Formula
Productive minutes per autonomous mobile robot = operating hours × 60 × utilization
Tasks per autonomous mobile robot = floor(productive minutes ÷ cycle minutes)
Fleet size = ceiling(daily tasks ÷ tasks per autonomous mobile robot)
What the result means
The result is the minimum whole fleet that has enough modeled daily capacity. Spare capacity is the difference between installed capacity and the required task count.
This is a throughput-sizing model. It does not simulate traffic conflicts, dispatch rules, queue peaks, charging schedules, or station bottlenecks.