Skip to main content

A Multi-objective Biogeography-Based Optimization with Mean Value Migration Operator

  • Conference paper
  • First Online:
Frontier and Future Development of Information Technology in Medicine and Education

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 269))

  • 138 Accesses

Abstract:

Considering its successful application in solving discrete single objective problems, biogeography-based optimization (BBO) is considered as a new promising intelligent algorithm. Therefore, many studies are conducted to apply it to solve multi-objective optimization problems (MOPs). However, these improved BBOs are not always effective because of the complexity of MOPs. A multi-objective biogeography-based algorithm with mean value migration operator named MVBBO is proposed in this paper. In MVBBO, mean value theory and new boundary constraint rule are adopted to extend the range of feasible domain. Meanwhile, mutation operator and ε-dominance-based archive strategy are employed to achieve better convergence and diversity. Simulation on benchmark functions shows that the proposed MVBBO’s final Pareto solution set is better than NSGA-II and other improved multi-objective BBOs in convergence and distribution of Pareto solutions.

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 429.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 549.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 549.99
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. Zheng X, Liu H (2010) A scalable coevolutionary multi-objective particle swarm optimizer. Int J Comput Intell Syst 3(5):590–600

    Google Scholar 

  2. Simon D (2008) Biogeography-based optimization. IEEE Trans Evol Comput 12(6):702–713

    Article  Google Scholar 

  3. Haiping MA (2010) An analysis of the equilibrium of migration models for biogeography-based optimization. Inf Sci 180(18):3444–3464

    Article  MATH  Google Scholar 

  4. Dawei Du, Simon D, Ergezer M (2009) Biogeography-based optimization combined with evolutionary strategy and immigration refusal systems. In: IEEE International Conference on Man and Cybernetics, pp 997–1002

    Google Scholar 

  5. Gong W, Cai Z, Ling CX (2010) DE/BBO: a hybrid differential evolution with biogeography-based optimization for global numerical optimization. Soft Comput 15(4):645–665

    Article  Google Scholar 

  6. Bhattacharya A, Chattopadhyay PK (2010) Biogeography-based optimization for different economic load dispatch problems. IEEE Trans Power Syst 25(2):1064–1077

    Article  Google Scholar 

  7. Zhidan XU, Hongwei MO (2012) Improvement for migration operator in biogeography-based optimization algorithm. Pattern Recognit Artif Intell 25(3):544–549 (In Chinese with English Abstract)

    Google Scholar 

  8. Costa E, Silva MA, Coelho LS, Lebensztajn L (2012) Multiobjective biogeography-based optimization based on predator-prey approach. IEEE Trans Magn 48(2):951–954

    Article  Google Scholar 

  9. Jamuna K, Swarup KS (2012) Multi-objective biogeography based optimization for optimal PMU placement. Appl Soft Comput 12(5):1503–1510

    Article  Google Scholar 

  10. Zheng X, Liu H (2009) A hybrid vertical mutation and self-adaptation based MOPSO. Comput Math Appl 57(11):2030–2038

    Google Scholar 

  11. Deb K, Pratap A, Agarwal S et al (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197

    Article  Google Scholar 

  12. Zhang M, Luo W, Wang X (2009) A normal distribution crossover for ε-MOEA. J Software 20(2):305–314. (In Chinese with English Abstract)

    Google Scholar 

  13. Chen M, Zhang C, Luo C (2009) Adaptive evolutionary particle swarm algorithm for multi-objective optimization. J Syst Simul 21(22):7061–7065 (In Chinese with English Abstract)

    Google Scholar 

Download references

Acknowledgments

We are grateful for the support of the Promotive Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province (BS2010DX033) and a Project of Shandong Province Higher Educational Science and Technology Program (J10LG08).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kai-ge Gao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Gao, Kg., Zheng, Xw., Wang, Xg., Ma, Cz. (2014). A Multi-objective Biogeography-Based Optimization with Mean Value Migration Operator. In: Li, S., Jin, Q., Jiang, X., Park, J. (eds) Frontier and Future Development of Information Technology in Medicine and Education. Lecture Notes in Electrical Engineering, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7618-0_65

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-7618-0_65

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7617-3

  • Online ISBN: 978-94-007-7618-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics