A long-standing conjecture in Combinatorial Optimization is that the integrality gap of the Held-Karp LP relaxation for the Asymmetric Traveling Salesman Problem (ATSP) is a consta...
We empirically study phase transitions of the asymmetric Traveling Salesman. Using random instances of up to 1,500 cities, we show that many properties of the problem, including t...
The purpose of this paper is to provide a preliminary report on the rst broad-based experimental comparison of modern heuristics for the asymmetric traveling salesmen problem ATSP....
Jill Cirasella, David S. Johnson, Lyle A. McGeoch,...
- In this paper we present ACS, a distributed algorithm for the solution of combinatorial optimization problems which was inspired by the observation of real colonies of ants. We a...