A simple network model with torus topology and the virtual cut-through routing has been considered in order to find out and analyze certain relationships between network parameters, load and performance. Simulation experiments for various values of network parameters (mesh size, message path length, and message length) have been performed. It is found that if the mesh linear dimension is at least twice as large as the message path length (the distance from source to destination) the network behavior (latency and saturation point) does not depend on the mesh size. Both theoretical and empirical results show that the saturation point is inversely proportional to the message length. If the network is in the steady state, a good agreement with Little's theorem has been observed.