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Um melhor limite inferior para o problema do caixeiro viajante assimétrico baseado no problema da afecta??o

Keywords: optimization, combinatorial optimization, lower bounds, asymmetric traveling salesman, disjunctive programming.

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Abstract:

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.

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