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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2013 Volume 19, Number 1, Pages 121–129 (Mi timm905)

Truncated dynamic programming method in a closed traveling salesman problem with symmetric value function

E. E. Ivanko

Institute of Mathematics and Mechanics

Abstract: A method for the exact solution of a closed traveling salesman problem with symmetric value function based on the dynamic programming method is presented. The method produces an optimal solution in a smaller number of operations as compared to the classical dynamic programming method. A short experiment, which compares the efficiencies of the classical scheme and of the new scheme in traveling salesman problems of different dimensions, is given in the end of the paper.

Keywords: dynamic programming method, traveling salesman problem.

UDC: 519.168

Received: 15.09.2012



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