The Hungarian Algorithm is a combinatorial optimization method used to solve assignment problems, where the goal is to minimize costs or maximize efficiency in pairing tasks with agents. It works by creating a cost matrix and systematically reducing it to find the optimal assignment that minimizes total cost. Developed by Hungarian mathematicians Dénes Kőnig and János Egerváry, the algorithm operates in polynomial time, making it efficient for large problems. It is widely applied in various fields, including operations research, economics, and computer science, particularly in scenarios like job assignments and resource allocation.