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Mathematics of Multi Objective Optimization

  • Book
  • © 1985

Overview

Editors:
  1. Paolo Serafini

    1. Istituto di Matematica Informatica e Sistemistica, Università di Udine, Udine, Italy

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Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 289)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-vi
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  2. Theory

    1. Front Matter

      Pages VII-VII
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    2. Value Functions and Preference Structures

      • Antonie Stam, Yoon-Ro Lee, Po-Lung Yu
      Pages 1-22

    3. Dominance Concepts in Random Outcomes

      • Yoo-Ro Lee, Antonie Stam, Po-Lung Yu
      Pages 23-43

    4. Scalarization in Multi Objective Optimization

      • Johannes Jahn
      Pages 45-88

    5. A Unified Approach for Scalar and Vector Optimization

      • Paolo Serafini
      Pages 89-104

    6. Lagrange Duality and Its Geometric Interpretation

      • Hirotaka Nakayama
      Pages 105-127

    7. Conjugate Maps and Conjugate Duality

      • Tetsuzo Tanino
      Pages 129-155

    8. Linear Multiple Objective Programming

      • Roger Hartley
      Pages 157-177

    9. Some Existence Results and Stability in Multi Objective Optimization

      • Roberto Lucchetti
      Pages 179-187

    10. Applicability of the Functional Equation in Multi Criteria Dynamic Programming

      • Mordechai I. Henig
      Pages 189-213

    11. Vector Optimal Routing by Dynamic Programming

      • Roger Hartley
      Pages 215-224

  3. Modelling and Applications

    1. Front Matter

      Pages 225-225
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    2. Multiple Criteria Mathematical Programming: An Overview and Several Approaches

      • Stanley Zionts
      Pages 227-273

    3. Aids for Decision Making with Conflicting Objectives

      • Elemer E. Rosinger
      Pages 275-315

    4. The Analytic Hierarchy Process: Experiments in Stability

      • A. G. Lockett, B. Hetherington
      Pages 317-351

    5. An Algorithm to Solve a Two-Level Resource Control Pre-Emptive Hierarchical Programming Problem

      • C. Subhash Narula, D. Adiele Nwosu
      Pages 353-373

    6. Composite Programming as an Extension of Compromise Programming

      • Andras Bárdossy, Istvan Bogárdi, Lucien Duckstein
      Pages 375-408

    7. Optimizing the Distribution of Trade between Ports and Trading Centres

      • A. A. El-Dash, J. B. Hughes
      Pages 409-419

    8. Aids for Multi Objective Decision Making on Development of Transportation Network under Uncertainty

      • Miroslaw Berezifiski, Lech Krus
      Pages 421-432
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Keywords

Editors and Affiliations

  • Istituto di Matematica Informatica e Sistemistica, Università di Udine, Udine, Italy

    Paolo Serafini

Bibliographic Information

  • Book Title: Mathematics of Multi Objective Optimization

  • Editors: Paolo Serafini

  • Series Title: CISM International Centre for Mechanical Sciences

  • DOI: https://doi.org/10.1007/978-3-7091-2822-0

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Wien 1985

  • Softcover ISBN: 978-3-211-81860-2Published: 09 August 1985

  • eBook ISBN: 978-3-7091-2822-0Published: 04 May 2014

  • Series ISSN: 0254-1971

  • Series E-ISSN: 2309-3706

  • Edition Number: 1

  • Number of Pages: VII, 441

  • Topics: Mathematics, general

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