Optimization and Operations Research

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Editor(s):
Ulrich Derigs
Volume(s):
4
Published:
2008
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Optimization and Operations Research is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias.

The Theme on Optimization and Operations Research is organized into six different topics which represent the main scientific areas of the theme: 1. Fundamentals of Operations Research; 2. Advanced Deterministic Operations Research; 3. Optimization in Infinite Dimensions; 4. Game Theory; 5. Stochastic Operations Research; 6. Decision Analysis, which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.

Ulrich Derigs is Director of the Department of Information Systems and Operations Research (WINFORS) at the University of Cologne, Germany. He received a Master’s degree (1975) and a Doctoral degree (1979) in Mathematics and a Doctoral degree (1981) in Economics from the University of Cologne. In 1985 he completed his habilitation at the University of Bonn. He was Assistant Professor at the Mathematical Institute (1976 to 1979) and at the Seminar for Industrial Engineering (1979 to 1981) at the University of Cologne. From 1981 to 1985 he was Assistant Professor at the Institute for Econometrics and Operations Research at the University of Bonn and member of a Sonderforschungsbereich (DFG). From 1985 to 1990 he was Professor of Information Systems and Operations Research at the University of Bayreuth, and since 1990 he has been Professor at the University of Cologne. He has done extensive research in combinatorial optimization with an emphasis on the design, analysis, and evaluation of efficient algorithms and industrial applications. Today his interest lies in the interface between Operations Research and information systems. His focus is the design and implementation of model-based decision support concepts and systems in different application areas such as routing and scheduling, production planning, logistics, finance, and telecommunication. Ulrich Derigs is on the editorial board of several journals. From 1988 to 1992 he was editor in chief of OR-Spektrum, the journal of DGOR, the German OR society. From 1992 to 1998 he was a member of the board of DGOR and from 1996 to 1998 President of the DGOR.

Table of Contents (51 Chapters)
  • 1. Optimization and Operations Research

    Ulrich Derigs
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    Volume : 1
  • 2. Fundamentals of Operations Research

    Ulrich Derigs
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    Volume : 1
  • 3. The Role of Modeling

    Heiner Müller-Merbach
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    Volume : 1
  • 4. Linear Programming

    Karl Heinz Borgwardt
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    Volume : 1
  • 5. Nonlinear Programming

    K. Schittkowski and Ch. Zillober
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    Volume : 1
  • 6. Dynamic Programming

    Sniedovich M.
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    Volume : 1
  • 7. Discrete Optimization

    Franz Rendl
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    Volume : 1
  • 8. The Role of Software in Optimization and Operations Reseach

    Harvey J. Greenberg
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    Volume : 1
  • 9. Advanced Deterministic Optimization

    T. M. Liebling and A. Prodon,L. E. Trotter, Jr.
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    Volume : 2
  • 10. Combinatorial Optimization and Integer Programming

    Michael Jünger,Gerhard Reinelt
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    Volume : 2
  • 11. Graph and Network Optimization

    Ravindra K. Ahuja,James B. Orlin
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    Volume : 2
  • 12. Scheduling

    Peter Brucker and Sigrid Knust
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    Volume : 2
  • 13. Routing Problems

    Ulrich Derigs
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    Volume : 2
  • 14. Large Scale Optimization

    Alexander Martin
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    Volume : 2
  • 15. Duality Theory

    Jørgen Tind
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    Volume : 2
  • 16. Nonsmooth Optimization

    C. Lemaréchal and F. Oustry,J. Zowe
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    Volume : 2
  • 17. Global Optimization and Meta-Heuristics

    Manuel Laguna
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    Volume : 2
  • 18. Approximation Algorithms

    P. Crescenzi
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    Volume : 2
  • 19. Optimization in Infinite Dimensions

    Martin Brokate
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    Volume : 3
  • 20. The Principles of the Calculus of Variations

    Michael Grüter
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    Volume : 3
  • 21. The Maximum Principle of Pontryagin

    Martin Brokate
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    Volume : 3
  • 22. Dynamic Programming and Bellman's Principle

    Piermarco Cannarsa
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    Volume : 3
  • 23. Optimization and Control of Distributed Processes

    Matthias Heinkenschloss
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    Volume : 3
  • 24. Nonconvex Variational Problems

    Michel Chipot
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    Volume : 3
  • 25. Game Theory

    Joachim Rosenmüller and Walter Trockel
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    Volume : 3
  • 26. Foundations of Non-Cooperative Games

    Ron Holzman
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    Volume : 3
  • 27. NTU-Games

    Hans Peters
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    Volume : 3
  • 28. TU-Games

    Shigeo Muto
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    Volume : 3
  • 29. The Equivalence Principle

    Birgit Grodal
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    Volume : 3
  • 30. Mechanism Theory

    Matthew O. Jackson
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    Volume : 3
  • 31. Stochastic and Repeated Games

    Françoise Forges
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    Volume : 3
  • 32. Evolution and Learning in Games

    Fernando Vega-Redondo
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    Volume : 3
  • 33. Experimental Game Theory

    Werner Güth
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    Volume : 3
  • 34. Stochastic Operations Research

    Ulrich Rieder
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    Volume : 4
  • 35. Markov Models

    Nicole Bäuerle
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    Volume : 4
  • 36. Markov Decision Processes

    Ulrich Rieder
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    Volume : 4
  • 37. Stochastic Games

    Ulrich Rieder
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    Volume : 4
  • 38. Queueing Systems

    Nicole Bäuerle
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    Volume : 4
  • 39. Inventory Models

    Waldmann K.-H.
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    Volume : 4
  • 40. Investment Models

    Ulrich Rieder
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    Volume : 4
  • 41. Adaptive Dynamic Programming

    Gerhard Hübner
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    Volume : 4
  • 42. Decision Analysis

    Hans Wolfgang Brachinger, and Paul-André Monney
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    Volume : 4
  • 43. Expected Utility Theory and Alternative Approaches

    Ulrich Schmidt
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    Volume : 4
  • 44. Risk-Defusing Behavior

    Oswald Huber
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    Volume : 4
  • 45. Decision Problems and Decision Models

    J. Sounderpandian
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    Volume : 4
  • 46. Multiple-Criteria Decision Making

    Walter Habenicht, Beate Scheubrein and Ralph Scheubrein
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    Volume : 4
  • 47. Decision Trees and Influence Diagrams

    Prakash P. Shenoy
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    Volume : 4
  • 48. Framing Effects in Theory and in Practice

    Anton Kühberger
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    Volume : 4
  • 49. Fuzzy Decision Theory

    Heinrich J. Rommelfanger
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    Volume : 4
  • 50. Measurement of Risk

    Hans Wolfgang Brachinger
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    Volume : 4
  • 51. Foundations of Target-Based Decision Theory

    Robert F. Bordley
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    Volume : 4
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