Presentation 2001/11/22
An Optimization Method for Quadratic Assignment Problems by Chaotic Dynamics and its Characterization by Lyapunov Dimensions
K. Sato, T. Ikeguchi, M. Hasegawa, K. Aihara,
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Abstract(in English) In this paper, we solve quadratic assignment problems by the chaotic neural network (CNN) and analyze its nonlinear dynamics. As a result, we show by numerical simulations that if we could determine the parameters appropriately, the chaotic neural network offers good solutions. For evaluating the characteristics of the chaotic dynamics, we measure Lyapunov spectra and Lyapunov dimensions, which evaluate orbital instability, one of the important aspects of chaotic dynamics. As a result, it is shown that solvable performance exhibits higher when the Lyapunov dimensions are relatively lower values.
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Keyword(in English) Chaotic Neural Network / Quadratic Assignment Problems / Lyapunov Spectrum / Lyapunov
Paper # NLP2001-69
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Committee NLP
Conference Date 2001/11/22(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Optimization Method for Quadratic Assignment Problems by Chaotic Dynamics and its Characterization by Lyapunov Dimensions
Sub Title (in English)
Keyword(1) Chaotic Neural Network
Keyword(2) Quadratic Assignment Problems
Keyword(3) Lyapunov Spectrum
Keyword(4) Lyapunov
1st Author's Name K. Sato
1st Author's Affiliation Graduate School of Science and Engineering, Saitama University()
2nd Author's Name T. Ikeguchi
2nd Author's Affiliation Graduate School of Science and Engineering, Saitama University
3rd Author's Name M. Hasegawa
3rd Author's Affiliation Wiruless Communications Division, Communicatin Research Laboratory
4th Author's Name K. Aihara
4th Author's Affiliation Graduate School of Frontier Sciences, The University of Tokyo
Date 2001/11/22
Paper # NLP2001-69
Volume (vol) vol.101
Number (no) 465
Page pp.pp.-
#Pages 8
Date of Issue