Industrial Engineering Journal ›› 2011, Vol. 14 ›› Issue (5): 89-91.

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Matrix Circle Intelligent Algorithm for the Traveling Salesman Problem

  

  1. College of Business, Sichuan University, Chengdu 610064, China
  • Online:2011-10-31 Published:2011-11-11

Abstract:  In this paper, the concept of weighting distance matrix is presented. Then, method is given to calculate the weighting distance matrix. Based on this concept, a novel algorithm called matrixcircle intelligent algorithm is proposed to find an approximate solution of the traveling salesman problem. This algorithm finds a circuit by using the characteristics of the weighting distance matrix. This circuit is unremittingly improved and updated until a satisfied solution is found. A number of examples from the library of TSPLIB are used to test the proposed algorithm and results show that it is very effective.

Key words: traveling salesman problem;matrix circle intelligent algorithm, weighting distance matrix