We analyzed the AntNet routing scheme's performance by using the network queueing model, and calculated the optimal routing strategy to minimize end-to-end packet delay. In contrast to existing research, this paper provides the theoretical analytical methods for the AntNet scheme. After adapting the AntNet queueing model to a simple mesh network, we compared the AntNet routing scheme to the shortest path routing scheme and the optimal routing strategy. The AntNet scheme's load balancing effect gives it a smaller delay than the shortest path routing scheme in high intensity network environments, which have heavy traffic. However, the AntNet scheme does not match the optimal routing strategy's performance.