This paper proposes the best method for controlling Automated Guided Vehicles on a single-track guideway with some sidetracks. In factories, Automated Guided Vehicles, or AGV, are operated in order to carry their products or materials. Although it is necessary to operate AGV anywhere in the factories, there are some limited spaces such as clean room or accessway. So we want to save the installation spaces for guideway in these situations. In this paper, we suggest to install a bidirectional single-track guideway where the sidetrack for passing each other was installed instead of traditional double-track guideway in order to save spaces for installation area with keeping transport efficiency and time across the track. And we clarify the knowledge about controlling AGV on the single-track guideway with high transport efficiency.