Sums it up pretty well
The system needs to be designed in a different way: “We guarantee processing within x hours (weekdays) from the point you’ve provided us a full-kit.”
This, in turn, requires thinking backwards from the result through all steps, resulting in a definition of what a full-kit entails. Of course this requires a different (system) thinking which is contradicted by the rigid hierarchy (and no, doing away with the hierarchy isn’t a solution either).
Work force would not be busy 80% of their time = capacity to go back and forth to figure what’s missing and switch around cases. When starting with full-kit, 80% of their wasted time becomes processing time. In turn, their throughput was 20%, it goes up to 100%, or x5.