Journal of System Simulation ›› 2017, Vol. 29 ›› Issue (2): 248-254.doi: 10.16182/j.issn1004731x.joss.201702003

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Particle Swarm Ant Colony Optimization Algorithm for Solving Circle Permutation Problem

Xu Xiaoping1, Zhu Qiuqiu1, Wang Feng2   

  1. 1. School of sciences, Xi'an University of Technology, Xi'an 710054, China;
    2. School of Mathematics and Statistics Sciences, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2015-03-25 Revised:2015-10-24 Online:2017-02-08 Published:2020-06-01

Abstract: A particle swarm ant colony optimization algorithm of solving circle permutation problem was proposed. Based on the basis of analyzing relationship between circular permutation problem and traveling salesman problem, circular permutation problem was translated into traveling salesman problem, and it was further transformed into an optimization problem. In order to further improve the performance of the algorithm, here, four kinds of new scheme were proposed to solve circular permutation problem based on particle swarm ant colony optimization algorithm. In the simulation experiments, compared with the existing algorithm, the simulation results show that the proposed method is reasonable and feasible. Namely, the proposed four kinds of new algorithm have fast convergence speed and optimal performance.

Key words: circle permutation problem, traveling salesman problem, combinatorial optimization, particle swarm optimization algorithm, ant colony algorithm

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