Geodesic
The Placement of Electronic Circuits Problem: A Neural Network Approach
M. Ettaouil1 ; K. Elmoutaouakil1 ; Y. Ghanou1
1 Scientific Computing and Computer Science, Engineering Sciences Department of Mathematics and Computer Science, Faculty of Science and Technology of Fez, University Sidi Mohammed ben Abdellah Box 2202 Fez, Morocco
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 109-115.

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The goal of this paper is to apply the Continuous Hopfield Networks (CHN) to the Placement of Electronic Circuit Problem (PECP). This assignment problem has been expressed as Quadratic Knapsack Problem (QKP). To solve the PECP via the CHN, we choose an energy function which ensures an appropriate balance between minimization of the cost function and simultaneous satisfaction of the PECP constraints. In addition, the parameters of this function must avoid some bad local minima. Finally, some computational experiments solving the PECP are included
DOI : 10.1051/mmnp/20105718

M. Ettaouil 1 ; K. Elmoutaouakil 1 ; Y. Ghanou 1

1 Scientific Computing and Computer Science, Engineering Sciences Department of Mathematics and Computer Science, Faculty of Science and Technology of Fez, University Sidi Mohammed ben Abdellah Box 2202 Fez, Morocco 
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M. Ettaouil; K. Elmoutaouakil; Y. Ghanou. The Placement of Electronic Circuits Problem: A Neural Network Approach. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 109-115. doi : 10.1051/mmnp/20105718. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105718/

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