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By Neil C. Rowe

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1990) Traffic routing algorithm for serial superchip system customisation. lEE Proc .. 137, Pt. E, 1 Hoffman G. , Benson M. W. (1986) Neurons with hysteresis form a network that can learn without any changes in synaptic connection strengths. Proc. of AlP Conf. on Neural Networks for Computin~ (Ed. J. S. Denker, AlP 1986) Hopfield J. J. (1982) Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA, 79, 2554-2558 Hopfield J. , Tank D. (1986) Computing with neural circuits: A model.

Conf. on neural networks, vol. 479-486. Thakoor A. P. , (1987), Electronic hardware implementations of neural networks, Am>lied Optics, vol. 5085-5092. , and Lee K. , (1991), Artificial neural networks for four-coloring problems and k-colorability problems, IEEE Trans. 326-333. 5 EXERCISES 1. Build two simulators based on Eq. 3) and E. 4) and observe the effect of the hill-climbing and that of the normalization in Eq. 4) 2. Explain a role of the normalization in Eq. 4) and how it is obtained. 3.

H the N-queen problem from the crossbar switch problem since they are very similar to each other except the diagonal constraints in N-queen problems. Eq. 8) with the hill-climbing term in Eq. 9) is exactly equivalent to Eq. 1) after removing B-term (diagonal terms) from Eq. 8). In other words, the crossbar switch scheduling problem is considered as N-rook problem where a rook commands horizontally and vertically. The positions of the rooks are equivalent to the state of the traffic matrix. The goal of the N x N crossbar switch scheduling problem is to place N mutually non attacking rooks on an N x N chessboard.

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