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  • Population-based heuristic optimization methods like differential evolution (DE) depend largely on the generation of the initial population. The initial population not only affects the search for several iterations but often also has an influence on the final solution. The conventional method for generating the initial population is the use of computer-generated pseudo-random numbers, which may not be very effective. In the present study, we have investigated the potential of generating the initial population by integrating the non-linear simplex method of Nelder and Mead with pseudo-random numbers in a DE algorithm. The resulting algorithm named the non-linear simplex DE is tested on a set of 20 benchmark problems with box constraints and two real life problems. Numerical results show that the proposed scheme for generating the random numbers significantly improves the performance of DE in terms of fitness function value, convergence rate and average CPU time. The Author(s) 2011.
  • Population-based heuristic optimization methods like differential evolution (DE) depend largely on the generation of the initial population. The initial population not only affects the search for several iterations but often also has an influence on the final solution. The conventional method for generating the initial population is the use of computer-generated pseudo-random numbers, which may not be very effective. In the present study, we have investigated the potential of generating the initial population by integrating the non-linear simplex method of Nelder and Mead with pseudo-random numbers in a DE algorithm. The resulting algorithm named the non-linear simplex DE is tested on a set of 20 benchmark problems with box constraints and two real life problems. Numerical results show that the proposed scheme for generating the random numbers significantly improves the performance of DE in terms of fitness function value, convergence rate and average CPU time. The Author(s) 2011. (en)
Title
  • A simplex differential evolution algorithm: Development and applications
  • A simplex differential evolution algorithm: Development and applications (en)
skos:prefLabel
  • A simplex differential evolution algorithm: Development and applications
  • A simplex differential evolution algorithm: Development and applications (en)
skos:notation
  • RIV/61989100:27240/12:86092945!RIV15-MSM-27240___
http://linked.open...avai/riv/aktivita
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  • S
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Abraham Padath, Ajith
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 120614
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  • RIV/61989100:27240/12:86092945
http://linked.open...riv/jazykVysledku
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  • stochastic optimization; random numbers; initial population; differential evolution; Crossover (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [3100A3D1E367]
http://linked.open...i/riv/nazevZdroje
  • Transactions of the Institute of Measurement and Control
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 34
http://linked.open...iv/tvurceVysledku
  • Abraham Padath, Ajith
  • Pant, M.
  • Ali, M.
http://linked.open...ain/vavai/riv/wos
  • 000306556100004
issn
  • 0142-3312
number of pages
http://bibframe.org/vocab/doi
  • 10.1177/0142331211403032
http://localhost/t...ganizacniJednotka
  • 27240
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