The continuous hopfield networks (CHN) for the placement of the electronic circuits problem

  • Authors:
  • M. Ettaouil;K. Elmoutaouakil;Y. Ghanou

  • Affiliations:
  • UFR: Scientific calculation and Computing, Engineering sciences, Department of Mathematics and Computer science, Faculty of Science and Technology, University Sidi Mohammed ben Abdellah, Fez, Moro ...;UFR: Scientific calculation and Computing, Engineering sciences, Department of Mathematics and Computer science, Faculty of Science and Technology, University Sidi Mohammed ben Abdellah, Fez, Moro ...;UFR: Scientific calculation and Computing, Engineering sciences, Department of Mathematics and Computer science, Faculty of Science and Technology, University Sidi Mohammed ben Abdellah, Fez, Moro ...

  • Venue:
  • WSEAS Transactions on Computers
  • Year:
  • 2009

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Abstract

The Placement of the Electronic Circuits Problem (PECP) is considered as one of the most difficult optimization problems. The PECP has been expressed as a Quadratic Knapsack Problem (QKP) with linear constraints. The goals of this work are to solve the Placement of the Electronic Circuits Problem (PECP) using the Continuous Hopfield Networks (CHN) and to illustrate, from a computational point of view, the advantages of CHN by its implement in the PECP. The resolution of the QKP via the CHN is based on some energy or Lyapunov function, which diminishes as the system develops until a local minimum value is obtained. The Decomposition approach was used to solve the PECP. This method suffers from problems of feasibility of solutions and long training time. Unlike the decomposition approach, the CHN is much faster and all the solutions are feasible. Finally, some computational experiments solving the PECP are included.