Skip to main content

An Improvement of Gravitational Search Algorithm

  • Conference paper
  • First Online:
Proceedings of 2019 Chinese Intelligent Systems Conference (CISC 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 593))

Included in the following conference series:

Abstract

The gravitational search algorithm (GSA) has the advantages of strong exploitation performance and fast convergence speed. However, the GSA is easy to appear premature phenomenon and get into the local optimum during the search process because the particle diversity declines during the optimization process and the particle swarm optimization information is not shared. Therefore, an improved GSA (IGSA) is proposed, which keeps the particle diversity by adjusting the gravitational constant and enhances particle swarm information sharing ability by imposing global optimal information into the search position of each particle. The proposed IGSA has been evaluated on 9 nonlinear benchmark functions and compared with standard GSA and particle swarm optimization (PSO). The obtained results confirm that the convergence accuracy of IGSA is several orders of magnitude higher than that of GSA, and the search speed is also increased by more than 2 times. In addition, a case study of optimizing generator operating costs of IEEE9 is carried, and the IGSA algorithm achieves lower operating costs and less network loss than that of GSA.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
Price excludes VAT (USA)
  • Durable hardcover 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. Rashedi E, Nezamabadi H, Saryazdi S (2009) GSA: a gravitational search algorithm. Inf Sci 179(13):2232–2248

    Article  Google Scholar 

  2. Li C, Zhou J, Xiao J, Xiao H (2012) Parameters identification of chaotic system by chaotic gravitational search algorithm. Chaos, Solitons Fractals 45:539–547

    Article  Google Scholar 

  3. Gaos S, Vairappan C, Wang U et al (2014) Gravitational search algorithm combined with chaos for unconstrained numerical optimization. Appl Math Comput 231(11):48–62

    MathSciNet  MATH  Google Scholar 

  4. Yang Y (2018) Improvement of gravitational search algorithm. Syst Simul Technol 14(1):78–82 (in Chinese)

    Google Scholar 

  5. Kumar JV, Kumar DMV, Edukondaluk K (2013) Strategic bidding using fuzzy adaptive gravitational search algorithm in a pool based electricity market. Appl Soft Comput 13(5):2445–2455

    Article  Google Scholar 

  6. Ju F, Hong W (2013) Application of seasonal SVR with chaotic gravitational search algorithm in electricity forecasting. Appl Math Modell 37:9643–9651

    Article  MathSciNet  Google Scholar 

  7. Sarafrazi S, Nezamabadi H, Saryazdi S (2011) Disruption: a new operator in gravitational search algorithm. Scientia Iranica 18(3):539–548

    Article  Google Scholar 

  8. Khajehzadeh M, Taha MR, El-Shafie A et al (2012) A modified gravitational search algorithm for slope stability analysis. Eng Appl Artif Intell 25(8):1589–1597

    Article  Google Scholar 

  9. Rashedi E, Nezamabadi H, Saryazdi S (2012) GSA: a gravitational search Algorithm. Intell Inf Manag 4(6):390–395

    MATH  Google Scholar 

  10. Solis F, Wets R (1981) Minimization by random search techniques. Math Oper Res 6:19–30

    Article  MathSciNet  Google Scholar 

  11. Zhang N, Zhao Z, Bao X et al (2019) The gravitational search algorithm based on improved tent chaos. Control Decis 1:1–8 (in Chinese)

    Google Scholar 

  12. Mirjalili S, Hashin S (2010) A new hybrid PSOGSA algorithm for function optimization. In: 2010 International conference computer and information application (ICCIA), Tianjin, pp 374–377

    Google Scholar 

  13. Zimmerman R, Gan D. Matpower: a MATLAB power system simulation package. http://www.pserc.cornell.edu/matpower

  14. Gao L (2007) Energy-saving generation dispatching based on independent incremental transmission losses and environmental cost, Dissertation, Hunan University. (in Chinese)

    Google Scholar 

Download references

Acknowledgments

This work was supported by NSFC-21868019 and NMGSFC-2018MS06022.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lin Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zheng, C., Li, H., Wang, L. (2020). An Improvement of Gravitational Search Algorithm. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 593. Springer, Singapore. https://doi.org/10.1007/978-981-32-9686-2_56

Download citation

Publish with us

Policies and ethics