The company ABC recently purchased 4 new buildings for their five different business divisions. Below, the distance
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Question:
The company ABC recently purchased 4 new buildings for their five different business divisions. Below, the distance between 4 buildings and the relationships between businesses are provided. (Relationships between departments are measured by the amount of materials shipped between each other.
Relationships between departments
Departments | A | B | C | D |
A | 0 | 100 | 150 | 100 |
B | 150 | 0 | 100 | 250 |
C | 100 | 120 | 0 | 100 |
D | 100 | 250 | 100 | 0 |
Distance between Buildings
Buildings | 1 | 2 | 3 | 4 |
1 | 0 | 200 | 250 | 300 |
2 | 200 | 0 | 300 | 150 |
3 | 250 | 300 | 0 | 100 |
4 | 300 | 150 | 100 | 0 |
Initial assignment is proposed as:
Building/Dept | 1 | 2 | 3 | 4 |
A | 1 | |||
B | 1 | |||
C | 1 | |||
D | 1 |
- Calculate the cost of initial assignment
- Improve the assignment using two iterations.
- Calculate the lower-bound
- Calculate the strong lower-bound
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