Skip to main content

Study of an Adaptive Control of Aggregate Functions in MOEA/D

  • Conference paper
  • First Online:
Book cover Simulated Evolution and Learning (SEAL 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10593))

Included in the following conference series:

  • 3065 Accesses

Abstract

This paper proposed a new adaptive control mechanism of aggregation functions (scalarizing functions) in MOEA/D, “ADaptive control of Aggregation function dePending on a search condiTion (ADAPT)”. Although MOEA/D has been well known as one of the most powerful EMO algorithms, it hasn’t been resolved which aggregation function should be choose. It is strongly depended on characteristics of the problem which aggregation function of MOEA/D is best suited and very difficult to predict which one is best suited in advance. Our proposed ADAPT changes adaptively an aggregation function of MOEA/D according to the search condition. ADAPT uses multiple aggregation functions and multiple archives corresponding to each aggregation function. The important points of ADAPT is that the number of function calls is same as that of original MOEA/D.

In numerical examples, the characteristics and effectiveness of ADAPT were verified by comparing the performance of ADAPT with that of original MOEA/D (using a fixed aggregation function). The results of experiments indicated that ADAPT could obtain the solutions as same quality as that of original MOEA/D with the best suited aggregation function.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Bosman, P.A.N., Thierens, D.: The balance between proximity and diversity in multiobjective evolutionary algorithms. IEEE Trans. Evol. Comput. 7(2), 174–188 (2003)

    Article  Google Scholar 

  2. Huband, S., Barone, L., While, L., Hingston, P.: A scalable multi-objective test problem toolkit. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 280–295. Springer, Heidelberg (2005). doi:10.1007/978-3-540-31880-4_20

    Chapter  Google Scholar 

  3. Ishibuchi, H., Sakane, Y., Tsukamoto, N., Nojima, Y.: Simultaneous use of different scalarizing functions in MOEA/D. In: Proceedings of 12th Annual Conference on Genetic and Evolutionary Computation, GECCO 2010, pp. 519–526. ACM, New York (2010)

    Google Scholar 

  4. Deb, K.: Innovization: Innovative Solution Principles Using Multiobjective Optimization. Springer-Verlag New York Inc., New York (2012)

    Google Scholar 

  5. Sato, H.: Inverted PBI in MOEA/D and its impact on the search performance on multi and many-objective optimization. In: Proceedings of 2014 Annual Conference on Genetic and Evolutionary Computation, GECCO 2014, pp. 645–652. ACM (2014)

    Google Scholar 

  6. Yuan, B.Z.Y., Hua, X., Yao, X.: Balancing convergence and diversity in decomposition-based many-objective optimizers. IEEE Trans. Evol. Comput. 20(2), 180–198 (2016)

    Article  Google Scholar 

  7. Zhang, Q., Li, H.: MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)

    Article  Google Scholar 

  8. Zitzler, E., Thiele, L.: Multiobjective optimization using evolutionary algorithms - a comparative case study. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, H.-P. (eds.) PPSN 1998. LNCS, vol. 1498, pp. 292–301. Springer, Heidelberg (1998). doi:10.1007/BFb0056872

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shinya Watanabe .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Watanabe, S., Sato, T. (2017). Study of an Adaptive Control of Aggregate Functions in MOEA/D. In: Shi, Y., et al. Simulated Evolution and Learning. SEAL 2017. Lecture Notes in Computer Science(), vol 10593. Springer, Cham. https://doi.org/10.1007/978-3-319-68759-9_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-68759-9_26

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68758-2

  • Online ISBN: 978-3-319-68759-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics