70 70 Amsterdam Berlin -10 30 20 2 Paris 20 20 20 -10 7 Madrid 25 16 50 40 55 50 30 30 30 3 Munich 50 30 5 Milan 30 -50 50 -20 20 Barcelona

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 1P: The file P14_01.xlsx contains data on 100 consumers who drink beer. Some of them prefer light beer,...
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NTS is a Swiss intermodal operator located in Lausanne. When customers need to transport goods between origin and destination, NTS supplies them with one or more empty containers in which the goods can be loaded.
Upon arrival at the destination, the goods are unloaded, and the empty containers must be transported to the pickup point for new customers. Therefore, NTS management needs to reallocate empty containers periodically (every week). The company's focus is on the transportation activity of empty containers, which is very expensive (almost 35% of the total operational costs).

In May 2023, several empty containers, totaling 20 containers, need to be reallocated among terminals in Amsterdam, Berlin, Munich, Paris, Milan, Barcelona, and Madrid. The available or requested number of empty containers at various terminals is reported, along with the transportation costs (in euros per container) as seen in Figure 1.

Determine how to solve the problem with the goal of minimizing transportation costs.
Note: "+" denotes supply nodes, and "-" denotes demand nodes.
Arrows depict the flow of material and costs.
 
70
70
Amsterdam
Berlin
-10
30
20
2
Paris
20
20
20
-10
7
Madrid
25
16
50
40
55
50
30
30
30
3
Munich
50
30
5
Milan
30
-50
50
-20
20
Barcelona
Transcribed Image Text:70 70 Amsterdam Berlin -10 30 20 2 Paris 20 20 20 -10 7 Madrid 25 16 50 40 55 50 30 30 30 3 Munich 50 30 5 Milan 30 -50 50 -20 20 Barcelona
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