Lineare Programmierung und Erweiterungen
Language: German
Published by Springer, 2012
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
US$ 63.41
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Druck auf Anfrage Neuware - Printed after ordering - 1. Der Begriff der linearen Programmierung.- 1-1 Einführung.- 1-2 Das Problem der Programmierung.- 1-3 Definition der linearen Programmierung.- 1-4 Klassifizierung von Programmierungsproblemen.- 1-5 Mathematische Programmierung und Automation.- 2. Ursprünge und Einwirkungen.- 2-1 Einflüsse des zweiten Weltkrieges.- 2-2 Wirtschaftsmodelle und lineare Programmierung.- 2-3 Mathematische Ursprünge und Entwicklungen.- 2-4 Industrielle Anwendungen der linearen Programmierung.- 3. Aufstellung eines linearen Programmierungsmodells.- 3-1 Grundbegriffe.- 3-2 Konstruktion des Modells.- 3-3 Ein Transportproblem.- 3-4 Beispiele von Mischungsproblemen.- 3-5 Ein Problem der Mischung von Produkten.- 3-6 Ein einfaches Lagerhaltungsproblem.- 3-7 Ausbildung auf der Arbeitsstätte.- 3-8 Das mathematische Problem der linearen Programmierung.- 3-9 Probleme.- 4. Lineare Gleichungs- und Ungleichungssysteme.- 4-1 Systeme von Gleichungen mit der gleichen Lösungsmenge.- 4-2 Kanonische Systeme.- 4-3 Lineare Ungleichungen.- 4-4 Die Eliminationsmethode von FOURIER und MOTZKIN.- 4-5 Lineare Programme in Ungleichungsform.- 4-6 Probleme.- 5. Die Simplexmethode.- 5-1 Der Simplexalgorithmus.- 5-2 Die zwei Phasen der Simplexmethode.- 5-3 Probleme.- 6. Beweis des Simplexalgorithmus und des Dualitätssatzes.- 6-1 Induktiver Beweis des Simplexalgorithmus.- 6-2 Äquivalente duale Formen.- 6-3 Beweis des Dualitätssatzes.- 6-4 Fundamentalsätze über Dualität.- 6-5 Multiplikatoren von LAGRANGE.- 6-6 Probleme.- 7. Die Geometrie linearer Programme.- 7-1 Konvexe Gebiete.- 7-2 Die Simplexmethode als steilster Anstieg entlang der Kanten.- 7-3 Die Simplexinterpretation der Simplexmethode.- 7-4 Probleme.- 8. Pivot-Operationen, Vektorräume, Matrizen und ihre Inversen.- 8-1 Theorie der Pivots.- 8-2Vektorräume.- 8-3 Matrizen.- 8-4 Die Inverse einer Matrix.- 8-5 Der Simplexalgorithmus in Matrizenform.- 8-6 Probleme.- 9. Die Simplexmethode mit Benutzung von Multiplikatoren.- 9-1 Ein Beispiel mit Multiplikatoren.- 9-2 Die allgemeine Methode mit Benutzung von Multiplikatoren.- 9-3 Rechenregeln bei Benutzung von Multiplikatoren.- 9-4 Probleme.- 10. Endlichkeit der Simplexmethode bei Störung.- 10-1 Die Möglichkeit des Kreisens beim Simplexalgorithmus.- 10-2 Störung der Konstanten zur Vermeidung von Entartung.- 10-3 Probleme.- 11. Varianten des Simplexalgorithmus.- 11-1 Komplementäre primale und duale Basen.- 11-2 Die duale Simplexmethode.- 11-3 Ein selbstdualer parametrischer Algorithmus.- 11-4 Der primale-duale Algorithmus.- 11-5 Ein anderes Kriterium für Phase I.- 11-6 Probleme.- 12. Der Preisbegriff in der linearen Programmierung.- 12-1 Der Preismechanismus der Simplexmethode.- 12-2 Beispiele dualer Probleme.- 12-3 Die Vorzeichenvereinbarung bei Preisen.- 12-4 Erläuterung der Sensitivitätsanalyse.- 12-5 Probleme.- 13. Spiele und lineare Programme.- 13-1 Matrixspiele.- 13-2 Äquivalenz von Matrixspielen und linearen Programmen und der Minimaxsatz.- 13-3 Konstruktive Lösung eines Matrixspiels (ein anderer Beweis des Minimaxsatzes).- 13-4 Probleme.- 14. Das klassische Transportproblem.- 14-1 Geschichtliehe Übersieht.- 14-2 Elementare Transporttheorie.- 14-3 Algorithmus für das Transportproblem.- 14-4 Probleme.- 15. Optimale Zuordnung und andere Zuteilungsprobleme.- 15-1 Das Problem der optimalen Zuordnung.- 15-2 Zuordnung mit Überschuß und Defizit.- 15-3 Feste Werte und unzulässige Quadrate.- 15-4 Probleme.- 16. Das Umladeproblem.- 16-1 Eine äquivalente Formulierung des Modells.- 16-2 Die Äquivalenz von Transportproblemen und Umladeproblemen.- 16-3Lösung eines Umladeproblems durch die Simplexmethode.- 16-4 Probleme.- 17. Netzwerke und das Umladeproblem.- 17-1 Graphen und Bäume.- 17-2 Interpretation der Simplexmethode mit Hilfe des Netzwerks.- 17-3 Das Problem des kürzesten Weges.- 17-4 Probleme.- 18. Variablen mit oberen Grenzen.- 18-1 Der allgemeine Fall.- 18-2 Das Transportproblem mit beschränkten Variablen und Verallgemeinerungen.- 18.…
Seller Inventory # 9783642873638
- Title
- Lineare Programmierung und Erweiterungen
- Author
- G. B. Dantzig
- Publisher
- Springer
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- German
- ISBN 10
- 3642873634
- ISBN 13
- 9783642873638
- Item weight
- 1,089 grams
- Dimensions
- 235x155x40 mm
"Synopsis" may belong to another edition of this title.
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| Item | 7 to 10 business days | 5 to 7 business days |
|---|---|---|
| First item | US$ 47.71 | US$ 65.01 |
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