Kombinatorische Optimierung: Theorie und Algorithmen

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2008 Hardcover Good Das Lehrbuch ist die deutsche ?bersetzung der 4., wesentlich erweiterten Auflage des Titels ?Combinatorial Optimization ? Theory and Algorithms". Es gibt ... den neuesten Stand der kombinatorischen Optimierung wieder und liefert vornehmlich theoretische Resultate und Algorithmen mit beweisbar guten Laufzeiten und Ergebnissen, jedoch keine Heuristiken. Enthalten sind vollst?ndige Beweise, auch f?r viele tiefe und neue Resultate, von denen einige bisher in der Lehrbuchliteratur noch nicht erschienen sind. Mit ?bungen und umfassendem Literaturverzeichnis. *****PLEASE NOTE: This item is shipping from an authorized seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Softcover Good Kombinatorische Optimierung: Theorie und Algorithmen (Springer-Lehrbuch Maste... *****PLEASE NOTE: This item is shipping from an authorized seller in Europe. In ... the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Overview

Dieses umfassende Lehrbuch über kombinatorische Optimierung ist die deutsche Übersetzung der vierten, wesentlich erweiterten Auflage des Buches „Combinatorial Optimization – Theory and Algorithms", dessen erste Auflage im Jahr 2000 erschienen ist. Es ist aus verschiedenen Vorlesungen über kombinatorische Optimierung und Spezialvorlesungen für Fortgeschrittene hervorgegangen, die die Autoren an der Universität Bonn gehalten haben.

Das Buch enthält vornehmlich theoretische Resultate und detaillierte Algorithmen mit beweisbar guten Laufzeiten und Ergebnissen, aber keine Heuristiken. Es werden vollständige Beweise, auch für viele tiefe und neue Resultate gegeben, von denen einige bisher in der Lehrbuchliteratur noch nicht erschienen sind. Ferner enthält das Buch viele Übungsaufgaben und ein umfassendes Literaturverzeichnis. Es gibt den neuesten Stand der kombinatorischen Optimierung wieder.

Aus den Besprechungen der englischen Auflagen:

"This book on combinatorial optimization is a beautiful example of the ideal textbook."

Operations Research Letters 33 (2005), p.216-217

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Product Details

  • ISBN-13: 9783540769187
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 9/11/2008
  • Language: German
  • Series: Springer-Lehrbuch Masterclass Series
  • Pages: 695
  • Product dimensions: 6.10 (w) x 9.30 (h) x 1.50 (d)

Meet the Author

Bernhard Korte ist Professor an der Universität Bonn und leitet seit 1987 das Forschungsinstitut für Diskrete Mathematik in Bonn. Er befasst sich vor allem mit kombinatorischer Optimierung. Im von ihm gegründeten Arithmeum“ in Bonn sind eine Vielzahl historischer Rechenmaschinen zu sehen. Bernhard Korte war Alexander von Humboldt Fellow. 1997 erhielt er den Staatspreis des Landes Nordrhein-Westfalen und 2002 das Große Bundesverdienstkreuz. Des weiteren ist er Träger des großen Verdienstordens der Republik Italien und Honorarprofessor der Academia Sinica in Peking und der PUC (päpstliche katholische Universität) in Rio de Janeiro. Er ist Ehrendoktor an der Universität La Sapienza in Rohm und Mitglied der Nationalen Akademie der Wissenschaften Leopoldina in Halle an der Saale, der Nordrhein-Westfälischen Akademie der Wissenschaften und der Künste in Düsseldorf und der Deutschen Akademie der Technikwissenschaften (acatech). Jens Vygen ist Professor an der Universität Bonn. Seine Arbeitsgebiete sind kombinatorische Optimierung und Chip Design.

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Table of Contents

1 Einführung.- 2 Graphen.- 3 Lineare Optimierung.- 4 Algorithmen für lineare Optimierung.- 5 Ganzzahlige Optimierung.- 6 Aufspannende Bäume und Arboreszenzen.- 7 Kürzeste Wege.- 8 Netzwerkflüsse.- 9 Flüsse mit minimalen Kosten.- 10 Maximale Matchings.- 11 Gewichtete Matchings.- 12 b-Matchings und T –Joins.- 13 Matroide.- 14 Verallgemeinerungen von Matroiden.- 15 NP-Vollständigkeit.- 16 Approximationsalgorithmen.- 17 Das Knapsack-Problem.- 18 Bin-Packing.- 19 Mehrgüterflüsse und kantendisjunkte Wege.- 20 Netzwerk-Design-Probleme.- 21 Das Traveling-Salesman-Problem.- 22 Standortprobleme.- Symbolverzeichnis.- Personenverzeichnis.- Stichwortverzeichnis.

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