A packing system for packing products (e.g., medications) and other components into a container for shipping to customers is provided. The packing system includes a system controller that directs carrier devices along routes between task stations. The system controller can monitor the tasks performed by the task stations, the locations of the carrier devices, the tasks yet to be performed to complete packing of the containers at the task stations, and queues of other carrier devices at the stations. Based on this information, the system controller may direct the carrier devices to different stations and may change the task performed by or assigned to one or more of the stations.