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Solving Traveling Salesman Problems by Artificial Immune Response

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Book cover Simulated Evolution and Learning (SEAL 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4247))

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Abstract

This paper introduces a computational model simulating the dynamic process of human immune response for solving Traveling Salesman Problems (TSPs). The new model is a quaternion (G, I, R, Al), where G denotes exterior stimulus or antigen, I denotes the set of valid antibodies, R denotes the set of reaction rules describing the interactions between antibodies, and Al denotes the dynamic algorithm describing how the reaction rules are applied to antibody population. The set of immunodominance rules, the set of clonal selection rules, and a dynamic algorithm TSP-PAISA are designed. The immunodominance rules construct an immunodominance set based on the prior knowledge of the problem. The antibodies can gain the immunodominance from the set. The clonal selection rules strengthen these superior antibodies. The experiments indicate that TSP-PAISA is efficient in solving TSPs and outperforms a known TSP algorithm, the evolved integrated self-organizing map.

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References

  1. Jin, H.D., Leung, K.S., Wong, M.L., Xu, Z.B.: An Efficient Self-Organizing Map Designed by Genetic Algorithms for the Traveling Salesman Problem. IEEE Transactions on Systems, Man, and Cybernetics-Part B 33(6), 877–888 (2003)

    Article  Google Scholar 

  2. Durbin, R., Willshaw, D.: An analogue approach to the traveling salesman problem. Nature 326, 689–691 (1987)

    Article  Google Scholar 

  3. Reinelt, G.: The Traveling Salesman: Computational Solutions for TSP Applications. Springer, Heidelberg (1994)

    Google Scholar 

  4. Garrett, S.M.: How Do We Evaluate Artificial Immune Systems. Evolutionary Computation 13(2), 145–178 (2005)

    Article  Google Scholar 

  5. Gong, M.G., Jiao, L.C., Liu, F., Du, H.F.: The Quaternion Model of Artificial Immune Response. In: Jacob, C., Pilat, M.L., Bentley, P.J., Timmis, J.I. (eds.) ICARIS 2005. LNCS, vol. 3627, pp. 207–219. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  6. Gong, M.G., Du, H.F., Jiao, L.C.: Optimal approximation of linear systems by artificial immune response. Science in China: Series F Information Sciences 49(1), 63–79 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  7. Yewdell, J.W., Bennink, J.R.: Immunodominance in major histocompatibility complex class I-restricted T lymphocyte responses. Annual Review of Immunology 17, 51–88 (1999)

    Article  Google Scholar 

  8. Burnet, F.M.: The Clonal Selection Theory of Acquired Immunity. Cambridge University Press, Cambridge (1959)

    Google Scholar 

  9. Burnet, F.M.: Clonal selection and after. Theoretical Immunology, pp. 63–85. Marcel Dekker, New York (1978)

    Google Scholar 

  10. Garrett, S.M.: Parameter-free, Adaptive Clonal Selection. In: The Proceedings of IEEE Congress on Evolutionary Computing (CEC 2004), Portland Oregon, June 2004, pp. 1052–1058 (2004)

    Google Scholar 

  11. de Castro, L.N., Von Zuben, F.J.: Learning and Optimization Using the Clonal Selection Principle. IEEE Transactions on Evolutionary Computation 6(3), 239–251 (2002)

    Article  Google Scholar 

  12. Reinelt, G.: TSPLIB—A traveling salesman problem library. ORSA Journal of Computing 3(4), 376–384 (1991)

    MATH  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Gong, M., Jiao, L., Zhang, L. (2006). Solving Traveling Salesman Problems by Artificial Immune Response. In: Wang, TD., et al. Simulated Evolution and Learning. SEAL 2006. Lecture Notes in Computer Science, vol 4247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11903697_9

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  • DOI: https://doi.org/10.1007/11903697_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-47331-2

  • Online ISBN: 978-3-540-47332-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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