Skip to main content

An Improved PBIL Algorithm for Optimal Coalition Structure Generation of Smart Grids

  • Conference paper
  • First Online:
Trends and Applications in Knowledge Discovery and Data Mining (PAKDD 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11154))

Included in the following conference series:

Abstract

Coalition structure generation in multi-agent systems has long been a challenging problem because of its NP-hardness in computational complexity. In this paper, we propose a stochastic optimization approach that employs a modified population based incremental learning algorithm and a customized genotype encoding scheme to find the optimal coalition structure for smart grids with renewable energy sources. Empirical results show that the proposed approach gives competitive performance compared with existing solutions such as genetic algorithm and dynamic programming.

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

Notes

  1. 1.

    Meteorological data obtained from “CliFlo: NIWA’s National Climate Database on the Web”, https://cliflo.niwa.co.nz/.

References

  1. Baluja, S.: Population-based incremental learning. a method for integrating genetic search based function optimization and competitive learning. Technical report No. CMU-CS-94-163, Carnegie-Mellon University, Department of Computer Science (1994)

    Google Scholar 

  2. Baluja, S., Caruana, R.: Removing the genetics from the standard genetic algorithm. In: Machine Learning: Proceedings of the Twelfth International Conference, pp. 38–46 (1995)

    Google Scholar 

  3. Björklund, A., Husfeldt, T., Koivisto, M.: Set partitioning via inclusion-exclusion. SIAM J. Comput. 39(2), 546–563 (2009)

    Article  MathSciNet  Google Scholar 

  4. Chalkiadakis, G., Elkind, E., Wooldridge, M.: Computational aspects of cooperative game theory. Synth. Lect. Artif. Intell. Mach. Learn. 5(6), 1–168 (2011)

    Article  Google Scholar 

  5. Changder, N., Dutta, A., Ghose, A.K.: Coalition structure formation using anytime dynamic programming. In: Baldoni, M., Chopra, A.K., Son, T.C., Hirayama, K., Torroni, P. (eds.) PRIMA 2016. LNCS (LNAI), vol. 9862, pp. 295–309. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-44832-9_18

    Chapter  Google Scholar 

  6. Lee, S.H.S., Deng, J.D., Peng, L., Purvis, M.K., Purvis, M.: Top-k merit weighting PBIL for optimal coalition structure generation of smart grids. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, E.S. (eds.) International Conference on Neural Information Processing, pp. 171–181. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-70093-9_18

    Chapter  Google Scholar 

  7. Michalak, T., Rahwan, T., Elkind, E., Wooldridge, M., Jennings, N.R.: A hybrid exact algorithm for complete set partitioning. Artif. Intell. 230(C), 14–50 (2016). 10.1016/j.artint.2015.09.006

    Article  MathSciNet  Google Scholar 

  8. Mohamed, M.A., Eltamaly, A.M., Alolah, A.I.: PSO-based smart grid application for sizing and optimization of hybrid renewable energy systems. PLoS ONE 11(8), e0159702 (2016)

    Article  Google Scholar 

  9. Rahwan, T., Michalak, T.P., Wooldridge, M., Jennings, N.R.: Coalition structure generation: a survey. Artif. Intell. 229, 139–174 (2015)

    Article  MathSciNet  Google Scholar 

  10. Sandholm, T., Larson, K., Andersson, M., Shehory, O., Tohmé, F.: Coalition structure generation with worst case guarantees. Artif. Intell. 111(1–2), 209–238 (1999)

    Article  MathSciNet  Google Scholar 

  11. Shoham, Y., Leyton-Brown, K.: Multiagent sYstems: Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press, Cambridge (2008)

    Book  Google Scholar 

  12. Wilf, H.S.: Generatingfunctionology, 2nd edn. Academic Press, Cambridge (1994)

    MATH  Google Scholar 

  13. Yeh, D.Y.: A dynamic programming approach to the complete set partitioning problem. BIT Numer. Math. 26(4), 467–474 (1986)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jeremiah D. Deng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Lee, S.HS., Deng, J.D., Purvis, M.K., Purvis, M., Peng, L. (2018). An Improved PBIL Algorithm for Optimal Coalition Structure Generation of Smart Grids. In: Ganji, M., Rashidi, L., Fung, B., Wang, C. (eds) Trends and Applications in Knowledge Discovery and Data Mining. PAKDD 2018. Lecture Notes in Computer Science(), vol 11154. Springer, Cham. https://doi.org/10.1007/978-3-030-04503-6_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-04503-6_33

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04502-9

  • Online ISBN: 978-3-030-04503-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics