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Construction Example for Algebra System Using Harmony Search Algorithm

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  • FangAn Deng
  • Shouheng Tuo
  • Longquan Yong
  • Tao Zhou

Abstract

The construction example of algebra system is to verify the existence of a complex algebra system, and it is a NP-hard problem. In this paper, to solve this kind of problems, firstly, a mathematical optimization model for construction example of algebra system is established. Secondly, an improved harmony search algorithm based on NGHS algorithm (INGHS) is proposed to find as more solutions as possible for the optimization model; in the proposed INGHS algorithm, to achieve the balance between exploration power and exploitation power in the search process, a global best strategy and parameters dynamic adjustment method are present. Finally, nine construction examples of algebra system are used to evaluate the optimization model and performance of INGHS. The experimental results show that the proposed algorithm has strong performance for solving complex construction example problems of algebra system.

Suggested Citation

  • FangAn Deng & Shouheng Tuo & Longquan Yong & Tao Zhou, 2015. "Construction Example for Algebra System Using Harmony Search Algorithm," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-15, January.
    • Handle: RePEc:hin:jnlmpe:836925
    DOI: 10.1155/2015/836925
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    Cited by:

    1. Shouheng Tuo & Zong Woo Geem & Jin Hee Yoon, 2020. "A New Method for Analyzing the Performance of the Harmony Search Algorithm," Mathematics, MDPI, vol. 8(9), pages 1-17, August.

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