Abstract
This research studied ant colony optimization with optimization problem as an assignment model problem by Hungarian method. The proposed heuristic algorithm simulate ant colony optimization algorithm with Hungarian method for Assignment problem. The ant colony optimization algorithm simulates the behavior of real ant colony, to find the shortest path between many paths for solving the problem. It dependent on the path from the nest (problem of research) to food (optimal solution) by deposited pheromone on the path they take between the nest and food, so that other ants can smell it.The experiment in this research shows that the algorithm provides optimal solution. It has outperforms with computation and it is an effective approach and the algorithm performs significantly better than the classical method, to reduce the region of the space considered and computation as compared to the classical methods.