4-Rule Harmony Search Algorithm for Solving Computationally Expensive Optimization Test Problems

Ali Sadollah, Joong Hoon Kim, Young Hwan Choi, Negar Karamoddin

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This paper proposes an enhanced harmony search algorithm for solving computationally expensive benchmarks widely used in the literature. We explored the potential and applicability of the original harmony search (HS) algorithm through introducing an extended version of the algorithm integrated with a new dynamic search equation enabling the algorithm to take guided larger steps at the beginning of the search. In the 4-Rule Harmony Search (4RHS), an extra rule is added to the standard HS without adding any user parameters to existing initial parameters. The 4RHS algorithm is then tested through optimal solving of different well-known and well-used benchmarks from classical to so CEC’ 2015 series, where the results of the 4RHS are compared with simple and improved version of HS algorithms as well as other optimization techniques. The obtained optimization results show the attractiveness of the added rule into the standard HS.

Original languageEnglish
Title of host publicationAdvances in Harmony Search, Soft Computing and Applications, ICHSA 2019
EditorsJoong Hoon Kim, Zong Woo Geem, Donghwi Jung, Do Guen Yoo, Anupam Yadav
Number of pages8
ISBN (Print)9783030319663
Publication statusPublished - 2020
Event5th International Conference on Harmony Search, Soft Computing and Applications, ICHSA 2019 - Kunming, China
Duration: 2019 Jul 202019 Jul 22

Publication series

NameAdvances in Intelligent Systems and Computing
ISSN (Print)2194-5357
ISSN (Electronic)2194-5365


Conference5th International Conference on Harmony Search, Soft Computing and Applications, ICHSA 2019

Bibliographical note

Funding Information:
Acknowledgement. This work was supported by the National Research Foundation (NRF) of Korea under a grant funded by the Korean government (MSIP) (NRF-2019R1A2B5B03069810).

Publisher Copyright:
© 2020, Springer Nature Switzerland AG.


  • 4-Rule harmony search
  • Benchmark
  • Computationally expensive
  • Harmony search
  • Optimal design

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science

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