Theoretical Properties of Two ACO Approaches for the Traveling Salesman Problem
- Cite this paper as:
- Kötzing T., Neumann F., Röglin H., Witt C. (2010) Theoretical Properties of Two ACO Approaches for the Traveling Salesman Problem. In: Dorigo M. et al. (eds) Swarm Intelligence. ANTS 2010. Lecture Notes in Computer Science, vol 6234. Springer, Berlin, Heidelberg
Ant colony optimization (ACO) has been widely used for different combinatorial optimization problems. In this paper, we investigate ACO algorithms with respect to their runtime behavior for the traveling salesperson (TSP) problem. We present a new construction graph and show that it has a stronger local property than the given input graph which is often used for constructing solutions. Later on, we investigate ACO algorithms for both construction graphs on random instances and show that they achieve a good approximation in expected polynomial time.
Unable to display preview. Download preview PDF.