Skip to main content
Top

2015 | OriginalPaper | Chapter

Hierarchical Topology in Parallel Differential Evolution

Author : Petr Bujok

Published in: Numerical Methods and Applications

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A new differential evolution (DE) algorithm with a parallel hierarchical topology (HDE) is proposed. The main goal of the paper is to study how the performance of the algorithm is influenced by the use of parallel migration model. The hierarchical model has several control parameters and the influence of these parameters setting is also studied. The performance of HDE algorithm is compared with non-parallel DE algorithm on CEC2013 benchmark suite. Experimental results show that the HDE outperforms the non-parallel DE algorithm significantly in 27 out of 28 test problems.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Bujok, P.: Parallel models of adaptive differential evolution based on migration process. In: Aplimat, 10th International Conference on Applied Mathematics, pp. 357–364, Bratislava (2011) Bujok, P.: Parallel models of adaptive differential evolution based on migration process. In: Aplimat, 10th International Conference on Applied Mathematics, pp. 357–364, Bratislava (2011)
2.
go back to reference Bujok, P.: Synchronous and asynchronous migration in adaptive differential evolution algorithms. Neural Netw. World 23(1), 17–30 (2013)CrossRef Bujok, P.: Synchronous and asynchronous migration in adaptive differential evolution algorithms. Neural Netw. World 23(1), 17–30 (2013)CrossRef
3.
go back to reference Bujok, P., Tvrdík, J.: Parallel migration model employing various adaptive variants of differential evolution. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) EC 2012 and SIDE 2012. LNCS, vol. 7269, pp. 39–47. Springer, Heidelberg (2012) CrossRef Bujok, P., Tvrdík, J.: Parallel migration model employing various adaptive variants of differential evolution. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) EC 2012 and SIDE 2012. LNCS, vol. 7269, pp. 39–47. Springer, Heidelberg (2012) CrossRef
5.
go back to reference Das, S., Suganthan, P.N.: Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evol. Comput. 15, 27–54 (2011) Das, S., Suganthan, P.N.: Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evol. Comput. 15, 27–54 (2011)
7.
go back to reference Nedjah, N., Alba, E., de Macedo Mourelle, L.: Parallel Evolutionary Computations. Studies in Computational Intelligence. Springer, New York (2006) CrossRefMATH Nedjah, N., Alba, E., de Macedo Mourelle, L.: Parallel Evolutionary Computations. Studies in Computational Intelligence. Springer, New York (2006) CrossRefMATH
8.
go back to reference Neri, F., Tirronen, V.: Recent advances in differential evolution: a survey and experimental analysis. Artif. Intell. Rev. 33, 61–106 (2010)CrossRef Neri, F., Tirronen, V.: Recent advances in differential evolution: a survey and experimental analysis. Artif. Intell. Rev. 33, 61–106 (2010)CrossRef
9.
go back to reference Price, K.V., Storn, R., Lampinen, J.: Differential Evolution: A Practical Approach to Global Optimization. Springer, Heidelberg (2005) Price, K.V., Storn, R., Lampinen, J.: Differential Evolution: A Practical Approach to Global Optimization. Springer, Heidelberg (2005)
10.
go back to reference Ruciński, M., Izzo, D., Biscani, F.: On the impact of the migration topology on the island model. Parallel Comput. 36, 555–571 (2010)CrossRefMATH Ruciński, M., Izzo, D., Biscani, F.: On the impact of the migration topology on the island model. Parallel Comput. 36, 555–571 (2010)CrossRefMATH
11.
go back to reference Storn, R., Price, K.V.: Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11, 341–359 (1997)CrossRefMATHMathSciNet Storn, R., Price, K.V.: Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11, 341–359 (1997)CrossRefMATHMathSciNet
12.
go back to reference Tasoulis, D.K., Pavlidis, N., Plagianakos, V.P., Vrahatis, M.N.: Parallel differential evolution. In: IEEE Congress on Evolutionary Computation (CEC), pp. 2023–2029 (2004) Tasoulis, D.K., Pavlidis, N., Plagianakos, V.P., Vrahatis, M.N.: Parallel differential evolution. In: IEEE Congress on Evolutionary Computation (CEC), pp. 2023–2029 (2004)
13.
go back to reference Weber, M., Tirronen, V., Neri, F.: Scale factor inheritance mechanism in distributed differential evolution. Soft Comput. Fusion Found. Methodol. Appl. 14(11), 1187–1207 (2010) Weber, M., Tirronen, V., Neri, F.: Scale factor inheritance mechanism in distributed differential evolution. Soft Comput. Fusion Found. Methodol. Appl. 14(11), 1187–1207 (2010)
14.
go back to reference Wu, S.X., Banzhaf, W.: A hierarchical cooperative evolutionary algorithm. In: Proceedings of the 12th Annual Conference on Genetic and Evolutionary Computation, GECCO 2010, pp. 233–240. ACM, New York (2010) Wu, S.X., Banzhaf, W.: A hierarchical cooperative evolutionary algorithm. In: Proceedings of the 12th Annual Conference on Genetic and Evolutionary Computation, GECCO 2010, pp. 233–240. ACM, New York (2010)
15.
go back to reference Zaharie, D., Petcu, D., Panica, S.: A hierarchical approach in distributed evolutionary algorithms for multiobjective optimization. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2007. LNCS, vol. 4818, pp. 516–523. Springer, Heidelberg (2008) CrossRef Zaharie, D., Petcu, D., Panica, S.: A hierarchical approach in distributed evolutionary algorithms for multiobjective optimization. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2007. LNCS, vol. 4818, pp. 516–523. Springer, Heidelberg (2008) CrossRef
Metadata
Title
Hierarchical Topology in Parallel Differential Evolution
Author
Petr Bujok
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-15585-2_7

Premium Partner