English

State transition algorithm for traveling salesman problem

Optimization and Control 2013-02-12 v1 Combinatorics

Abstract

Discrete version of state transition algorithm is proposed in order to solve the traveling salesman problem. Three special operators for discrete optimization problem named swap, shift and symmetry transformations are presented. Convergence analysis and time complexity of the algorithm are also considered. To make the algorithm simple and efficient, no parameter adjusting is suggested in current version. Experiments are carried out to test the performance of the strategy, and comparisons with simulated annealing and ant colony optimization have demonstrated the effectiveness of the proposed algorithm. The results also show that the discrete state transition algorithm consumes much less time and has better search ability than its counterparts, which indicates that state transition algorithm is with strong adaptability.

Keywords

Cite

@article{arxiv.1206.0329,
  title  = {State transition algorithm for traveling salesman problem},
  author = {Yang Chunhua and Tang Xiaolin and Zhou Xiaojun and Gui Weihua},
  journal= {arXiv preprint arXiv:1206.0329},
  year   = {2013}
}

Comments

6 pages, 6 figures

R2 v1 2026-06-21T21:13:19.213Z