Proposal of an N-parallel computation method for a neural network for the N queens problem

This paper presents an N² neuron N-parallel computation method for a neural network for the N queens problem. In this method, the N² neurons are partitioned into N groups of N neurons, where the states of N neurons in N different groups are updated synchronously and the states in the same group are updated sequentially. First, we compare the performance of two existing neural networks for the N queens problem in order to show that Takefuji's neural network is best in the sequential method. Then, we show that even the improved neural network using the N²-parallel method cannot provide the same performance as that using the using sequential method. Lastly, we propose an N-parallel method to achieve high performance and parallel computation simultaneously.