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AuthorBard, Jonathan F. author
TitlePractical Bilevel Optimization [electronic resource] : Algorithms and Applications / by Jonathan F. Bard
ImprintBoston, MA : Springer US : Imprint: Springer, 1998
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Descript XII, 476 p. online resource


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


1 Introduction -- 2 Linear Programming -- 3 Integer Programming -- 4 Nonlinear Programming -- 5 Linear BLP: Continuous Variables -- 6 Linear BLP: Discrete Variables -- 7 Convex Bilevel Programming -- 8 General Bilevel Programming -- 9 Heuristics -- 10 Transportation Network Design -- 11 Production Planning -- 12 Determining Price Support Levels for Biofuel Crops -- References

Mathematics Operations research Decision making Computers Mathematical models Management science Mathematics Operations Research Management Science Operation Research/Decision Theory Theory of Computation Mathematical Modeling and Industrial Mathematics


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