Lieberman / Olkin Multi-Objective Programming in the USSR

1. Auflage 2014
ISBN: 978-1-4832-6550-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 398 Seiten, Web PDF

Statistical Modeling and Decision Science: Multi-Objective Programming in the USSR provides information pertinent to multi-objective programming that has emerged as an increasingly active area of research in the fields of applied mathematics, operations research, and decision and management science. This book traces and analyzes the development of Soviet multi-objective programming. Organized into 24 chapters, this book begins with an overview of the research institutes most actively involved in multi-objective programming research. This text then presents an analytical framework for grouping and classifying the diverse Soviet methods. Other chapters consider the methods and then evaluated according to the significance and soundness of its basic approach and its kinship to other methods. This book discusses as well some significant Soviet theoretical research and several distinctive approaches proposed by Soviet researchers for comparing the effectiveness of alternative interactive multi-objective programming method. The final chapter deals with distinctive Soviet tendencies in multi-objective research. This book is a valuable resource for economists.

Autoren/Hrsg.

Lieberman, Elliot R.

Lieberman, Gerald J.

Olkin, Ingram

Inhaltsverzeichnis

1;Front Cover;1
2;Multi-Objective Programming in the USSR;4
3;Copyright Page;5
4;Table of Contents;8
5;List of Tables;12
6;List of Figures;16
7;Preface;20
8;Acknowledgements;26
9;Chapter 1. Origins of Soviet Multi-Objective Programming;30
10;Chapter 2. A Framework for Approaching Soviet Multi-Objective Programming;40
11;Part I: No Articulation of Preferences;48
11.1;Chapter 3. Salukvadze's Ideal Distance Minimization Method;52
11.2;Chapter 4. Multi-Objective Programming and the Maximal Effectiveness Principle;56
11.3;Chapter 5. Velichenko's Minimax Method;68
12;Part II: A Priori Articulation of Preferences;72
12.1;Chapter 6. Multi-Objective Decomposition for Scalar Problems;76
13;Part III: Progressive Articulation of Preferences;80
13.1;Using Target Values;84
13.2;Chapter 7. The Hierarchical Decomposition Approach to High Dimension Multi-Objective Programming Problems;86
13.3;Chapter 8. The STEM Method;96
13.4;Chapter 9. Multi-Objective Graph Theory;100
13.5;Chapter 10. Method of Constraints;108
13.6;Chapter 11. Parameter Space Investigation Method;118
13.7;Ranking of Alternatives or Objectives;144
13.8;Chapter 12. The Random Search Method;146
13.9;Chapter 13. The Vector-Relaxation Method;152
13.10;Chapter 14. The Interactive e-Grid Method;158
13.11;Other Forms of Preference Information;166
13.12;Chapter 15. Adaptive Search Method for Multi-Objective Optimization;168
13.13;Chapter 16. Pareto Boundary Maps;178
14;Part IV: A Posteriori Articulation of Preferences;186
14.1;Chapter 17. Dynamic Multi-Objective Programming;190
14.2;Chapter 18. The Reachable Sets Method;200
14.3;Chapter 19. Piecewise Linear Approximation;222
15;Part V: Other Noteworthy Research;228
15.1;Chapter 20. Methodological Research at VNIISI;232
15.2;Chapter 21. Rastrigin and Eiduk's Methodological Work;246
15.3;Chapter 22. The Theory of Parametric Scalarization;252
15.4;Chapter 23. Miscellaneous Other Research;258
15.4.1;23.1 Moldavskii's Evaluative Model;258
15.4.2;23.2 Podinovskii and Nogin's Research;259
15.4.3;23.3 Lotov's Taxonomy;262
15.5;Chapter 24. Some Concluding Observations;266
16;Appendix;276
16.1;A The Method of Constraints;276
16.2;B Terminology;332
16.3;C Soviet Books on Multi-Objective Subjects;336
16.4;D Soviet Researchers' Institutional Affiliations;338
16.5;E Cyrillic—Roman Transliteration Conventions;344
17;Bibliography;346
18;Soviet Sources;346
19;Non-Soviet Sources;382
20;Index;392