Linear Programming: Mathematics, Theory and Algorithms:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Springer US
1996
|
Schriftenreihe: | Applied Optimization
2 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Linear Programming provides an in-depth look at simplex based as well as the more recent interior point techniques for solving linear programming problems. Starting with a review of the mathematical underpinnings of these approaches, the text provides details of the primal and dual simplex methods with the primal-dual, composite, and steepest edge simplex algorithms. This then is followed by a discussion of interior point techniques, including projective and affine potential reduction, primal and dual affine scaling, and path following algorithms. Also covered is the theory and solution of the linear complementarity problem using both the complementary pivot algorithm and interior point routines. A feature of the book is its early and extensive development and use of duality theory. Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming |
Beschreibung: | 1 Online-Ressource (XII, 498 p) |
ISBN: | 9781461334347 9781461334361 |
ISSN: | 1384-6485 |
DOI: | 10.1007/978-1-4613-3434-7 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Panik, Michael J. |
author_facet | Panik, Michael J. |
author_role | aut |
author_sort | Panik, Michael J. |
author_variant | m j p mj mjp |
building | Verbundindex |
bvnumber | BV042420635 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.6 |
dewey-search | 519.6 |
dewey-sort | 3519.6 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4613-3434-7 |
format | Electronic eBook |
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id | DE-604.BV042420635 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:07Z |
institution | BVB |
isbn | 9781461334347 9781461334361 |
issn | 1384-6485 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856052 |
oclc_num | 879623227 |
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physical | 1 Online-Ressource (XII, 498 p) |
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publishDate | 1996 |
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publisher | Springer US |
record_format | marc |
series2 | Applied Optimization |
spelling | Panik, Michael J. Verfasser aut Linear Programming: Mathematics, Theory and Algorithms edited by Michael J. Panik Boston, MA Springer US 1996 1 Online-Ressource (XII, 498 p) txt rdacontent c rdamedia cr rdacarrier Applied Optimization 2 1384-6485 Linear Programming provides an in-depth look at simplex based as well as the more recent interior point techniques for solving linear programming problems. Starting with a review of the mathematical underpinnings of these approaches, the text provides details of the primal and dual simplex methods with the primal-dual, composite, and steepest edge simplex algorithms. This then is followed by a discussion of interior point techniques, including projective and affine potential reduction, primal and dual affine scaling, and path following algorithms. Also covered is the theory and solution of the linear complementarity problem using both the complementary pivot algorithm and interior point routines. A feature of the book is its early and extensive development and use of duality theory. Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming Mathematics Mathematical optimization Economics Optimization Operations Research/Decision Theory Economic Theory Game Theory, Economics, Social and Behav. Sciences Mathematik Wirtschaft Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Lineare Optimierung (DE-588)4035816-1 s 1\p DE-604 https://doi.org/10.1007/978-1-4613-3434-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Panik, Michael J. Linear Programming: Mathematics, Theory and Algorithms Mathematics Mathematical optimization Economics Optimization Operations Research/Decision Theory Economic Theory Game Theory, Economics, Social and Behav. Sciences Mathematik Wirtschaft Lineare Optimierung (DE-588)4035816-1 gnd |
subject_GND | (DE-588)4035816-1 |
title | Linear Programming: Mathematics, Theory and Algorithms |
title_auth | Linear Programming: Mathematics, Theory and Algorithms |
title_exact_search | Linear Programming: Mathematics, Theory and Algorithms |
title_full | Linear Programming: Mathematics, Theory and Algorithms edited by Michael J. Panik |
title_fullStr | Linear Programming: Mathematics, Theory and Algorithms edited by Michael J. Panik |
title_full_unstemmed | Linear Programming: Mathematics, Theory and Algorithms edited by Michael J. Panik |
title_short | Linear Programming: Mathematics, Theory and Algorithms |
title_sort | linear programming mathematics theory and algorithms |
topic | Mathematics Mathematical optimization Economics Optimization Operations Research/Decision Theory Economic Theory Game Theory, Economics, Social and Behav. Sciences Mathematik Wirtschaft Lineare Optimierung (DE-588)4035816-1 gnd |
topic_facet | Mathematics Mathematical optimization Economics Optimization Operations Research/Decision Theory Economic Theory Game Theory, Economics, Social and Behav. Sciences Mathematik Wirtschaft Lineare Optimierung |
url | https://doi.org/10.1007/978-1-4613-3434-7 |
work_keys_str_mv | AT panikmichaelj linearprogrammingmathematicstheoryandalgorithms |