Mathematical programs with equilibrium constraints
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 prob...
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Cambridge University Press
1996
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| 020 | |a 9780511983658 | ||
| 100 | 1 | |a Luo, Zhi-Quan | |
| 245 | 1 | 0 | |a Mathematical programs with equilibrium constraints |c Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1996 | |
| 300 | |a 1 Online-Ressource (xxiv, 401 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 520 | |a 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. | ||
| 700 | 1 | |a Pang, Jong-Shi | |
| 700 | 1 | |a Ralph, Daniel | |
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| isbn | 9780511983658 |
| language | English |
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| publisher | Cambridge University Press |
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| spelling | Luo, Zhi-Quan Mathematical programs with equilibrium constraints Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph Cambridge Cambridge University Press 1996 1 Online-Ressource (xxiv, 401 Seiten) txt c cr 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. Pang, Jong-Shi Ralph, Daniel Erscheint auch als Druck-Ausgabe 9780521065085 Erscheint auch als Druck-Ausgabe 9780521572903 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9780511983658 Volltext |
| spellingShingle | Luo, Zhi-Quan Mathematical programs with equilibrium constraints |
| title | Mathematical programs with equilibrium constraints |
| title_auth | Mathematical programs with equilibrium constraints |
| title_exact_search | Mathematical programs with equilibrium constraints |
| title_full | Mathematical programs with equilibrium constraints Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph |
| title_fullStr | Mathematical programs with equilibrium constraints Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph |
| title_full_unstemmed | Mathematical programs with equilibrium constraints Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph |
| title_short | Mathematical programs with equilibrium constraints |
| title_sort | mathematical programs with equilibrium constraints |
| url | https://doi.org/10.1017/CBO9780511983658 |
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