| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
|---|---|---|
| Page(s) | 109 - 115 | |
| DOI | https://doi.org/10.1051/mmnp/20105718 | |
| Published online | 26 August 2010 | |
The Placement of Electronic Circuits Problem: A Neural Network Approach
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
* Corresponding author: E-mail:
mohamedettaouil@yahoo.fr
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
Mathematics Subject Classification: 14N10 / 94C05
Key words: placement of the electronic circuits problem (PECP) / continuous Hopfield networks (CHN) / quadratic Knapsack problem (QKP) / combinatorial problems
© EDP Sciences, 2010
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