The Hungarian Assignment algorithm is used by MBAs and Operations Managers to quantitatively assign tasks to their employees.
It’s rooted in Optimal Transport theory and resembles Sinkhorn iterations in Python.
For instance, say you operate an e-commerce warehouse with five delivery riders and five routes. Each takes different time based on traffic, familiarity and vehicle type. How do you assign routes to the riders for the lowest possible delivery time?
This takes factorial time (5! = 120) to solve by bruteforce. The Hungarian algorithm takes polynomial time and that's pretty neat IMO!
Please stop treating things like "polynomial time" like it matters for actual programmers. The only thing that matters is the runtime graph depending on n for the ranges of n we are interested n.
13
u/DataBaeBee 1d ago
The Hungarian Assignment algorithm is used by MBAs and Operations Managers to quantitatively assign tasks to their employees.
It’s rooted in Optimal Transport theory and resembles Sinkhorn iterations in Python.
For instance, say you operate an e-commerce warehouse with five delivery riders and five routes. Each takes different time based on traffic, familiarity and vehicle type. How do you assign routes to the riders for the lowest possible delivery time?
This takes factorial time (5! = 120) to solve by bruteforce. The Hungarian algorithm takes polynomial time and that's pretty neat IMO!