%0 Journal Article %T Um melhor limite inferior para o problema do caixeiro viajante assim¨¦trico baseado no problema da afecta£¿£¿o %A Ramires %A Ana %A Soares %A Jo£¿o %J Investiga£¿£¿o Operacional %D 2005 %I Scientific Electronic Library Online %X in this article we decribe how to compute a lower bound for the asymmetric traveling salesman problem that dominates the bound that comes from the assignment relaxation, through the solving of a sequence of assignment problems. the algorithm that we propose is a first-order method based on the exponential penalty function. directions of movement are derived from a disjunctive relaxation that we proposed as being one of two possible classes, one based on cycles, the other based on cliques. %K optimization %K combinatorial optimization %K lower bounds %K asymmetric traveling salesman %K disjunctive programming. %U http://www.scielo.gpeari.mctes.pt/scielo.php?script=sci_abstract&pid=S0874-51612005000100004&lng=en&nrm=iso&tlng=en