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The slotted ALOHA protocol is modified to accommodate stations with multiple directional antennas in a multihop packet radio network environment. The one-hop throughput is derived for both the Poisson station distribution and the deterministic lattice station distribution. Numerical results show that the throughput values are very close for the two distributions. If the number of stations in the transmission circle is fairly large, say 50, the throughput gain using directional antennas could be as large as the number of directional antennas used.