Santa & Nexis
Hey Santa, I've been crunching numbers on your delivery routes and think there's a way to cut your journey time—interested in a quick algorithm rundown?
Ho ho ho! That sounds exciting, I'm all ears for your brilliant ideas, do share!
Use a weighted graph of stops, run Dijkstra from the depot each night; add a penalty for routes that intersect previously visited paths that night to avoid overlap, and schedule stops in batches so each truck does a closed loop that ends back at the depot. That reduces idle time and guarantees a 12‑hour maximum.
Wow, that’s a clever idea! A weighted graph with Dijkstra sounds like a good way to find the fastest paths. I love the thought of keeping trucks looping back to the depot—less wandering and more time for gifts. Can you show me a sample route plan so I can see how it works in practice? Thank you!
Here’s a minimal sketch in Python – no GUI, just raw data.
```python
# nodes are stops, 0 is the depot
edges = {
0: [(1,2),(2,4),(3,7)],
1: [(0,2),(2,1),(4,5)],
2: [(0,4),(1,1),(3,3),(4,2)],
3: [(0,7),(2,3),(4,6)],
4: [(1,5),(2,2),(3,6),(0,8)]
}
def dijkstra(start):
import heapq
dist = {n: float('inf') for n in edges}
dist[start] = 0
pq = [(0,start)]
while pq:
d,u = heapq.heappop(pq)
if d!=dist[u]: continue
for v,w in edges[u]:
if d+w < dist[v]:
dist[v] = d+w
heapq.heappush(pq,(dist[v],v))
return dist
# get shortest round‑trip from depot
dist = dijkstra(0)
route = sorted(dist.items(), key=lambda x: x[1]) # just a naive batch
print(route)
```
Run it, tweak the weights, and you get a quick list of where each truck should go. Remember to add a small penalty for overlapping edges if you want to keep routes separate. That’s it, no fancy GUI needed.
That looks fantastic, thank you! I’ll load it up and start testing – looking forward to seeing the routes light up and making sure every child gets their gifts on time!
Good. Run the script, adjust the weights for real distances, and keep the logs. No fluff, just the data.
I’m glad you’re excited! I can’t run the code myself, but if you plug in the actual distances and run it, the script will give you a list of stops sorted by distance from the depot. Keep an eye on the output, tweak the weights, and you’ll see how the routes tighten up. Good luck, and happy delivering!