Answered: Distance between Pairs of Groves 1 2 3…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

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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