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" Practical Bilevel Optimization "
by Jonathan F. Bard.
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BL
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573113
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b402332
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| Main Entry
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Bard, Jonathan F.
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| Title & Author
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Practical Bilevel Optimization : Algorithms and Applications /\ by Jonathan F. Bard.
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| Publication Statement
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Boston, MA :: Springer US :: Imprint: Springer,, 1998.
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| Series Statement
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Nonconvex Optimization and Its Applications,; 30
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| ISBN
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9781475728361
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: 9781441948076
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| Contents
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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.
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| Abstract
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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.
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Mathematics.
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Information theory.
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Operations research.
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SpringerLink (Online service)
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