The Hungarian Algorithm is successful in the large majority of cases, but can fail to find a feasible matching if there exists another minimal cost matching that is not feasible, and it finds that solution first.

Dec 30, 2022 · The Hungarian algorithm can be seen to take as input a complete weighted bipartite graph and outputs an optimal matching, maximising or minimising the sum of all the edges. Crucially, …

Feb 9, 2023 · I'm trying to learn how the cost minimising Hungarian Algorithm works on bipartite graphs. I can perform the algorithm on the adjacency matrix, but I want to understand how it works on …

Oct 31, 2019 · If you compare what the Hungarian algorithm does in the original problem and the modified problem, then (assuming $\epsilon$ is sufficiently small) there is only one way for the …

Nov 25, 2020 · Here are some observations about the Hungarian algorithm that I'm trying to confirm: It seems that Step 0 (the row/column subtractions) pins down at least one match that ends up in the …

Sep 1, 2023 · I perfectly understand why Step 1 results in an equivalent problem, where the optimal solution remains the same, but when it comes to the adjustment step (Step 5) I get confused.

Nov 4, 2020 · It is said that the Earth Movers distance shown above is solved using the Hungarian algorithm by Munkres, which is also used for solving the Assignment Problem. Are optimal transport …

Oct 3, 2020 · Optimal assignment using the Hungarian algorithm was found to be improved for optimal transport using the Sinkhorn algorithm. Intuitively I cannot make out why. More fundamentally, how …

Apr 25, 2020 · I have solved this problem with the Hungarian algorithm and my total cost at the end gives the solution of 25. But my question is, is it possible to pass this table to standard linear …

Nov 30, 2016 · Why does the cost matrix need to be nonnegative when applying the Hungarian algorithm? Ask Question Asked 9 years, 2 months ago Modified 9 years, 2 months ago