Darstellung und quantitative Behandlung stochastischer Abläufe mit Hilfe graphentheoretischer Methoden unter besonderer Berücksichtigung ihrer Anwendbarkeit auf spezielle Probleme der Unternehmensforschung

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Table of Contents

1. Einleitung.- 2. Die Graphentheorie als Grundlage der Netzplantechnik.- 2.1 Graphische Darstellung linearer Gleichungssysteme.- 2.2 Verfahren zur Reduktion von Flußgraphen.- 3. Netzwerkverfahren zur Analyse shastischer Abläufe.- 3.1 Ansätze von Eisner und Elmaghraby.- 3.2 Das Verfahren GERT.- 3.2.1 Darstellungselemente im Netzwerk.- 3.2.2 Auswertung des Netzwerkes.- 3.3 Untersuchung einiger Beispiele.- 3.3.1 Darstellung des Bernoulli-Versuches.- 3.3.2 Erweitertes Beispiel mit zwei Kantenparametern.- 3.3.3 Das »gap Problem«.- 3.4 Wiederholvorgänge und deren Analyse.- 3.4.1 Der Zeitparameter als Basis des Zählmechanismus.- 3.4.2 Kontrolle der Realisationshäufigkeit von Netzwerkelementen.- 4. Shastische Netzwerke und Markov-Prozesse.- 4.1 Absorbierende Markov-Ketten.- 4.2 Ergodische Markov-Ketten.- 4.2.1 Ermittlung wichtiger Kenngrößen.- 4.2.2 Erlösfunktion als Kantenparameter.- 5. Netzplanmäßige Erfassung von Warteschlangenmodellen.- 5.1 Das »machine-repairmen problem«.- 5.1.1 Bestimmung der Kantenparameter.- 5.1.2 Erweiterung des Netzwerkes.- 5.1.3 Netzwerk für k-Erlang Bedienungszeiten.- 5.2 Netzwerkmodell bei sequentieller Bedienung.- 6. Darstellung und Analyse von R&D-Projekten.- 6.1 Allgemeine Betrachtungen zum Ablauf.- 6.2 Untersuchungen an Hand von Beispielen.- 6.2.1 Problemdefinition als Phase I.- 6.2.2 Problemlösung als Phase II.- 7. Netzwerkmodelle und Prüfpläne.- 7.1 Einfachpläne bei Prüfung von Losen.- 7.2 Doppelprüfpläne bei Prüfung von Losen.- 7.3 Netzwerkmodell für den Dodge-Plan.- 8. Verwendete Simulationsprogramme.- 9. Zusammenfassung.- 10. Literaturverzeichnis.

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