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A Novel Physarum-Based Ant Colony System for Solving the Real-World Traveling Salesman Problem

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Book cover Advances in Swarm Intelligence (ICSI 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8794))

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Abstract

The solutions to Traveling Salesman Problem can be widely applied in many real-world problems. Ant colony optimization algorithms can provide an approximate solution to a Traveling Salesman Problem. However, most ant colony optimization algorithms suffer premature convergence and low convergence rate. With these observations in mind, a novel ant colony system is proposed, which employs the unique feature of critical tubes reserved in the Physaurm-inspired mathematical model. A series of experiments are conducted, which are consolidated by two real-world Traveling Salesman Problems. The experimental results show that the proposed new ant colony system outperforms classical ant colony system, genetic algorithm, and particle swarm optimization algorithm in efficiency and robustness.

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References

  1. Colorni, A., Dorigo, M., Maniezzo, V.: Distributed Optimization by Ant Colonies. In: Proceedings of the First European Conference on Artificial Life, vol. 142, pp. 134–142 (1991)

    Google Scholar 

  2. Wang, K.P., Huang, L., Zhou, C.G., Pang, W.: Particle Swarm Optimization for Traveling Salesman Problem. In: Proceedings of the Second International Conference on Machine Learning and Cybernetics, Xi’an, China, vol. 3, pp. 1583–1585 (2003)

    Google Scholar 

  3. Chatterjee, S., Carrera, C., Lynch, L.A.: Genetic Algorithms and Traveling Salesman Problems. European Journal of Operational Research 93(3), 490–510 (1996)

    Article  MATH  Google Scholar 

  4. Dorigo, M., Gambardella, L.M.: Ant Colony System: A Cooperative Learning Approach to the Traveling Salesman Problem. IEEE Transactions on Evolutionary Computation 1(1), 53–66 (1997)

    Article  Google Scholar 

  5. Hlaing, Z.C.S.S., Khine, M.A.: Solving Traveling Salesman Problem by Using Improved Ant Colony Optimization Algorithm. International Journal of Information and Education Technology 1(5), 404–409 (2011)

    Article  Google Scholar 

  6. Nakagaki, T., Yamada, H., Tóth, A.: Maze-Solving by an Amoeboid Organism. Nature 407(6803), 470 (2000)

    Article  Google Scholar 

  7. Adamatzky, A., Martinez, G.J.: Bio-Imitation of Mexican Migration Routes to the USA with Slime Mould on 3D Terrains. Journal of Bionic Engineering 10(2), 242–250 (2013)

    Article  Google Scholar 

  8. Tero, A., Kobayashi, R., Nakagaki, T.: A Mathematical Model for Adaptive Transport Network in Path Finding by True Slime Mold. Journal of Theoretical Biology 244(4), 553–564 (2007)

    Article  MathSciNet  Google Scholar 

  9. Qian, T., Zhang, Z., Gao, C., Wu, Y., Liu, Y.: An Ant Colony System Based on the Physarum Network. In: Tan, Y., Shi, Y., Mo, H. (eds.) ICSI 2013, Part I. LNCS, vol. 7928, pp. 297–305. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  10. Zhang, Z.L., Gao, C., Liu, Y.X., Qian, T.: A Universal Optimization Strategy for Ant Colony Optimization Algorithms Based on the Physarum-Inspired Mathematical Model. Bioinspiration and Biomimetics 9, 036006 (2014)

    Google Scholar 

  11. Wikipedia, http://en.wikipedia.org/wiki/Great-circle_distance#cite_note-3

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Lu, Y., Liu, Y., Gao, C., Tao, L., Zhang, Z. (2014). A Novel Physarum-Based Ant Colony System for Solving the Real-World Traveling Salesman Problem. In: Tan, Y., Shi, Y., Coello, C.A.C. (eds) Advances in Swarm Intelligence. ICSI 2014. Lecture Notes in Computer Science, vol 8794. Springer, Cham. https://doi.org/10.1007/978-3-319-11857-4_20

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  • DOI: https://doi.org/10.1007/978-3-319-11857-4_20

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11856-7

  • Online ISBN: 978-3-319-11857-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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