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Mathematical Programs with Equilibrium Constraints

Name: Mathematical Programs with Equilibrium Constraints
Brand: Cambridge University Press
SKU: 02035736
Price: 168.32 EUR
Availability: InStock
Author: Zhi-Quan Luo
ISBN: 9780521572903

Zhi-Quan Luo

Jong-Shi Pang

Daniel Ralph

Language

English

Book Hardback

Libristo code: 02035736

Publishers Cambridge University Press, November 1996

This book provides a solid foundation and an extensive study for an important class of constrained o... Full description

Libristo code: 02035736

407 b

168.32 €

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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.