The fourth industrial revolution aims to transform production systems. In this work Logical
Time which is a control principle for distributed systems is transferred to material handling
systems with decentralized control. The GridSorter a modular sorter with grid-like structure
is chosen as showcase system. The system is proven to be deadlock-free and is robust against
varying transport times. The time-window-based route reservation process is described as
Iterative Deepening A*.