Practical Bilevel Optimization: Algorithms and Applications
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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Practical Bilevel Optimization: Algorithms and Applications
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.
329.99 In Stock
Practical Bilevel Optimization: Algorithms and Applications

Practical Bilevel Optimization: Algorithms and Applications

by Jonathan F. Bard
Practical Bilevel Optimization: Algorithms and Applications

Practical Bilevel Optimization: Algorithms and Applications

by Jonathan F. Bard

Paperback(Softcover reprint of hardcover 1st ed. 1999)

$329.99 
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Overview

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.

Product Details

ISBN-13: 9781441948076
Publisher: Springer US
Publication date: 12/09/2010
Series: Nonconvex Optimization and Its Applications , #30
Edition description: Softcover reprint of hardcover 1st ed. 1999
Pages: 476
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

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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