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Firefly Algorithm with Various Randomization Parameters: An Analysis

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Abstract

In recent years, metaheuristic algorithms are widely employed to provide optimal solutions for engineering optimization problems. In this work, a recent metaheuristic Firefly Algorithm (FA) is adopted to find optimal solution for a class of global benchmark problems and a PID controller design problem. Until now, few research works have been commenced with FA. The updated position in a firefly algorithm mainly depends on parameters such as attraction between fireflies due to luminance and randomization operator. In this paper, FA is analyzed with various randomization search strategies such as Lévy Flight (LF) and Brownian Distribution (BD). The proposed method is also compared with the other randomization operator existing in the literature. The performance assessment between LF and BD based FA are carried using prevailing parameters such as search time and accuracy in optimal parameters. The result evident that BD based FA provides better optimization accuracy, whereas LF based FA provides faster convergence.

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References

  1. Guo Ping Liu, G., Yang, J.-B., James Ferris Whidborne, J.: Multiobjective Optimization and Control. Printice Hall, New Delhi (2008)

    Google Scholar 

  2. Kevin, M.: Passino: Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Systems Magazine 22(3), 52–67 (2002)

    Article  Google Scholar 

  3. Basturk, B., Karaboga, D.: An artificial bee colony (abc) algorithm for numeric function optimization. In: IEEE Swarm Intelligence Symposium, Indianapolis, Indiana, USA (2006)

    Google Scholar 

  4. Krishnanand, K.N., Ghose, D.: Glowworm swarm based optimization algorithm for multimodal functions with collective robotics applications. Multi-agent and Grid Systems 2(3), 209–222 (2006)

    MATH  Google Scholar 

  5. Yang, X.S.: Bat algorithm for multi-objective optimisation. International Journal of Bio-Inspired Computation 3(5), 267–274 (2011)

    Google Scholar 

  6. Yang, X.-S.: Firefly Algorithms for Multimodal Optimization. In: Watanabe, O., Zeugmann, T. (eds.) SAGA 2009. LNCS, vol. 5792, pp. 169–178. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  7. Yang, X.S.: Nature-Inspired Metaheuristic Algorithms. Luniver Press, UK (2008)

    Google Scholar 

  8. Gandomi, A.H., Yang, X.-S., Talatahari, S., Alavi, A.H.: Firefly algorithm with chaos. Commun. Nonlinear Sci. Numer. Simulat. 18(1), 89–98 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  9. Yang, X.S.: Firefly algorithm, Lévy flights and global optimization. In: Research and Development in Intelligent Systems XXVI, pp. 209–218. Springer, London (2010)

    Chapter  Google Scholar 

  10. Yang, X.-S., Hosseinib, S.S.S., Gandomic, A.H.: Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect. Applied Soft Computing 12(3), 1180–1186 (2012)

    Article  Google Scholar 

  11. Yang, X.-S.: Review of meta-heuristics and generalised evolutionary walk algorithm. International Journal of Bio-inspired Computation 3(2), 77–84 (2011)

    Article  Google Scholar 

  12. Yang, X.-S.: Firefly algorithm, stochastic test functions and design optimisation. International Journal of Bio-inspired Computation 2(2), 78–84 (2010)

    Article  Google Scholar 

  13. Fister, I., et al.: A comprehensive review of firefly algorithms. Swarm and Evolutionary Computation (2013), http://dx.doi.org/10.1016/j.swevo.2013.06.001i

  14. Fister, I., Yang, X.-S., Brest, J., Fister Jr., I.: Modified firefly algorithm using quaternion representation. Expert Systems with Applications 40(18), 7220–7230 (2013)

    Article  Google Scholar 

  15. Poursalehi, N., Zolfaghari, A., Minuchehr, A., Moghaddam, H.K.: Continuous firefly algorithm applied to PWR core pattern enhancement. Nuclear Engineering and Design 258, 107–115 (2013)

    Article  Google Scholar 

  16. Coelho, L.S., Mariani, V.C.: Firefly algorithm approach based on chaotic Tinkerbell map applied to multivariable PID controller tuning. Computers and Mathematics with Applications 64(8), 2371–2382 (2012)

    Google Scholar 

  17. Hassanzadeh, T., Vojodi, H., Mahmoudi, F.: Non-linear Grayscale Image Enhancement Based on Firefly Algorithm. In: Panigrahi, B.K., Suganthan, P.N., Das, S., Satapathy, S.C. (eds.) SEMCCO 2011, Part II. LNCS, vol. 7077, pp. 174–181. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  18. Rathinam, A., Phukan, R.: Solution to Economic Load Dispatch Problem Based on FIREFLY Algorithm and Its Comparison with BFO,CBFO-S and CBFO-Hybrid. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Nanda, P.K. (eds.) SEMCCO 2012. LNCS, vol. 7677, pp. 57–65. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  19. Roeva, O., Slavov, T.: Firefly algorithm tuning of PID controller for glucose concentration control during E. coli fed-batch cultivation process. In: Proceedings of Federated Conference on Computer Science and Information Systems (FedCSIS), pp. 455–462 (2012)

    Google Scholar 

  20. Roeva, O., Slavov, T.: A New Hybrid GA-FA Tuning of PID Controller for Glucose Concentration Control. In: Fidanova, S. (ed.) Recent Advances in Computational Optimization. SCI, vol. 470, pp. 155–168. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  21. Rajasekhar, A., Abraham, A., Pant, M.: Levy mutated Artificial Bee Colony algorithm for global optimization. In: IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011, pp. 655–662 (2011), doi:10.1109/ICSMC.2011.6083786

    Google Scholar 

  22. Nurzaman, S.G., Matsumoto, Y., Nakamura, Y., Shirai, K., Koizumi, S.: From Lévy to Brownian: A Computational Model Based on Biological Fluctuation. PLoS ONE 6(2), 016168 (2011), doi:10.1371/journal.pone.0016168

    Article  Google Scholar 

  23. Metzler, R., Klafter, J.: The random walk’s guide to anomalous diffusion: a fractional dynamics approach. Physics Reports 339(1), 1–77 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  24. Farahani, S.M., Abshouri, A.A., Nasiri, B., Meybodi, M.R.: A Gaussian Firefly Algorithm. International Journal of Machine Learning and Computing 1(5), 448–453 (2011)

    Article  Google Scholar 

  25. Pan, Q.-K., Suganthan, P.N., Tasgetiren, M.F., Liang, J.J.: A self-adaptive global best harmony search algorithm for continuous optimization problems. Applied Mathematics and Computation 216(3), 830–848 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  26. Qu, B.-Y., Suganthan, P.N.: Novel Multimodal Problems and Differential Evolution with Ensemble of Restricted Tournament Selection. In: IEEE Congress on Evolutionary Computation (CEC), pp. 1–7 (2010), doi:10.1109/CEC.2010.5586341

    Google Scholar 

  27. Arora, S., Singh, S.: The Firefly Optimization Algorithm: Convergence Analysis and Parameter Selection. International Journal of Computer Applications 69(3), 48–52 (2013)

    Article  Google Scholar 

  28. Rajinikanth, V., Latha, K.: Bacterial foraging optimization algorithm based PID controller tuning for time delayed unstable system. The Mediterranean Journal of Measurement and Control 7(1), 197–203 (2011)

    Google Scholar 

  29. Rajinikanth, V., Latha, K.: Modeling, Analysis, and Intelligent Controller Tuning for a Bioreactor: A Simulation Study. ISRN Chemical Engineering 2012, Article ID 413657, 15 pages (2012), doi:10.5402/2012/413657

    Google Scholar 

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Raja, N.S.M., Manic, K.S., Rajinikanth, V. (2013). Firefly Algorithm with Various Randomization Parameters: An Analysis. In: Panigrahi, B.K., Suganthan, P.N., Das, S., Dash, S.S. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2013. Lecture Notes in Computer Science, vol 8297. Springer, Cham. https://doi.org/10.1007/978-3-319-03753-0_11

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  • DOI: https://doi.org/10.1007/978-3-319-03753-0_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03752-3

  • Online ISBN: 978-3-319-03753-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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