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Cellular Harmony Search for Optimization Problems

Author

Listed:
  • Mohammed Azmi Al-Betar
  • Ahamad Tajudin Khader
  • Mohammed A. Awadallah
  • Mahmmoud Hafsaldin Alawan
  • Belal Zaqaibeh

Abstract

Structured population in evolutionary algorithms (EAs) is an important research track where an individual only interacts with its neighboring individuals in the breeding step. The main rationale behind this is to provide a high level of diversity to overcome the genetic drift. Cellular automata concepts have been embedded to the process of EA in order to provide a decentralized method in order to preserve the population structure. Harmony search (HS) is a recent EA that considers the whole individuals in the breeding step. In this paper, the cellular automata concepts are embedded into the HS algorithm to come up with a new version called cellular harmony search (cHS). In cHS, the population is arranged as a two‐dimensional toroidal grid, where each individual in the grid is a cell and only interacts with its neighbors. The memory consideration and population update are modified according to cellular EA theory. The experimental results using benchmark functions show that embedding the cellular automata concepts with HS processes directly affects the performance. Finally, a parameter sensitivity analysis of the cHS variation is analyzed and a comparative evaluation shows the success of cHS.

Suggested Citation

  • Mohammed Azmi Al-Betar & Ahamad Tajudin Khader & Mohammed A. Awadallah & Mahmmoud Hafsaldin Alawan & Belal Zaqaibeh, 2013. "Cellular Harmony Search for Optimization Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:139464
    DOI: 10.1155/2013/139464
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    References listed on IDEAS

    as
    1. Lipu Zhang & Yinghong Xu & Yousong Liu, 2012. "An Elite Decision Making Harmony Search Algorithm for Optimization Problem," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, July.
    2. Zong Woo Geem, 2013. "Economic Dispatch Using Parameter‐Setting‐Free Harmony Search," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Lipu Zhang & Yinghong Xu & Yousong Liu, 2012. "An Elite Decision Making Harmony Search Algorithm for Optimization Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Gaige Wang & Lihong Guo, 2013. "A Novel Hybrid Bat Algorithm with Harmony Search for Global Numerical Optimization," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    5. Jaco Fourie & Richard Green & Zong Woo Geem, 2013. "Generalised Adaptive Harmony Search: A Comparative Analysis of Modern Harmony Search," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-13, April.
    6. Jaco Fourie & Richard Green & Zong Woo Geem, 2013. "Generalised Adaptive Harmony Search: A Comparative Analysis of Modern Harmony Search," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    7. Zong Woo Geem, 2013. "Economic Dispatch Using Parameter-Setting-Free Harmony Search," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, May.
    8. Gaige Wang & Lihong Guo, 2013. "A Novel Hybrid Bat Algorithm with Harmony Search for Global Numerical Optimization," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-21, February.
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