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Construction of integral objective function/fitness function of multi-objective/multi-disciplinary optimization

Zhu, Z. Q. ; Liu, Z. ; Wang, X. L. and Yu, R. X. LU (2004) In CMES - Computer Modeling in Engineering and Sciences 6(6). p.567-576
Abstract

To extend an available mono-objective optimization method to multi-objective/multi-disciplinary optimization, the construction of a suitable integral objective function (in gradient based deterministic method-DM) or fitness function (in genetic algorithm-GA) is important. An auto-adjusting weighted object optimization (AWO) method in DM is suggested to improve the available weighted sum method (linear combined weighted object optimizationLWO method). Two formulae of fitness function in GA are suggested for two kinds of design problems. Flow field solution is obtained by solving Euler equations. Electromagnetic field solution is obtained by solving Maxwell equations. Bi-disciplinary optimization computation is carried out by coupling... (More)

To extend an available mono-objective optimization method to multi-objective/multi-disciplinary optimization, the construction of a suitable integral objective function (in gradient based deterministic method-DM) or fitness function (in genetic algorithm-GA) is important. An auto-adjusting weighted object optimization (AWO) method in DM is suggested to improve the available weighted sum method (linear combined weighted object optimizationLWO method). Two formulae of fitness function in GA are suggested for two kinds of design problems. Flow field solution is obtained by solving Euler equations. Electromagnetic field solution is obtained by solving Maxwell equations. Bi-disciplinary optimization computation is carried out by coupling these two solutions with a nonlinear optimization method. Numerical results show that the needed Pareto solutions can be effectively obtained by using these suggested methods to meet the original design requirements.

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author
; ; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Euler equations, Genetic algorithms, Maxwell equations, Multiobjective/multidisciplinary optimization
in
CMES - Computer Modeling in Engineering and Sciences
volume
6
issue
6
pages
10 pages
publisher
Tech Science Press
external identifiers
  • scopus:11144290779
ISSN
1526-1492
language
English
LU publication?
no
id
27517759-e5a2-42d0-b78b-14e239daf6d5
date added to LUP
2019-09-13 13:04:50
date last changed
2022-02-01 00:36:01
@article{27517759-e5a2-42d0-b78b-14e239daf6d5,
  abstract     = {{<p>To extend an available mono-objective optimization method to multi-objective/multi-disciplinary optimization, the construction of a suitable integral objective function (in gradient based deterministic method-DM) or fitness function (in genetic algorithm-GA) is important. An auto-adjusting weighted object optimization (AWO) method in DM is suggested to improve the available weighted sum method (linear combined weighted object optimizationLWO method). Two formulae of fitness function in GA are suggested for two kinds of design problems. Flow field solution is obtained by solving Euler equations. Electromagnetic field solution is obtained by solving Maxwell equations. Bi-disciplinary optimization computation is carried out by coupling these two solutions with a nonlinear optimization method. Numerical results show that the needed Pareto solutions can be effectively obtained by using these suggested methods to meet the original design requirements.</p>}},
  author       = {{Zhu, Z. Q. and Liu, Z. and Wang, X. L. and Yu, R. X.}},
  issn         = {{1526-1492}},
  keywords     = {{Euler equations; Genetic algorithms; Maxwell equations; Multiobjective/multidisciplinary optimization}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{6}},
  pages        = {{567--576}},
  publisher    = {{Tech Science Press}},
  series       = {{CMES - Computer Modeling in Engineering and Sciences}},
  title        = {{Construction of integral objective function/fitness function of multi-objective/multi-disciplinary optimization}},
  volume       = {{6}},
  year         = {{2004}},
}