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Practical Bilevel Optimization - Algorithms and Applications (Hardcover, 1999 ed.)
Loot Price: R8,209
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Practical Bilevel Optimization - Algorithms and Applications (Hardcover, 1999 ed.)
Series: Nonconvex Optimization and Its Applications, 30
Expected to ship within 12 - 17 working days
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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.
General
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