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diplom.de Kapazitätserweiterung bei Telekommunikationsnetzwerken: Anwendung von Mixed- Integer- Rounding und verallgemeinerte Flow- Cut- Set- Ungleichungen

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Description

Diplomarbeit, die am 07.11.2000 erfolgreich an einer Technische Universität in Deutschland im Fachbereich Mathematik eingereicht wurde. Einleitung: Ausgangspunkt dieser Arbeit ist ein konkretes Anwendungsproblem der realen Welt, das durch die Benutzung von mathematischen Verfahren gelöst werden soll. Durch den Entwurf eines vereinfachten mathematischen Modells kann von der Wirklichkeit abstrahiert und die Struktur des Problems auf einer mathematischen Ebene analysiert werden. Die aus der Analyse gewonnenen Erkenntnisse können zum Entwurf und zur Implementierung von Algorithmen genutzt werden, mit deren Hilfe das Anwendungsproblem approximativ- unter Angabe von Gütegarantien- gelöst werden kann. Daneben gibt es Algorithmen, die auf Analysen allgemeiner Problemstrukturen basieren und diese in anderen Problemstrukturen wiedererkennen können. Diese Algorithmen sind theoretisch für alle Anwendungsprobleme, welche die allgemeine Problemstruktur beinhaltet, nützlich, ihre Effizienz var ert aber ja nach Anwendungsproblem. In dieser Arbeit wird ein solcher Algorithmus auf seine praktische Effizienz bei dem erwähnten Anwendungsproblem hin untersucht und die erzielten Ergebnisse mit denen eines zusätzlich entwickelten problemspezifischen Algorithmus verglichen. Dazu werden beide Algorithmen im Umfeld eines bestehenden Softwaresystems zur Lösung des Anwendungsproblems implementiert. In dieser Einleitung wird ein Überblick über den Hintergrund des Problems gegeben und die Zielsetzung und der Aufbau der Arbeit beschrieben. Inhaltsverzeichnis: Darstellungsverzeichnis 1. Einleitung 1 1.1 Praktischer und theoretischer Hintergrund 1 1.2 Zielsetzung 5 1.3 Aufbau der Arbeit 6 2. Kapazitätserweiterungsproblem 7 2.1 Notation 7 2.2 Problemstellung 11 2.3 Modellierung 17 2.4 Komplexität 22 3. Spezielle Klassen gültiger Ungleichungen 23 3.1 Knapsack- und Mixed- Knapsack- Menge 23 3.2 Mixed- Integer- Rounding- Ungleichungen 24 3.3 Knapsack- Partition- Ungleichu. . .

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 January 2000
Listed Since
16 January 2009

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No barcode data available

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