International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2568

Full Length Research Paper

Performance evaluation of multi objective differential evolution algorithm (MDEA) strategies

Fred Otieno and Josiah Adeyemo*  
Durban University of Technology, P. O. Box 1334, Durban, 4000, South Africa.
Email: [email protected], [email protected]

  •  Accepted: 28 February 2013
  •  Published: 09 March 2013

Abstract

This study presents the results of comparison of the four strategies of multiobjective differential evolution algorithm (MDEA) namely, MDEA1, MDEA2, MDEA3 and MDEA4 in solving five test problems and an engineering design problem. The test problems are ZDT1, ZDT2, ZDT3, ZDT4 and ZDT6. MDEA is a multiobjective algorithm developed from differential evolution, which is an evolutionary algorithm, to solve multiobjective optimization problems. The strategies were also compared with the results obtained from two other similar algorithms: NSGAII and DEMO. It was found that strategies of MDEA named MDEA1 and MDEA2 with binomial crossover method outperformed other two strategies named MDEA3 and MDEA4 with exponential crossover method in solving ZDT1 and ZDT4 while MDEA3 and MDEA4 outperformed MDEA1 and MDEA2 in solving ZDT2 and ZDT6. All the strategies performed equally in solving the engineering design problem presented. It was concluded that the strategies of MDEA are comparable/better than similar algorithms presented in solving the test problems and the engineering design problem.

 

Key words: Multiobjective differential evolution algorithm (MDEA), multiobjective, evolutionary algorithm, differential evolution.