Presentation 2002/3/13
A Gradient Dynamical System for Solving Mixed Equality- Inequality Constrained Optimization Problems and its Application to the 0 - 1 Optimization
Takeo IKAI, Koji KATAYAMA, Kunio FUKUNAGA,
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Abstract(in English) In this paper, a gradient dynamical system is derived for solving the optimization problems with mixed equality-inequality constraints, and is applied to the 0 - 1 optimization. This gradient dynamical system is the dynamical system an equilibrium point of which is equal to a local optimal solution, and is constructed from the Karush-Kuhn- Tucker optimality condition. Algorithms are also constructed for the direction vector and the variable step-size of an iteration method for solving the constrained optimization problems.
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Keyword(in English) mixed constrained optimization / gradient dynamical system / Hopfield-Uesaka optimization method / iteration method / variable step-size algorithm
Paper # NC2001-222
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Committee NC
Conference Date 2002/3/13(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Gradient Dynamical System for Solving Mixed Equality- Inequality Constrained Optimization Problems and its Application to the 0 - 1 Optimization
Sub Title (in English)
Keyword(1) mixed constrained optimization
Keyword(2) gradient dynamical system
Keyword(3) Hopfield-Uesaka optimization method
Keyword(4) iteration method
Keyword(5) variable step-size algorithm
1st Author's Name Takeo IKAI
1st Author's Affiliation Graduate School of Engineering, Osaka Prefecture University()
2nd Author's Name Koji KATAYAMA
2nd Author's Affiliation Graduate School of Engineering, Osaka Prefecture University
3rd Author's Name Kunio FUKUNAGA
3rd Author's Affiliation Graduate School of Engineering, Osaka Prefecture University
Date 2002/3/13
Paper # NC2001-222
Volume (vol) vol.101
Number (no) 737
Page pp.pp.-
#Pages 8
Date of Issue