Nonlinear Multiobjective Optimization: A Generalized Homotopy Approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2001
|
| Schriftenreihe: | International Series of Numerical Mathematics
135 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization. The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods |
| Beschreibung: | 1 Online-Ressource (IX, 135 p) |
| ISBN: | 9783034882804 9783034895019 |
| DOI: | 10.1007/978-3-0348-8280-4 |
Internformat
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Datensatz im Suchindex
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| author | Hillermeier, Claus 1960- |
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| author_sort | Hillermeier, Claus 1960- |
| author_variant | c h ch |
| building | Verbundindex |
| bvnumber | BV042422088 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184449718 (DE-599)BVBBV042422088 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8280-4 |
| format | Electronic eBook |
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| id | DE-604.BV042422088 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034882804 9783034895019 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857505 |
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| physical | 1 Online-Ressource (IX, 135 p) |
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| series2 | International Series of Numerical Mathematics |
| spelling | Hillermeier, Claus 1960- Verfasser (DE-588)113335636 aut Nonlinear Multiobjective Optimization A Generalized Homotopy Approach by Claus Hillermeier Basel Birkhäuser Basel 2001 1 Online-Ressource (IX, 135 p) txt rdacontent c rdamedia cr rdacarrier International Series of Numerical Mathematics 135 Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization. The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods Mathematics Mathematics, general Mathematik Mehrkriterielle Optimierung (DE-588)4610682-0 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Mehrkriterielle Optimierung (DE-588)4610682-0 s Nichtlineare Optimierung (DE-588)4128192-5 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-8280-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hillermeier, Claus 1960- Nonlinear Multiobjective Optimization A Generalized Homotopy Approach Mathematics Mathematics, general Mathematik Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4610682-0 (DE-588)4128192-5 |
| title | Nonlinear Multiobjective Optimization A Generalized Homotopy Approach |
| title_auth | Nonlinear Multiobjective Optimization A Generalized Homotopy Approach |
| title_exact_search | Nonlinear Multiobjective Optimization A Generalized Homotopy Approach |
| title_full | Nonlinear Multiobjective Optimization A Generalized Homotopy Approach by Claus Hillermeier |
| title_fullStr | Nonlinear Multiobjective Optimization A Generalized Homotopy Approach by Claus Hillermeier |
| title_full_unstemmed | Nonlinear Multiobjective Optimization A Generalized Homotopy Approach by Claus Hillermeier |
| title_short | Nonlinear Multiobjective Optimization |
| title_sort | nonlinear multiobjective optimization a generalized homotopy approach |
| title_sub | A Generalized Homotopy Approach |
| topic | Mathematics Mathematics, general Mathematik Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Mehrkriterielle Optimierung Nichtlineare Optimierung |
| url | https://doi.org/10.1007/978-3-0348-8280-4 |
| work_keys_str_mv | AT hillermeierclaus nonlinearmultiobjectiveoptimizationageneralizedhomotopyapproach |