A Memetic Algorithm for Global Optimization of Multimodal Nonseparable Problems

Geng Zhang, Yangmin Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

23 Citations (Scopus)


It is a big challenging issue of avoiding falling into local optimum especially when facing high-dimensional nonseparable problems where the interdependencies among vector elements are unknown. In order to improve the performance of optimization algorithm, a novel memetic algorithm (MA) called cooperative particle swarm optimizer-modified harmony search (CPSO-MHS) is proposed in this paper, where the CPSO is used for local search and the MHS for global search. The CPSO, as a local search method, uses 1-D swarm to search each dimension separately and thus converges fast. Besides, it can obtain global optimum elements according to our experimental results and analyses. MHS implements the global search by recombining different vector elements and extracting global optimum elements. The interaction between local search and global search creates a set of local search zones, where global optimum elements reside within the search space. The CPSO-MHS algorithm is tested and compared with seven other optimization algorithms on a set of 28 standard benchmarks. Meanwhile, some MAs are also compared according to the results derived directly from their corresponding references. The experimental results demonstrate a good performance of the proposed CPSO-MHS algorithm in solving multimodal nonseparable problems.
Original languageEnglish
Article number7208825
Pages (from-to)1375-1387
Number of pages13
JournalIEEE Transactions on Cybernetics
Issue number6
Publication statusPublished - 1 Jun 2016
Externally publishedYes


  • Cooperative particle swarm optimizer (CPSO)
  • harmony search (HS)
  • memetic algorithm (MA)
  • nonseparable problem
  • particle swarm optimizer (PSO)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Information Systems
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering


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