Well Solved Cases Of Probabilistic Traveling Salesman Problem
نویسندگان
چکیده
The Probabilistic Traveling Salesman Problem is in general NP-Hard, the objective of this paper is to look for particular cases which can be solved in an easy way. First we give the relation between the two problems deterministic and probabilistic. Second, we study the stability of the deterministic problem. We prove that in the small traveling salesman problem, several tours were optimal, but there is only one stable among them : The absence of certain cities does not disturb the tour induced by the method of modi cation of the optimal tour a priori. Keyword : Processus, Statistique mathématique
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