Skip to main content

The Hybrid Framework for Multi-objective Evolutionary Optimization Based on Harmony Search Algorithm

  • Conference paper
  • First Online:
Lecture Notes in Real-Time Intelligent Systems (RTIS 2017)

Abstract

In evolutionary multi-objective optimization, an evolutionary algorithm is invoked to solve an optimization problem involving concurrent optimization of multiple objective functions. Many techniques have been proposed in the literature to solve multi-objective optimization problems including NSGA-II, MOEA/D and MOPSO algorithms. Harmony Search (HS), which is a relatively new heuristic algorithm, has been successfully used in solving multi-objective problems when combined with non-dominated sorting (NSHS) or the breakdown of the multi-objectives into scalar sub-problems (MOHS/D). In this paper, the performance of NSHS and MOHS/D is enhanced by using a previously proposed hybrid framework. In this framework, the diversity of the population is measured every a predetermined number of iterations. Based on the measured diversity, either local search or a diversity enhancement mechanism is invoked. The efficiency of the hybrid framework when adopting HS is investigated using the ZDT, DTLZ and CEC2009 benchmarks. Experimental results confirm the improved performance of the hybrid framework when incorporating HS as the main algorithm.

I. A. Doush—Dr. Iyad Abu Doush, Department Computer Science and Information Systems, American University of Kuwait, Salmiya, Kuwait.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Abraham, A., Jain, L.: Evolutionary multiobjective optimization. Springer (2005)

    Google Scholar 

  2. Abu Doush, I., Bataineh, M.Q.: Hybedrized NSGA-II and MOEA/D with Harmony Search Algorithm to Solve Multi-objective Optimization Problems, pp. 606–614. Springer (2015)

    Chapter  Google Scholar 

  3. Al-Betar, M.A., Doush, I.A., Khader, A.T., Awadallah, M.A.: Novel selection schemes for harmony search. Appl. Math. Comput. 218(10), 6095–6117 (2012)

    MATH  Google Scholar 

  4. Deb, K.: Multi-objective Optimization Using Evolutionary Algorithms. Wiley, Chichester (2001)

    MATH  Google Scholar 

  5. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: Nsga-ii. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  6. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable multi-objective optimization test problems. In: Proceedings of the Congress on Evolutionary Computation (CEC-2002), (Honolulu, USA), pp. 825–830 (2002)

    Google Scholar 

  7. Doush, I.A.: Harmony Search with Multi-Parent Crossover for Solving IEEE-CEC2011 Competition Problems, pp. 108–114. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  8. Doush, I.A., Al-Betar, M.A., Khader, A.T., Awadallah, M.A., Mohammed, A.B.: Analysis of takeover time and convergence rate for harmony search with novel selection methods. Int. J. Math. Model. Numer. Optim. 4(4), 305–322 (2013)

    MATH  Google Scholar 

  9. El-Abd, M.: An improved global-best harmony search algorithm. Appl. Math. Comput. 222, 94–106 (2013)

    MATH  Google Scholar 

  10. Esfe, M.H., Hajmohammad, H., Toghraie, D., Rostamian, H., Mahian, O., Wongwises, S.: Multi-objective optimization of nanofluid flow in double tube heat exchangers for applications in energy systems. Energy 137, 160–171 (2017)

    Article  Google Scholar 

  11. Geem, Z.W., Kim, J.H., Loganathan, G.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)

    Article  Google Scholar 

  12. Gutjahr, W.J., Pichler, A.: Stochastic multi-objective optimization: a survey on non-scalarizing methods. Ann. Oper. Res. 236(2), 475–499 (2016)

    Article  MathSciNet  Google Scholar 

  13. Li, H., Zhang, Q.: Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II. IEEE Trans. Evol. Comput. 13(2), 284–302 (2009)

    Article  Google Scholar 

  14. Pavelski, L.M., Almeida, C.P., Gonalves, R.A.: Harmony search for multi-objective optimization. In: 2012 Brazilian Symposium on Neural Networks (SBRN), pp. 220–225. IEEE (2012)

    Google Scholar 

  15. Reyes Sierra, M., Coello Coello, C.A.: Multi-objective particle swarm optimizers: a survey of the state-of-the-art. Int. J. Comput. Intell. Res. 2(3), 287–308 (2006)

    MathSciNet  Google Scholar 

  16. Ricart, J., Hüttemann, G., Lima, J., Barán, B.: Multiobjective harmony search algorithm proposals. Electron. Notes Theor. Comput. Sci. 281, 51–67 (2011)

    Article  Google Scholar 

  17. Sindhya, K., Miettinen, K., Deb, K.: A hybrid framework for evolutionary multi-objective optimization. IEEE Trans. Evol. Comput. 17(4), 495–511 (2013)

    Article  Google Scholar 

  18. 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 

  19. Zhang, Q., Zhou, A., Zhao, S., Suganthan, P.N., Liu, W., Tiwari, S.: Multiobjective optimization test instances for the CEC 2009 special session and competition. University of Essex, Colchester, UK and Nanyang Technological University, Singapore, Special Session on Performance Assessment of Multi-Objective Optimization Algorithms, Technical report (2008)

    Google Scholar 

  20. Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: empirical results. Evol. Comput. 8(2), 173–195 (2000)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Iyad Abu Doush .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Doush, I.A., Bataineh, M.Q., El-Abd, M. (2019). The Hybrid Framework for Multi-objective Evolutionary Optimization Based on Harmony Search Algorithm. In: Mizera-Pietraszko, J., Pichappan, P., Mohamed, L. (eds) Lecture Notes in Real-Time Intelligent Systems. RTIS 2017. Advances in Intelligent Systems and Computing, vol 756. Springer, Cham. https://doi.org/10.1007/978-3-319-91337-7_13

Download citation

Publish with us

Policies and ethics