Comparison between branch and cutting algorithm and ant colony algorithm in order to contribute solving the problem of postman Traveling Salesman Problem


Abstract in English

In this research we are studying the possibility of contributing in solving the problem of the Traveling Salesman Problem, which is a problem of the type NP-hard . And there is still no algorithm provides us with the Optimal solution to this problem . All the algorithms used to give solutions which are close to the optimal one .

References used

DANTZIG, G.B., FULKERSON, D.R., JOHNSON, S.M, 1959 Solution of a large scale traveling salesman problem, Operation Research, vol. 2, 1954,pp.393-395
WILLIAM ,C. 2012 . In Pursuit of the Traveling Salesman ,Mathematics at the Limits of Computation , 245 P
APPLEGATE. D.L, R. BIXBY, V. CHVÁTAL, COOK .W.J, ESPINOZA. D , GOYCOOLEA .M, ANDHELSGAUN. K 2009 . Certification of an optimal tsp tour through 85,900 cities. pp ,1-3

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