Route Optimization Problem for a Logistics Company A logistics company operates 9 strategically located distribution centers. The company must make daily deliveries of products from these distribution centers to different destinations. Each connection between two distribution centers has a transportation cost associated with it. Problem data: Distribution centers (nodes): - A, B, C, D, E, F, G, H, I Transportation costs (in monetary units): - A to B: $30 - A to C: $25 - A to D: $40 - B to C: $20 - B to D: $35 - B to E: $45 - C to D: $15 - C to E: $30 - C to F: $50 - D to E: $25 - D to F: $30 - D to G: $40 - E to F: $20 - E to G: $35 - E to H: $40 - F to G: $15 - F to H: $25 - F to I: $30 - G to H: $20 - G to I: $30 - H to I: $25 Objective: Minimize total transportation cost by finding the optimal routes from each distribution center to the others. Constraints: Each distribution center must be connected to at least one other center (cannot be isolated). Questions: 1. what are the optimal routes that minimize the total transportation cost for each distribution center? 2. What is the minimum total transportation cost?
Route Optimization Problem for a Logistics Company A logistics company operates 9 strategically located distribution centers. The company must make daily deliveries of products from these distribution centers to different destinations. Each connection between two distribution centers has a transportation cost associated with it. Problem data: Distribution centers (nodes): - A, B, C, D, E, F, G, H, I Transportation costs (in monetary units): - A to B: $30 - A to C: $25 - A to D: $40 - B to C: $20 - B to D: $35 - B to E: $45 - C to D: $15 - C to E: $30 - C to F: $50 - D to E: $25 - D to F: $30 - D to G: $40 - E to F: $20 - E to G: $35 - E to H: $40 - F to G: $15 - F to H: $25 - F to I: $30 - G to H: $20 - G to I: $30 - H to I: $25 Objective: Minimize total transportation cost by finding the optimal routes from each distribution center to the others. Constraints: Each distribution center must be connected to at least one other center (cannot be isolated). Questions: 1. what are the optimal routes that minimize the total transportation cost for each distribution center? 2. What is the minimum total transportation cost?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Route Optimization Problem for a Logistics Company
A logistics company operates 9 strategically located distribution centers. The company must make daily deliveries of products from these distribution centers to different destinations. Each connection between two distribution centers has a transportation cost associated with it.
Problem data:
Distribution centers (nodes):
- A, B, C, D, E, F, G, H, I
Transportation costs (in monetary units):
- A to B: $30
- A to C: $25
- A to D: $40
- B to C: $20
- B to D: $35
- B to E: $45
- C to D: $15
- C to E: $30
- C to F: $50
- D to E: $25
- D to F: $30
- D to G: $40
- E to F: $20
- E to G: $35
- E to H: $40
- F to G: $15
- F to H: $25
- F to I: $30
- G to H: $20
- G to I: $30
- H to I: $25
Objective: Minimize total transportation cost by finding the optimal routes from each distribution center to the others.
Constraints: Each distribution center must be connected to at least one other center (cannot be isolated).
Questions:
1. what are the optimal routes that minimize the total transportation cost for each distribution center?
2. What is the minimum total transportation cost?
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