Skip to main content
Log in

Constrained Optimization Using Gravitational Search Algorithm

  • Research Article
  • Published:
National Academy Science Letters Aims and scope Submit manuscript

Abstract

Gravitational search algorithm is a newly born metaheuristic which is inspired by the working force of attraction between two masses. In this article gravitational search algorithm is employed to solve the constrained optimization problems. A variety of state-of-the-art benchmark problems are taken into account to justify the performance of the gravitational search algorithm. The results of gravitational search algorithms are compared with two state-of-the-art Particle Swarm Optimization algorithms in various aspects. Pairwise one tailed t test is applied to justify the statistical significance of the results and time complexity analysis is also performed. Finally the conclusions are drawn based on the experimental results.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Deep K, Bansal JC (2012) Solving economic dispatch problems with valve-point effects using particle swarm optimization. J Univers Comput Sci 18(13):1842–1852

    Google Scholar 

  2. Deep K, Yadav A, Kumar S (2012) Improving local and regional earthquake locations using an advance inversion technique: Particle swarm optimization. World J Model Simul 8(2):135–141

    Google Scholar 

  3. Rashedi E (2007) Gravitational search algorithm. MSc Thesis, Shahid Bahonar University of Kerman, Kerman (in Farsi)

  4. Rashedi E, Nezamabadi-pour H, Saryazdi S (2009) Gsa: a gravitational search algorithm. Inf Sci 179(13):2232–2248

    Article  Google Scholar 

  5. Li C, Zhou J (2011) Parameters identification of hydraulic turbine governing system using improved gravitational search algorithm. Energy Convers Manag 52(1):374–381

    Article  Google Scholar 

  6. Rashedi E, Nezamabadi-Pour H, Saryazdi S (2011) Filter modeling using gravitational search algorithm. Eng Appl Artif Intell 24(1):117–122

    Article  Google Scholar 

  7. Liang J, Runarsson T, Mezura-Montes E, Clerc M, Suganthan P, Coello C, Deb K (2006) Problem definitions and evaluation criteria for the cec 2006 special session on constrained real-parameter optimization. J Appl Mech 41:1–24

    Google Scholar 

  8. Coath G, Halgamuge S (2003) A comparison of constraint-handling methods for the application of particle swarm optimization to constrained nonlinear optimization problems. In: Evolutionary Computation, 2003. CEC’03. The 2003 Congress on, IEEE, vol 4, pp 2419–2425

  9. Coello Coello C (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Method Appl Mech Eng 191(11):1245–1287

    Article  Google Scholar 

  10. Fuentes Cabrera J, Coello Coello C (2007) Handling constraints in particle swarm optimization using a small population size. In: Gelbukh A, Kuri Morales AF (eds) Advances in Artificial Intelligence. Springer, Berlin, Heidleberg, pp 41–51

  11. Hu X, Eberhart R (2002) Solving constrained nonlinear optimization problems with particle swarm optimization. In: Proceedings of the sixth world multiconference on systemics, cybernetics and informatics, Citeseer, vol 5, Springer, Berlin, Heidelberg, pp 203–206

Download references

Acknowledgments

The first author is thankful to Council of Scientific and Industrial Research, HRDG Group for the financial support with grant No. 9834-11-44. I would also like to thanks to the anonymous reviewers for their valuable suggestion and comments for revising this article.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anupam Yadav.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yadav, A., Deep, K. Constrained Optimization Using Gravitational Search Algorithm. Natl. Acad. Sci. Lett. 36, 527–534 (2013). https://doi.org/10.1007/s40009-013-0165-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40009-013-0165-8

keywords

Navigation