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Practical Bilevel Optimization : Algorithms and Applications

Algorithms and Applications

By: Jonathan F. Bard

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Hardcover | 1 February 1999

At a Glance

Hardcover
492 Pages

Dimensions(cm)
25.4 x 17.15 x 3.18

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The focus of this book is on bilevel programming which combines elements of hierarchical optimization and game theory. The basic model addresses the problem where two decision-makers, each with their individual objectives, act and react in a noncooperative 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. Over the last 20 years there has been a steady growth in research related to theory and solution methodologies for bilevel programming. This interest stems from the inherent complexity and consequent challenge of the underlying mathematics, as well as the applicability of the bilevel model to many real-world situations. The primary aim of this book is to provide a historical perspective on algorithmic development and to highlight those implementations that have proved to be the most efficient in their class. A corollary aim is to provide a sampling of applications in order to demonstrate the versatility of the basic model and the limitations of current technology. What is unique about this book is its comprehensive and integrated treatment of theory, algorithms and implementation issues. It is the first text that offers researchers and practitioners an elementary understanding of how to solve bilevel programs and a perspective on what success has been achieved in the field. Audience: Includes management scientists, operations researchers, industrial engineers, mathematicians and economists.

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You Can Find This Book In

Non-Fiction Mathematics Optimisation Linear Programming Computing & I.T.Computer Programming & Software Development Probability & Statistics Applied Mathematics Game Theory Business & Management Operational Research Computer Science

Engineering & Technology Technology in General Maths for Engineers

Preface
Mathematical Programming	p. 1
Introduction	p. 3
Linear Programming	p. 17
Integer Programming	p. 76
Nonlinear Programming	p. 137
Bilevel Programming	p. 193
Linear BLP: Continuous Variables	p. 195
Linear BLP: Discrete Variables	p. 232
Convex Bilevel Programming	p. 269
General Bilevel Programming	p. 301
Heuristics	p. 361
Applications	p. 389
Transportation Network Design	p. 391
Production Planning	p. 414
Determining Price Support Levels for Biofuel Crops	p. 428
References	p. 455
Index	p. 469
Table of Contents provided by Blackwell. All Rights Reserved.

Practical Bilevel Optimization : Algorithms and Applications

Algorithms and Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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