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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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1996
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UER01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xxiv, 401 pages) |
| ISBN: | 9780511983658 |
| DOI: | 10.1017/CBO9780511983658 |
Internformat
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| 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 | |
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| 505 | 8 | |a 1. Introduction -- 2. Exact Penalization of MPEC -- 3. First-Order Optimality Conditions -- 4. Verification of MPEC Hypotheses -- 5. Second-Order Optimality Conditions -- 6. Algorithms for MPEC. | |
| 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 | ||
| 650 | 4 | |a Mathematical optimization | |
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Datensatz im Suchindex
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| author | Luo, Zhi-quan |
| author_GND | (DE-588)1158387040 (DE-588)170583937 |
| author_facet | Luo, Zhi-quan |
| author_role | aut |
| author_sort | Luo, Zhi-quan |
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| bvnumber | BV043945508 |
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| contents | 1. Introduction -- 2. Exact Penalization of MPEC -- 3. First-Order Optimality Conditions -- 4. Verification of MPEC Hypotheses -- 5. Second-Order Optimality Conditions -- 6. Algorithms for MPEC. |
| ctrlnum | (ZDB-20-CBO)CR9780511983658 (OCoLC)972507993 (DE-599)BVBBV043945508 |
| dewey-full | 519.76 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.76 |
| dewey-search | 519.76 |
| dewey-sort | 3519.76 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511983658 |
| format | Electronic eBook |
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| id | DE-604.BV043945508 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:23Z |
| institution | BVB |
| isbn | 9780511983658 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354479 |
| oclc_num | 972507993 |
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| owner_facet | DE-12 DE-29 DE-92 |
| physical | 1 online resource (xxiv, 401 pages) |
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| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Cambridge University Press |
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| spelling | Luo, Zhi-quan Verfasser (DE-588)1158387040 aut Mathematical programs with equilibrium constraints Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph Cambridge Cambridge University Press 1996 1 online resource (xxiv, 401 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Introduction -- 2. Exact Penalization of MPEC -- 3. First-Order Optimality Conditions -- 4. Verification of MPEC Hypotheses -- 5. Second-Order Optimality Conditions -- 6. Algorithms for MPEC. 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 Mathematical optimization Nonlinear programming Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 s 1\p DE-604 Pang, Jong-Shi Sonstige (DE-588)170583937 oth Ralph, Daniel Sonstige oth Erscheint auch als Druck-Ausgabe, Hardcover 978-0-521-57290-3 Erscheint auch als Druck-Ausgabe, Paperback 978-0-521-06508-5 https://doi.org/10.1017/CBO9780511983658 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Luo, Zhi-quan Mathematical programs with equilibrium constraints 1. Introduction -- 2. Exact Penalization of MPEC -- 3. First-Order Optimality Conditions -- 4. Verification of MPEC Hypotheses -- 5. Second-Order Optimality Conditions -- 6. Algorithms for MPEC. Mathematical optimization Nonlinear programming Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4128192-5 |
| 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 |
| topic | Mathematical optimization Nonlinear programming Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | Mathematical optimization Nonlinear programming Nichtlineare Optimierung |
| url | https://doi.org/10.1017/CBO9780511983658 |
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