Skip to main content

Multiple Chaotic Cuckoo Search Algorithm

  • Conference paper
  • First Online:
Advances in Swarm Intelligence (ICSI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10385))

Included in the following conference series:

Abstract

Cuckoo search algorithm (CSA) is a nature-inspired meta-heuristic based on the obligate brood parasitic behavior of cuckoo species, and it has shown promising performance in solving optimization problems. Chaotic mechanisms have been incorporated into CSA to utilize the dynamic properties of chaos, aiming to further improve its search performance. However, in the previously proposed chaotic cuckoo search algorithms (CCSA), only one chaotic map is utilized in a single search iteration which limited the exploitation ability of the search. In this study, we consider to utilize multiple chaotic maps simultaneously to perform the local search within the neighborhood of the global best solution found by CSA. To realize this, three kinds of multiple chaotic cuckoo search algorithms (MCCSA) are proposed by incorporating several chaotic maps into the chaotic local search parallelly, randomly or selectively. The performance of MCCSA is verified based on 48 widely used benchmark optimization functions. Experimental results reveal that MCCSAs generally perform better than CCSAs, and the MCCSA-P which parallelly utilizes chaotic maps performs the best among all 16 compared variants of CSAs.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and 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

Institutional subscriptions

References

  1. Osman, I.H., Kelly, J.P.: Meta-Heuristics: Theory and Applications. Springer Science & Business Media, Berlin (2012)

    Google Scholar 

  2. Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Trans. Evol. Comput. 1(1), 67–82 (1997)

    Article  Google Scholar 

  3. Yang, X.S., Deb, S.: Cuckoo search via lévy flights. In: Proceedings of World Congress on Nature & Biologically Inspired Computing (NaBIC 2009), pp. 210–214. IEEE (2009)

    Google Scholar 

  4. Fister Jr., I., Yang, X.S., Fister, D., Fister, I.: Cuckoo search a brief literature review. In: Yang, X.-S. (ed.) Cuckoo Search and Firefly Algorithm. SCI, vol. 516, pp. 49–62. Springer, Cham (2014). doi:10.1007/978-3-319-02141-6_3

    Chapter  Google Scholar 

  5. Ouyang, A., Pan, G., Yue, G., Du, J.: Chaotic cuckoo search algorithm for high-dimensional functions. J. Comput. 9(5), 1282–1290 (2014)

    Article  Google Scholar 

  6. Wang, G.G., Deb, S., Gandomi, A.H., Zhang, Z., Alavi, A.H.: A novel cuckoo search with chaos theory and elitism scheme. In: 2014 International Conference on Soft Computing and Machine Intelligence (ISCMI), pp. 64–69. IEEE (2014)

    Google Scholar 

  7. Wang, G., Deb, S., Gandomi, A.H., Zhang, Z., Alavi, A.H.: Chaotic cuckoo search. Soft. Comput. 20, 3349–3362 (2016)

    Article  Google Scholar 

  8. Wang, L., Zhong, Y.: Cuckoo search algorithm with chaotic maps. Math. Probl. Eng. 2015 (2015). Article ID 715635

    Google Scholar 

  9. Huang, L., Ding, S., Yu, S., Wang, J., Lu, K.: Chaos-enhanced cuckoo search optimization algorithms for global optimization. Appl. Math. Model. 40(5), 3860–3875 (2016)

    Article  MathSciNet  Google Scholar 

  10. Gao, S., Vairappan, C., Wang, Y., Cao, Q., Tang, Z.: Gravitational search algorithm combined with chaos for unconstrained numerical optimization. Appl. Math. Comput. 231, 48–62 (2014)

    MathSciNet  Google Scholar 

  11. Shen, D., Jiang, T., Chen, W., Shi, Q., Gao, S.: Improved chaotic gravitational search algorithms for global optimization. In: IEEE Congress on Evolutionary Computation (CEC), pp. 1220–1226. IEEE (2015)

    Google Scholar 

  12. Garcia, S., Fernandez, A., Luengo, J., Herrera, F.: Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: Experimental analysis of power. Inf. Sci. 180(10), 2044–2064 (2010)

    Article  Google Scholar 

  13. Gao, S., Wang, Y., Cheng, J., Inazumi, Y., Tang, Z.: Ant colony optimization with clustering for solving the dynamic location routing problem. Appl. Math. Comput. 285, 149–173 (2016)

    MathSciNet  Google Scholar 

Download references

Acknowledgment

This research was partially supported by the National Natural Science Foundation of China (Grant Nos. 11572084, 11472061, and 61472284), the project of Talent Development of Taizhou University (No. QD2016061) and JSPS KAKENHI Grant Number 17K12751, 15K00332 (Japan).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shangce Gao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Wang, S., Song, S., Yu, Y., Xu, Z., Yachi, H., Gao, S. (2017). Multiple Chaotic Cuckoo Search Algorithm. In: Tan, Y., Takagi, H., Shi, Y. (eds) Advances in Swarm Intelligence. ICSI 2017. Lecture Notes in Computer Science(), vol 10385. Springer, Cham. https://doi.org/10.1007/978-3-319-61824-1_58

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-61824-1_58

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-61823-4

  • Online ISBN: 978-3-319-61824-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics