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作者:

Sui, Yunkang (Sui, Yunkang.) | Zhang, Aiqing (Zhang, Aiqing.) | Long, Lianchun (Long, Lianchun.) (学者:龙连春)

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摘要:

It is sometimes necessary that offering an approximate model to substitute the real complex problem in optimization solution, but which can only approximate the original problem at a certain extent. The optimization model on unreliable approximation function will lead to oscillations of the iterative objective functions, and make convergence of the iterations being slowly even impossibly. Finally, the results may not sometimes satisfy the constraint conditions. The approximate model will increase the reliability in certain domain when the move limits are imposed on design variables. The strategies of giving move limits belong to criterion method and they are usually rough, because they are not rational results according to properties of constraint functions. This paper constructs a second-order approximate explicit function by accumulated information which substitutes the accurate function of the constraint condition as evaluation function to construct rational estimation formula of the move limits. Eventually, rational move limits are obtained and applied to SQP (Sequential Quadratic Programming). Examples show it is feasible and efficient.

关键词:

Constrained optimization Iterative methods Quadratic programming Rational functions

作者机构:

  • [ 1 ] [Sui, Yunkang]The Centre of Numerical Simulation for Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 2 ] [Zhang, Aiqing]The Centre of Numerical Simulation for Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 3 ] [Long, Lianchun]The Centre of Numerical Simulation for Engineering, Beijing University of Technology, Beijing 100022, China

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来源 :

Journal of Basic Science and Engineering

ISSN: 1005-0930

年份: 2008

期: 5

卷: 16

页码: 629-638

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