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Modelle und Verfahren zur Bestimmung betrieblicher und innerbetrieblicher Standorte — Ein Überblick

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Zusammenfassung

Es wird ein Überblick über die in der Literatur behandelten Modelle zur Bestimmung von betrieblichen und innerbetrieblichen Standorten gegeben. Für die meisten Modelle werden exakte und/oder heuristische Lösungsverfahren beschrieben.

Summary

This paper presents a survey of plant-location and plant-layout models discussed in the literature. For most of the models exact and/or heuristic solution methods are described.

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Abbreviations

ℝ:

Menge der reellen Zahlen

+ :

Menge der nichtnegativen reellen Zahlen

+ :

Menge der nichtnegativen ganzen Zahlen

GE:

Geldeinheiten

LE:

Längeneinheiten

ME:

Mengeneinheiten

N=(V,E,c,t) :

Netzwerk

V :

Knotenmenge

E :

Kantenoder Pfeilmenge

c :

Kantenbewertung (zumeist Transportoder Lagerhaltungskosten)

t :

Knotenbewertung: ME, die zu (von) einem Ort (weg)transportiert werden müssen (Kap. 3 u. 4.1) bzw. Kosten, die pro LE für die notwendigen Transporte entstehen (Kap. 4.2)

d(x,y), d ij :

kürzeste Entfernung zwischen zwei Punktenx undy (bzw.i undj)

p :

zu bestimmende Anzahl an Standorten (Kap. 3 u. 4.1); Anzahl der neu zu installierenden Maschinen (Kap. 4.2)

¯p :

Anzahl der potentiellen Standorte

f :

Fixkosten für potentielle Standorte

b :

Kapazitätsbeschränkung für potentielle Standorte

bm :

Anzahl der Orte, von denen eine Unternehmung Rohstoffe bezieht (Kap. 3)

n :

Anzahl der Orte, an denen eine Unternehmung Produkte absetzt (Kap. 3); Anzahl der Orte, von denen eine Unternehmung Rohstoffe bezieht bzw. an denen sie Produkte absetzt (Kap. 4.1); Anzahl der alten Maschinen (Kap. 4.2)

z :

Zielfunktionswert

JE:

The Journal of Industrial Engineering

MS:

Management Science

NR:

Naval Research Logistics Quarterly

OR:

Operations Research

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Domschke, W. Modelle und Verfahren zur Bestimmung betrieblicher und innerbetrieblicher Standorte — Ein Überblick. Zeitschrift für Operations Research 19, B13–B41 (1975). https://doi.org/10.1007/BF01963926

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