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The Placement of Electronic Circuits Problem: A Neural NetworkApproach

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
M. Ettaouil ,
K. Elmoutaouakil  and
Y. Ghanou
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Abstract

The goal of this paper is to apply the Continuous Hopfield Networks (CHN) to thePlacement of Electronic Circuit Problem (PECP). This assignment problem has been expressedas Quadratic Knapsack Problem (QKP). To solve the PECP via the CHN, we choose an energyfunction which ensures an appropriate balance between minimization of the cost functionand simultaneous satisfaction of the PECP constraints. In addition, the parameters of thisfunction must avoid some bad local minima. Finally, some computational experiments solvingthe PECP are included

Keywords

placement of the electronic circuits problem (PECP)continuous Hopfield networks (CHN)quadratic Knapsack problem (QKP)combinatorial problems
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 109 - 115
Copyright
© EDP Sciences, 2010

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