Optimal design of a Star-LAN includes a few important and difficult su
b-problems. An optimal HUB allocation problem is one of the sub-proble
ms. Neural networks based on the Boltzmann machine are suitable for so
lving such problems. In this paper, we apply the Boltzmann Machine Neu
ral Networks(BMNN) to optimal HUB allocation problems on a Star-LAN co
mputer networks. We also show some numerical experiments to demonstrat
e performances on solving the problems.