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Practical Bilevel Optimization: Algorithms and Applications

✍ Scribed by Jonathan F. Bard (auth.)


Publisher
Springer US
Year
1998
Tongue
English
Leaves
483
Series
Nonconvex Optimization and Its Applications 30
Edition
1
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Front Matter....Pages i-xii
Front Matter....Pages 1-1
Introduction....Pages 3-16
Linear Programming....Pages 17-75
Integer Programming....Pages 76-136
Nonlinear Programming....Pages 137-192
Front Matter....Pages 193-193
Linear Bilevel Programming: Continuous Variables....Pages 195-231
Linear Bilevel Programming: Discrete Variables....Pages 232-268
Convex Bilevel Programming....Pages 269-300
General Bilevel Programming....Pages 301-360
Heuristics....Pages 361-388
Front Matter....Pages 389-389
Transportation Network Design....Pages 391-413
Production Planning with Inexact Customer Demand....Pages 414-427
Determining Price Support Levels for Biofuel Crops....Pages 428-454
Back Matter....Pages 455-476

✦ Subjects


Operations Research, Management Science; Operation Research/Decision Theory; Theory of Computation; Mathematical Modeling and Industrial Mathematics


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