Operations Research - Grundlagen at TU Berlin

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Operations Research 

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P.M.S. Blackett

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Hamilton

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Fulkerson

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Grötschel

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Cook

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Kantorovich

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 Lineare Optimierung

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Ablauf des Planungsprozesses


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zulässiger Bereich

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Exemplary flashcards for Operations Research - Grundlagen at the TU Berlin on StudySmarter:

Operations Research - Grundlagen

Operations Research 

Vorbereitung von Entscheidungen mit Hilfe mathematischer Methoden im Rahmen eines Planungsprozesses.


Operations Research - Grundlagen

P.M.S. Blackett

Berater der Luftabwehr

*18.11.1897 (London) †13.07.1974 (London)

Gründete 1941 die Abteilung „Operational Research“ bei der britischen Luftabwehr


Operations Research - Grundlagen

Hamilton

...

Operations Research - Grundlagen

Dantzig

*08.11.1914 (Portland) †13.05.2005 (Palo Alto)

Vater der Linearen Optimierung

Simplex-Algorithmus

Operations Research - Grundlagen

Fulkerson

...

Operations Research - Grundlagen

Grötschel

...

Operations Research - Grundlagen

Cook

... 

Operations Research - Grundlagen

Morse

*06.08.1903 (Shreveport) †05.09.1985 (Concord)

Veröffentlichte das erste Buch über Operations Research in den USA

Setzte Meilensteine in der Gründung und Entwicklung des Operations Research

Führte in der Physik das sogenannte Morse-Potential ein


Operations Research - Grundlagen

Kantorovich

*19.01.1912 (St. Petersburg), †07.04.1986 (Moskau)

Vater des OR im Ost-Block

Viele Beiträge zur liniaren und dynamischen Programmierung

Hauptwerk:  „The mathematical method of production planning and organization“


Operations Research - Grundlagen

 Lineare Optimierung

die Aufgabe, eine lineare (Ziel-)Funktion unter der Beachtung von linearen Nebenbedingungen (= Restriktionen) zu maximieren (oder minimieren).


Operations Research - Grundlagen

Ablauf des Planungsprozesses


1. Erkennen und Analysieren eines Problems

2. Bestimmen von Zielen und Handlungsmöglichkeiten - min/max

3. Mathematisches Modell - welche Ressourcen stehen zur Verfügung

4. Datenbeschaffung - a,b,c beschaffen

5. Lösungsfindung - 

6. Bewerten der Lösung - Ergibt das Ergebnis Sinn

Operations Research - Grundlagen

zulässiger Bereich

Die Menge der Punkte, die die Nebenbedingungen erfüllen, heißt zulässiger Bereich. (Allgemeine Form) 


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Grundlagen RECHT

Operations Research / Entscheidungstheorie

Operations Research

Operation Research

Operation Research selbsttest

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