Route Optimization Problem for a Logistics Company The logistics company XpreSS operates with 9 distribution centers strategically located around Nacional level. The company must make daily deliveries of products from these centers of distribution to different destinations. Each connection between two distribution centers has an associated a transportation cost. 1.- Distribution Centers (Nodes): - Arica, Buin, Calama, Dichato, El Quisco, Frutillar, Galvarino, Huasco, Illapel. 2.- Transportation Costs (in monetary units): - Transportation cost from Arica to Buin: $30 - Transportation cost from Arica to Calama: $25 - Transportation cost from Arica to Dichato: $40 - Transportation cost from Buin to Calama: $20 - Transportation cost from Buin to Dichato: $35 - Transportation cost from Buin to El Quisco: $45 - Transportation cost from Calama to Dichato: $15 - Transportation cost from Calama to El Quisco: $30 - Transportation cost from Calama to Frutillar: $50 - Transportation cost from Dichato to El Quisco: $25 - Transportation cost from Dichato to Frutillar: $30 - Transportation cost from Dichato to Galvarino: $40 - Transportation cost from El Quisco to Frutillar: $20 - Transportation cost from El Quisco to Galvarino: $35 - Transportation cost from El Quisco to Huasco: $40 - Transportation cost from Frutillar to Galvarino: $15 - Transportation cost from Frutillar to Huasco: $25 - Transportation cost from Frutillar to Illapel: $30 - Transportation cost from Galvarino to Huasco: $20 - Transportation cost from Galvarino to Illapel: $30 - Transportation cost from Huasco to Illapel: $25 Minimize the total transportation cost by finding optimal routes from each transportation center distribution to others. Each distribution center must be connected to at least one other center (it cannot be isolated). Represent the problem using a graph in Python with the networkx library, which Model the network of distribution centers and their connection
Route Optimization Problem for a Logistics Company
The logistics company XpreSS operates with 9 distribution centers strategically located around
Nacional level. The company must make daily deliveries of products from these centers of
distribution to different destinations. Each connection between two distribution centers has an associated
a transportation cost.
1.- Distribution Centers (Nodes):
- Arica, Buin, Calama, Dichato, El Quisco, Frutillar, Galvarino, Huasco, Illapel.
2.- Transportation Costs (in monetary units):
- Transportation cost from Arica to Buin: $30
- Transportation cost from Arica to Calama: $25
- Transportation cost from Arica to Dichato: $40
- Transportation cost from Buin to Calama: $20
- Transportation cost from Buin to Dichato: $35
- Transportation cost from Buin to El Quisco: $45
- Transportation cost from Calama to Dichato: $15
- Transportation cost from Calama to El Quisco: $30
- Transportation cost from Calama to Frutillar: $50
- Transportation cost from Dichato to El Quisco: $25
- Transportation cost from Dichato to Frutillar: $30
- Transportation cost from Dichato to Galvarino: $40
- Transportation cost from El Quisco to Frutillar: $20
- Transportation cost from El Quisco to Galvarino: $35
- Transportation cost from El Quisco to Huasco: $40
- Transportation cost from Frutillar to Galvarino: $15
- Transportation cost from Frutillar to Huasco: $25
- Transportation cost from Frutillar to Illapel: $30
- Transportation cost from Galvarino to Huasco: $20
- Transportation cost from Galvarino to Illapel: $30
- Transportation cost from Huasco to Illapel: $25
Minimize the total transportation cost by finding optimal routes from each transportation center
distribution to others.
Each distribution center must be connected to at least one other center (it cannot be
isolated).
Represent the problem using a graph in Python with the networkx library, which
Model the network of distribution centers and their connections.
Use a route optimization
Floyd-Warshall) to find the optimal solution.
Add nodes for each distribution center.
Add weighted edges to represent roads and their costs.
Use the networkx package to view the graph. Mark the routes in a different color
shorter ones found for better visualization.
Show the minimum total cost to transport packages to all destinations.
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