LP-based solution methods for the asymmetric TSP

We consider an LP relaxation for ATSP. We introduce concepts of high-value and high-flow cycles in LP basic solutions and show that the existence of this kind of cycles would lead to constant-factor approximation algorithms for ATSP. The existence of high-flow cycles is motivated by computational results and theoretical observations.

• Type: Journal
• Year: 2007
• Where: IPL
• Authors: Vardges Melkonian
• Keywords: ATSP, IPL 2007, LP Basic Solutions, LP Relaxation