Mathematical Programs with Equilibrium Constraints by Zhi-Quan Luo
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Mathematical Programs with Equilibrium Constraints
By Zhi-Quan Luo

Mathematical Programs with Equilibrium Constraints

By (author) See other recent books by Zhi-Quan Luo See other recent books by Jong-Shi Pang See other recent books by Daniel Ralph
Format: Hardback

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Mathematical Programs with Equilibrium Constraints by Zhi-Quan Luo

Book Description

This book provides a solid foundation and an extensive study for an important class of constrained optimization problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimization problems. The book begins with the description of many source problems arising from engineering and economics that are amenable to treatment by the MPEC methodology. Error bounds and parametric analysis are the main tools to establish a theory of exact penalisation, a set of MPEC constraint qualifications and the first-order and second-order optimality conditions. The book also describes several iterative algorithms such as a penalty-based interior point algorithm, an implicit programming algorithm and a piecewise sequential quadratic programming algorithm for MPECs. Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has a central role to play in the modelling of many practical problems.

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Book Details

ISBN: 9780521572903
ISBN-10: 0521572908
Format: Hardback
(228mm x 152mm x 27mm)
Pages: 428
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Nov-1996
Country of Publication: United Kingdom

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Books By Author Zhi-Quan Luo

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Mathematical Programs with Equilibrium Constraints by Zhi-Quan Luo Mathematical Programs with Equilibrium Constraints, Paperback (June 2008)

An extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints.

» View all books by Zhi-Quan Luo

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