J. Mandziuk, SOLVING THE N-QUEENS PROBLEM WITH A BINARY HOPFIELD-TYPE NETWORK - SYNCHRONOUS AND ASYNCHRONOUS MODEL, Biological cybernetics, 72(5), 1995, pp. 439-445
The application of a discrete Hopfield-type neural network to solving
the NP-Hard optimization problem - the N-Queens Problem (NQP) - is pre
sented. The applied network is binary, and at every moment each neuron
potential is equal to either 0 or 1. The network can be implemented i
n the asynchronous mode as well as in the synchronous one with n paral
lel running processors. In both cases the convergence rate is up to 10
0%, and the experimental estimate of the average computational complex
ity is polynomial. Based on the computer simulation results and the th
eoretical analysis, the proper network parameters are established. The
behaviour of the network is explained.