Skip to main content

Leveraging Local Optima Network Properties for Memetic Differential Evolution

  • Conference paper
  • First Online:
Optimization of Complex Systems: Theory, Models, Algorithms and Applications (WCGO 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 991))

Included in the following conference series:

Abstract

Population based global optimization methods can be extended by properly defined networks in order to explore the structure of the search space, to describe how the method performed on a given problem and to inform the optimization algorithm so that it can be more efficient. The memetic differential evolution (MDE) algorithm using local optima network (LON) is investigated for these aspects. Firstly, we report the performance of the classical variants of differential evolution applied for MDE, including the structural properties of the resulting LONs. Secondly, a new restarting rule is proposed, which aims at avoiding early convergence and it uses the LON which is built-up during the evolutionary search of MDE. Finally, we show the promising results of this new rule, which contributes to the efforts of combining optimization methods with network science.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Cabassi, F., Locatelli, M.: Computational investigation of simple memetic approaches for continuous global optimization. Comput. Oper. Res. 72, 50 – 70 (2016)

    Google Scholar 

  2. Hagberg, A., Swart, P., S Chult, D.: Exploring network structure, dynamics, and function using NetworkX. Technical report, Los Alamos National Lab. (LANL), Los Alamos, NM (United States) (2008)

    Google Scholar 

  3. Hart, W.E., Laird, C.D., Watson, J.P., Woodruff, D.L., Hackebeil, G.A., Nicholson, B.L., Siirola, J.D.: Pyomo-Optimization Modeling in Python, vol. 67. Springer, Heidelberg (2012)

    Google Scholar 

  4. Homolya, V., T.Vinkó: Memetic differential evolution using network centrality measures. In: AIP Conference Proceedings 2070, 020023 (2019)

    Google Scholar 

  5. Locatelli, M., Maischberger, M., Schoen, F.: Differential evolution methods based on local searches. Comput. Oper. Res. 43, 169–180 (2014)

    Google Scholar 

  6. Mezura-Montes, E., Velázquez-Reyes, J., Coello Coello, C.A.: A comparative study of differential evolution variants for global optimization. In: Proceedings of the 8th Annual Conference on Genetic and Evolutionary Computation, pp. 485–492. ACM (2006)

    Google Scholar 

  7. Moscato, P.: On evolution, search, optimization, genetic algorithms and martial arts: towards memetic algorithms. Caltech concurrent computation program. C3P Rep. 826 (1989)

    Google Scholar 

  8. Murtagh, B.A., Saunders, M.A.: MINOS 5.5.1 user’s guide. Technical Report SOL 83-20R (2003)

    Google Scholar 

  9. Neri, F., Cotta, C.: Memetic algorithms and memetic computing optimization: a literature review. Swarm Evol. Comput. 2, 1–14 (2012)

    Google Scholar 

  10. Piotrowski, A.P.: Adaptive memetic differential evolution with global and local neighborhood-based mutation operators. Inf. Sci. 241, 164–194 (2013)

    Google Scholar 

  11. Skanderova, L., Fabian, T.: Differential evolution dynamics analysis by complex networks. Soft Comput. 21(7), 1817–1831 (2017)

    Google Scholar 

  12. Storn, R., Price, K.: Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11, 341–359 (1997)

    Google Scholar 

  13. Vinkó, T., Gelle, K.: Basin hopping networks of continuous global optimization problems. Cent. Eur. J. Oper. Res. 25, 985–1006 (2017)

    Google Scholar 

Download references

Acknowledgment

This research has been partially supported by the project “Integrated program for training new generation of scientists in the fields of computer science”, no EFOP-3.6.3-VEKOP-16-2017-0002. The project has been supported by the European Union and co-funded by the European Social Fund. Ministry of Human Capacities, Hungary grant 20391-3/2018/FEKUSTRAT is acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tamás Vinkó .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Homolya, V., Vinkó, T. (2020). Leveraging Local Optima Network Properties for Memetic Differential Evolution. In: Le Thi, H., Le, H., Pham Dinh, T. (eds) Optimization of Complex Systems: Theory, Models, Algorithms and Applications. WCGO 2019. Advances in Intelligent Systems and Computing, vol 991. Springer, Cham. https://doi.org/10.1007/978-3-030-21803-4_11

Download citation

Publish with us

Policies and ethics