Time slot assignment algorithms in IEEE 802.16j multi-hop relay networks often assume simple radio interference models based on the distance or the number of hops between nodes for simplicity. However, by using more detailed models that consider the signal to interference plus noise ratio, we expect to obtain more effective time slot assignment which gives higher network performance. In this paper, we evaluate the performance of time slot assignment algorithms based on various radio interference models by considering differences in the radio propagation environment and the use of adaptive modulation and coding. Through performance evaluations, we clarify the effect of the parameter settings in the radio interference models on the network performance. We also demonstrate that by carefully choosing the parameters in the simple models, we can obtain almost the same network performance as from the detailed models.