Probabilistic Harmony Search Algorithm: Fitness Proportionate Selection Variants

  • Conference paper
  • First Online:
Intelligent Systems and Applications

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 959))

  • 555 Accesses

Abstract

Harmony search algorithm is a meta-heuristic, nature-inspired optimization algorithm that tries to mimic real-life improvisations that musicians use to generate a harmony that is more pleasing to hear. This paper presents and compares three different types of harmony search algorithms. We start with the implementation of the original HSA. Further, two different modifications were made to the original HSA, the first one uses fitness proportionate selection of harmonies from the HM and is known as biased Roulette harmony search algorithm (BRHSA) and the second one builds on BRHSA by adding simple mathematics to further guide the algorithm toward the desired solution and is called guided biased Roulette harmony search algorithm (GBRHSA). These three variants of HSA were applied on four benchmark test functions on the same machine, and the results obtained after 30 runs were noted down for comparison. It was observed that the results given by the three variants had no specific trend in terms of best result or computational time and the performance of a particular variant was subject to parameters like the kind of function and its search domain. The results presented in this paper can be used as a foundation for the future works that will be done on this algorithm and can help derive an apt variant of HSA for solving a particular problem.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68

    Article  Google Scholar 

  2. Lingaraj H (2016) A study on genetic algorithm and its applications. Int J Comput Sci Eng 4:139–143

    Google Scholar 

  3. Amjad MK, Butt SI, Kousar R, Ahmad R, Agha MH, Fa** Z, Anjum N, Asgher U (2018) Recent research trends in genetic algorithm based flexible job shop scheduling problems. Math Probl Eng 2018(9270802):32. https://doi.org/10.1155/2018/9270802

  4. Kumar SR, Singh KD (2021) Nature-inspired optimization algorithms: research direction and survey

    Google Scholar 

  5. Suman B (2004) Study of simulated annealing-based algorithms for multiobjective optimization of a constrained problem. Comput Chem Eng 28:1849–1871. https://doi.org/10.1016/j.compchemeng.2004.02.037

    Article  Google Scholar 

  6. Dorigo M, Birattari M, Stützle T (2006) Ant colony optimization. Comput Intell Mag IEEE 1:28–39. https://doi.org/10.1109/MCI.2006.329691

    Article  Google Scholar 

  7. Pei Y, Wang W, Zhang S (2012) Basic ant colony optimization. In: 2012 International conference on computer science and electronics engineering, pp 665–667. https://doi.org/10.1109/ICCSEE.2012.178

  8. Fahad LG, Tahir SF, Shahzad W, Hassan M, Alquhayz H, Hassan R (2020) Ant colony optimization-based streaming feature selection: an application to the medical image diagnosis. Sci Program 2020(1064934):10

    Google Scholar 

  9. Karaboga D, Basturk B (2008) On the performance of artificial bee colony (ABC) algorithm. Appl Soft Comput J 8:687–697

    Article  Google Scholar 

  10. Sharma A, Sharma A, Choudhary S (2020) A review on artificial bee colony and it’s engineering applications. J Crit Rev 7(11)

    Google Scholar 

  11. Singh P (2016) A systematic review on artificial bee colony optimization technique. Int J Control Theory Appl 9:5487–5500

    Google Scholar 

  12. Askarzadeh A, Rashedi E (2018) Harmony search algorithm: basic concepts and engineering applications. https://doi.org/10.4018/978-1-5225-5643-5.ch001

  13. Kim JH (2016) Harmony search algorithm: a unique music-inspired algorithm. Procedia Eng 154:1401–1405. https://doi.org/10.1016/j.proeng.2016.07.510

    Article  Google Scholar 

  14. Geem ZW (2009) Music-inspired harmony search algorithm. Stud Comput Intell 191

    Google Scholar 

  15. Oliva D, Cuevas E, Pajares G, Zaldivar D, Perez-Cisneros M (2013) Multilevel thresholding segmentation based on harmony search optimization. J Appl Math 2013(575414):24. https://doi.org/10.1155/2013/575414

  16. Saka M, Aydogdu I, Hasançebi O, Geem ZW (2011) Harmony search algorithms in structural engineering. https://doi.org/10.1007/978-3-642-20986-4_6

  17. Choi YH, Eghdami S, Ngo TT, Chaurasia SN, Kim J-H (2019) Comparison of parameter-setting-free and self-adaptive harmony search

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ravi Yadav .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Yadav, R., Vullamparthi, S., Tapadia, A., Kulkarni, A.J., Kale, P. (2023). Probabilistic Harmony Search Algorithm: Fitness Proportionate Selection Variants. In: Kulkarni, A.J., Mirjalili, S., Udgata, S.K. (eds) Intelligent Systems and Applications. Lecture Notes in Electrical Engineering, vol 959. Springer, Singapore. https://doi.org/10.1007/978-981-19-6581-4_33

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-6581-4_33

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-6580-7

  • Online ISBN: 978-981-19-6581-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Navigation