Practical Bilevel Optimization

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Dezember 1998



The use of optimization techniques has become integral to the design and analysis of most industrial and socio-economic systems. Great strides have been made recently in the solution of large-scale problems arising in such areas as production planning, airline scheduling, government regulation, and engineering design, to name a few. Analysts have found, however, that standard mathematical programming models are often inadequate in these situations because more than a single objective function and a single decision maker are involved. Multiple objective programming deals with the extension of optimization techniques to account for several objective functions, while game theory deals with the inter-personal dynamics surrounding conflict. Bilevel programming, the focus of this book, is in a narrow sense the combination of the two. It addresses the problern in which two decision makers, each with their individual objectives, act and react in a noncooperative, sequential manner. The actions of one affect the choices and payoffs available to the other but neither player can completely dominate the other in the traditional sense.


Preface. Part
I: Mathematical Programming.
1. Introduction.
2. Linear Progrmaming.
3. Integer Programming.
4. Nonlinear Programming. Part
II: Bilevel Programming.
5. Linear BLP: Continuous Variables.
6. Linear BLP: Discrete Variables.
7. Convex Bilevel Programming.
8. General Bilevel Programming.
9. Heuristics. Part
III: Applications.
10. Transportation Network Design.
11. Production Planning.
12. Determining Price Support Levels for Biofuel Crops. References. Index.
EAN: 9780792354581
ISBN: 0792354583
Untertitel: Algorithms and Applications. 1999. Auflage. Book. Sprache: Englisch.
Verlag: Springer
Erscheinungsdatum: Dezember 1998
Seitenanzahl: 492 Seiten
Format: gebunden
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