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  • 1
    Online-Ressource
    Online-Ressource
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    UID:
    almahu_9949198288402882
    Umfang: VIII, 248 p. 2 illus. , online resource.
    Ausgabe: 1st ed. 2000.
    ISBN: 9783662221990
    Serie: Lecture Notes in Economics and Mathematical Systems, 491
    Inhalt: 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.
    Anmerkung: 1. Introduction -- 2. Pareto Optimality and Efficiency -- 3. Weighted Sum Scalarization -- 4. Other Methods for Pareto Optimality -- 5. Multicriteria Linear Programming -- 6. Other Optimality Concepts -- 7. Combinatorial Problems with Multiple Objectives -- List of Figures -- List of Tables -- Author Index.
    In: Springer Nature eBook
    Weitere Ausg.: Printed edition: ISBN 9783540678694
    Weitere Ausg.: Printed edition: ISBN 9783662222003
    Sprache: Englisch
    Fachgebiete: Wirtschaftswissenschaften , Mathematik
    RVK:
    RVK:
    RVK:
    URL: Volltext  (URL des Erstveröffentlichers)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Berlin, Heidelberg : Springer Berlin Heidelberg
    UID:
    gbv_772934940
    Umfang: Online-Ressource (VIII, 248 p) , online resource
    Ausgabe: Springer eBook Collection. Business and Economics
    ISBN: 9783662221990
    Serie: Lecture Notes in Economics and Mathematical Systems 491
    Inhalt: The book provides an introduction to multicriteria optimization. It covers theoretical topics such as existence of optimal solutions as well as methodological issues. A classification of multicriteria optimization problems is developed and used as a guideline throughout the book. First, fundamental solution concepts are defined and their properties and relations discussed. Then a variety of methods to find optimal solutions is described. Chapters on multicriteria linear optimization, uncommon solution concepts, and combinatorial problems conclude the book. The text contains material which cannot be found in other textbooks on the subject, because several chapters are based on new research results. It is suitable for a mathematically oriented course on multicriteria optimization. The material can be covered in the order in which it is presented, but it is also possible to select topics from various chapters. The exercises at the end of each chapter provide possibilities to practice as well as some outlooks to more general settings, when appropriate
    Anmerkung: IntroductionPareto Optimality and Efficiency -- Weighted Sum Scalarization -- Other Methods for Pareto Optimality -- Multicriteria Linear Programming -- Other Optimality Concepts -- Combinatorial Problems with Multiple Objectives.
    Weitere Ausg.: ISBN 9783540678694
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 9783540678694
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 9783662222003
    Sprache: Englisch
    URL: Volltext  (lizenzpflichtig)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
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