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Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems

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Main Authors: Shamshul Bahar, Yaakob, Prof. Madya, Watada, Junzo
Format: Book chapter
Language:English
Published: Springer-Verlag Berlin Heidelberg 2010
Subjects:
Bilevel programming
Double-layered hybrid neural network
Neural network
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/8513
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spelling my.unimap-85132013-03-01T07:15:57Z Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems Shamshul Bahar, Yaakob, Prof. Madya Watada, Junzo Bilevel programming Double-layered hybrid neural network Neural network Link to publisher's homepage at http://www.springerlink.com/ In this paper we build a double-layered hybrid neural network method to solve mixed integer quadratic bilevel programming problems. Bilevel programming problems arise when one optimization problem, the upper problem, is constrained by another optimization, the lower problem. In this paper, mixed integer quadratic bilevel programming problem is transformed into a double-layered hybrid neural network. We propose an efficient method for solving bilevel programming problems which employs a double-layered hybrid neural network. A two-layered neural network is formulate by comprising a Hopfield network, genetic algorithm, and a Boltzmann machine in order to effectively and efficiently select the limited number of units from those available. The Hopfield network and genetic algorithm are employed in the upper layer to select the limited number of units, and the Boltzmann machine is employed in the lower layer to decide the optimal solution/units from the limited number of units selected by the upper layer.The proposed method leads the mixed integer quadratic bilevel programming problem to a global optimal solution. To illustrate this approach, several numerical examples are solved and compared. 2010-08-09T12:55:04Z 2010-08-09T12:55:04Z 2010 Book chapter Intergrated uncertainty management and applications, vol. 68, p. 221-230 978-3-642-11960-6 http://www.springerlink.com/content/v26546r72u7023l7/ http://hdl.handle.net/123456789/8513 en Advances in Soft Computing Springer-Verlag Berlin Heidelberg
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Bilevel programming
Double-layered hybrid neural network
Neural network
spellingShingle Bilevel programming
Double-layered hybrid neural network
Neural network
Shamshul Bahar, Yaakob, Prof. Madya
Watada, Junzo
Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems
description Link to publisher's homepage at http://www.springerlink.com/
format Book chapter
author Shamshul Bahar, Yaakob, Prof. Madya
Watada, Junzo
author_facet Shamshul Bahar, Yaakob, Prof. Madya
Watada, Junzo
author_sort Shamshul Bahar, Yaakob, Prof. Madya
title Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems
title_short Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems
title_full Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems
title_fullStr Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems
title_full_unstemmed Double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems
title_sort double-layered hybrid neural network approach for solving mixed integer quadratic bilevel problems
publisher Springer-Verlag Berlin Heidelberg
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/8513
_version_ 1643789221308137472
score 13.214268

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