Rui Figueira

Multiple Criteria Decision Making (MCDM) is the study of methods and procedures by which concerns about multiple conflicting criteria can be formally incorporated into the management planning process. A key area of research in OR/MS, MCDM is now being applied in many new areas, including GIS systems, AI, and group decision making. This volume is in effect the third in a series of Springer books by these editors (all in the ISOR series), and it brings all the latest developments in MCDM into focus. Looking at developments in the applications, methodologies and foundations of MCDM, it presents research from leaders in the field on such topics as Problem Structuring Methodologies; Measurement Theory and MCDA; Recent Developments in Evolutionary Multiobjective Optimization; Habitual Domains and Dynamic MCDM in Changeable Spaces; Stochastic Multicriteria Acceptability Analysis; and many more chapters.

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Page Count

412

Publisher

Springer

Published Date

ISBN 10

1441959033

ISBN 13

9781441959034

Book's by Matthias Ehrgott

Multicriteria Optimization

Multicriteria Optimization

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

Multi-Project Management with a Multi-Skilled Workforce

Multi-Project Management with a Multi-Skilled Workforce

Multicriteria Optimization

Multicriteria Optimization

Trends in Multiple Criteria Decision Analysis

Trends in Multiple Criteria Decision Analysis

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