Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Network Diagram, Shortest path and Minimum Spanning Tree
Application Example using RStudio


Case Background
The Wirehouse Lumber Company will soon begin logging eight groves of trees in the same general area. Therefore, it
must develop a system of dirt roads that makes each grove accessible from every other grove. The distance (in miles)
between every pair of groves is as follows:

 

 

Management now wishes to determine between which pairs of groves the roads should be constructed to connect all
groves with a minimum total length of road.
Requirement using RStudio:
(a) Create the Network Model
(b) Determine the shortest path from 1 to 8
(c) Generate the minimum spanning tree

 

Distance between Pairs of Groves
1
2
3 4 5
6
7
8
1.3 2.1
0.9
0.7
1.8
2.0
1.5
|
1.3
2
3
2.1
0.9
1.8
2.6
1.2
1.7
2.6
2.5
2.3
1.9
1.1
1.0
0.9
-
Grove
4
0.9
1.8
2.6
0.7
1.6
1.5
0.9
-
5
0.7
1.2
0.9
1.7
2.5
0.7
1.6
1.1
0.8
1.0
-
6
1.8
2.6
0.9
0.6
-
0.6
7
2.0
1.5
2.3
1.9
1.5
1.1
0.5
-
8
1.1
1.0
0.9
0.8
1.0
0.5
-
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Transcribed Image Text:Distance between Pairs of Groves 1 2 3 4 5 6 7 8 1.3 2.1 0.9 0.7 1.8 2.0 1.5 | 1.3 2 3 2.1 0.9 1.8 2.6 1.2 1.7 2.6 2.5 2.3 1.9 1.1 1.0 0.9 - Grove 4 0.9 1.8 2.6 0.7 1.6 1.5 0.9 - 5 0.7 1.2 0.9 1.7 2.5 0.7 1.6 1.1 0.8 1.0 - 6 1.8 2.6 0.9 0.6 - 0.6 7 2.0 1.5 2.3 1.9 1.5 1.1 0.5 - 8 1.1 1.0 0.9 0.8 1.0 0.5 -
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