Comparative study of extended sequential differential evolutions

  • Authors:
  • Kiyoharu Tagawa;Hiroshige Takada

  • Affiliations:
  • School of Science and Engineering, Kinki University, Higashi, Osaka, Japan;School of Science and Engineering, Kinki University, Higashi, Osaka, Japan

  • Venue:
  • ACE'10 Proceedings of the 9th WSEAS international conference on Applications of computer engineering
  • Year:
  • 2010

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Abstract

Many of the conventional Differential Evolutions (DEs) have employed the discrete generation model that uses two populations, namely, old one and new one. Recently, a new DE based on the continuous generation model is proposed. The new DE is sometimes called Sequential DE (SDE). In the continuous generation model, only one population is used. In this paper, besides SDE, two types of extended SDEs are presented. The first one is called Transversal Differential Evolution (TDE). The second one is called Dispersive Differential Evolution (DDE). In both extended SDEs, more than one trial vectors are generated from a target vector. Then each of the trial vectors is compared with the target vector. However, the place that makes a set of the trial vectors is different in TDE and DDE. In order to evaluate the performances of the three new DEs, namely, SDE, TDE and DDE, not only the numerical experiment but also the statistical test is conducted on various benchmark problems.