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An Improved Thermodynamics Evolutionary Algorithm Based on the Minimal Free Energy

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Advances in Swarm Intelligence (ICSI 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6145))

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Abstract

In this paper, an improved thermodynamics evolutionary algorithm (ITEA) is proposed. The purpose of the new algorithm is to systematically harmonize the conflict between selective pressure and population diversity while searching for the optimal solutions. ITEA conforms to the principle of minimal free energy in simulating the competitive mechanism between energy and entropy in annealing process, in which population diversity is measured by similarity entropy and the minimum free energy is simulated with an efficient and effective competition by free energy component. Through solving some typical numerical optimization problems, satisfactory results were achieved, which showed that ITEA was a preferable algorithm to avoid the premature convergence effectively and reduce the cost in search to some extent.

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References

  1. Pan, Z.J., Kang, L.S., Chen, Y.P.: Evolutionary computation. Tsinghua Uinv. Press, Beijing (1998) (in Chinese)

    Google Scholar 

  2. Michalewicz, Z., Fogel, D.: How to Solve It: Modern Heuristics. Springer, Berlin (2000)

    MATH  Google Scholar 

  3. Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220, 671–680 (1983)

    Article  MathSciNet  Google Scholar 

  4. Vavak, F., Fogarty, T.C.: A comparative study of steady state and generational genetic algorithms for use in nonstationary environments. In: Fogarty, T. C. (ed.) AISB workshop on Evolutionary Computing, pp. 297–304. Springer, Brighton (1996)

    Chapter  Google Scholar 

  5. Hu, T., Li, Y.X., Ding, W.: A new dynamical evolutionary algorithm based on the principle of minimal free energy. In: Kang, L.S., Cai, Z.H., Yan, X.S. (eds.) Progress in Intelligence Computation and Applications, pp. 749–754. China University of Geosciences, Wuhan (2005)

    Google Scholar 

  6. Mori, N., Yoshida, J., Tamaki, H., Kita, H., Nishikawa, Y.: A thermodynamic selection rule for the genetic algorithm. In: Fogel, D.B. (ed.) Proc. of IEEE Conf. on Evolutionary Computation, pp. 188–192. IEEE Press, New Jersey (1995)

    Google Scholar 

  7. Ying, W.Q., Li, Y.X.: Improving the Computational Efficiency of Thermodynamical Genetic Algorithms. Journal of Software, 1613–1622 (2008)

    Google Scholar 

  8. Su, X.H., Yang, B., Wang, Y.D.: A Genetic Algorithm Based on Evolutionarily Stable Strategy. Journal of Software 14(11), 1863–1868 (2003) (in Chinese)

    MATH  Google Scholar 

  9. Abs da Cruz, A.V., Vellasco, M.M.B.R., Pacheco, M.A.C.: Quantum-inspired evolutionary algorithm for numerical optimization. In: Yen, G.G., et al. (eds.) Proc. of IEEE Congress on Evolutionary Computation, pp. 2630–2637. IEEE Press, New Jersey (2006)

    Chapter  Google Scholar 

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Yu, F., Li, Y., Ying, W. (2010). An Improved Thermodynamics Evolutionary Algorithm Based on the Minimal Free Energy. In: Tan, Y., Shi, Y., Tan, K.C. (eds) Advances in Swarm Intelligence. ICSI 2010. Lecture Notes in Computer Science, vol 6145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13495-1_66

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  • DOI: https://doi.org/10.1007/978-3-642-13495-1_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13494-4

  • Online ISBN: 978-3-642-13495-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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