An augmented lattice is introduced for the analysis of production lines of robots with the analysis set up using binary Petri-nets. It is known that the lattice production line configuration of robots is about the most flexible for industrial manufacturing. This lattice configuration is slightly extended to further increase the flexibility. This augmented lattice is investigated using a single-place, multiple transition model for the robot information flow and the connection decision making. Using this model and binary Petri-net theory, the equations describing the system are obtained for a cascade of n augmented lattices. From the equations, a discussion is given on prevention of net deadlock, system tolerance, and production efficiency.