Skip to main content

A New Blend of DE and PSO Algorithms for Global Optimization Problems

  • Conference paper
  • 1194 Accesses

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 168))

Abstract

Differential Evolution (DE) and Particle Swarm Optimization (PSO) algorithms have gained a lot of popularity in the last few years for solving complex optimization problems. Several variants of both the algorithms are available in literature. One such variation is combining the two algorithms in a manner so as to develop an algorithm having positive features of both the algorithms. In the present study we propose a hybrid of DE and PSO algorithm called Mixed Particle Swarm Differential Evolution Algorithm (MPDE) for solving global optimization algorithms. The numerical and statistical results evaluated on a set of benchmark functions show the competence of the proposed algorithm. Further, the proposed algorithm is applied to a practical problem of determining the location of the earthquakes in the Northern Himalayan and Hindu Kush regions of India.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Storn, R., Price, K.: Differential evolution—A simple and efficient adaptive scheme for global optimization over continuous spaces,Technical report TR-95-012, International Computer Science Insitute (1995)

    Google Scholar 

  2. Storn, R., Price, K.: DE-A simple evolution strategy for fast optimization. Dr. Dobb’s Journal, 18–24, 78 (April 1997)

    Google Scholar 

  3. Ali, M., Pant, M., Abraham, A.: Simplex differential evolution. Acta Polytechnica Hungarica 6, 95–115 (2009)

    Google Scholar 

  4. Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Joint Conference on Neural network, pp. 1942–1948. IEEE Press, Los Alamitos (1995)

    Chapter  Google Scholar 

  5. Pant, M., Thangaraj, R., Abraham, A.: A new PSO algorithm with crossover operator for global optimization problems. In: Corchado, E., et al. (eds.) Second International Symposium on Hybrid Artificial Intelligent Systems (HAIS 2007), Innovations in Hybrid Intelligent Systems. AISC, vol. 44, pp. 215–222. Springer, Germany (2007)

    Google Scholar 

  6. Pant, M., Thangaraj, R., Abraham, A.: A new quantum behaved particle swarm optimization. In: Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation, Atlanta, GA, USA, pp. 87–94 (2008) ISBN:978-1-60558-130-9

    Google Scholar 

  7. Engelbrecht, A.: Fundamental of computational swarm intelligence. Wiley & sons, Chichester (2005)

    Google Scholar 

  8. Hendtlass, T.: A combined swarm differential evolution algorithm for optimization problems. In: Monostori, L., Váncza, J., Ali, M. (eds.) IEA/AIE 2001. LNCS (LNAI), vol. 2070, pp. 11–18. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  9. Zhang, W.J., Xie, X.F.: DEPSO: Hybrid particle swarm with differential evolution operator. In: IEEE International Conference on Systems, Man and Cybernetics, vol. 4, pp. 3816–3821 (2003)

    Google Scholar 

  10. Kannan, S., Slochanal, S., Subbaraj, P., Padhy, N.: Application of particle swarm optimization technique and its variants to generation expansion planning. Electrical Power System Research 70(3), 203–210 (2004)

    Article  Google Scholar 

  11. Talbi, H., Batouche, M.: Hybrid particle swarm with differential evolution for multimodal image registration. In: Proceeding of the IEEE International Conference on Industrial Technology, vol. 3, pp. 1567–1573 (2004)

    Google Scholar 

  12. Hao, Z.F., Guo, G.H., Huang, H.: A particle swarm optimization algorithm with differential evolution. In: Proceeding of the Sixth International Conference on Machine Learning and Cybernetics, pp. 1031–1035. Hong Kong (August 2007)

    Google Scholar 

  13. Omran, M., Engelbrecht, A., Salman, A.: Bare bones differential evolution. European Journal of Operation Research 196, 128–139 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Zhang, C., Ning, J., Lu, S., Ouyang, D., Ding, T.: A novel hybrid differential evolution and particle swarm optimization algorithm for unconstrained optimization. Operation Research Letters 37, 117–122 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  15. Pant, M., Thangraj, R., Grosan, C., Abraham, A.: Hybrid differential evolution – Particle swarm optimization algorithm for solving global optimization problems. In: ICDIM, pp. 18–24 (2008)

    Google Scholar 

  16. Zhu, R.: Statistical analysis methods. China Forestry Publishing House, Beijing (1989)

    Google Scholar 

  17. Zhang, M., Luo, W., Wang, X.: Differential evolution with dynamic stochastic selection for constrained optimization. Information Science: An International Journal 178, 3043–3074 (2008)

    Article  Google Scholar 

  18. Xing, J., Yang, W.-d., Li, S.-y., Ma, Q.: A new seismic location method. Earthquake and Engineering Vibration 27, 20–25 (2007)

    Google Scholar 

  19. Kaliaa, K.L., Krishna, V.G., Narain, H.: Upper mantle velocity structurein the Hindu Kush region from travel time studies of deep Earthquakes using a new analytical method. Bull. Seismol. Soc. Am 59, 1949–1967 (1969)

    Google Scholar 

  20. Kumar, S., Sato, T.: Compressional & Shear waves velocities in the crust, beneath the Garhwal Himalaya,N-India. Journal of Himalayan Geology 24(2), 77–85 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tomar, P.K., Pant, M. (2011). A New Blend of DE and PSO Algorithms for Global Optimization Problems. In: Aluru, S., et al. Contemporary Computing. IC3 2011. Communications in Computer and Information Science, vol 168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22606-9_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22606-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22605-2

  • Online ISBN: 978-3-642-22606-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics