#3244 · AI & Technology Tool

Autonomous Mobile Robot Fleet Size Calculator

Calculate the minimum number of AMRs needed to complete a daily workload within a defined operating window. The model combines task demand, average cycle time, productive utilization, and operating hours, then rounds the requirement up and reports capacity per unit, total installed capacity, and spare capacity.

Calculator

Workload and fleet assumptions
tasks
min/task
%
hours/day

How to use this calculator

  1. Enter the full number of tasks that must be completed each day.
  2. Use a measured average cycle time including normal travel or handling.
  3. Set productive utilization after charging, waiting, and planned downtime.
  4. Enter the daily operating window and calculate the whole-unit fleet requirement.

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.

Example calculation

A workload of 480 daily tasks, 15 minutes per task, 82% productive utilization, and a 8-hour window gives 393.6 productive minutes and 26 whole tasks per unit. The minimum fleet is 19 AMRs.

Tips for better results

  • Measure cycle time across representative routes and task types.
  • Keep charging and waiting time out of productive utilization.
  • Run a peak-day workload case.
  • Add operational reserve only after calculating the minimum.
  • Check stations and aisles for bottlenecks before purchase.

Frequently asked questions

Does productive utilization include autonomous mobile robot charging time?

No. Productive utilization should be the share of the operating window available for completing tasks after charging, waiting, maintenance, and other losses.

Why is task capacity rounded down before fleet size is calculated?

A unit must finish a task for it to count toward daily capacity, so partial final tasks are excluded.

Should I add a spare unit to the calculated fleet?

The result is a modeled minimum. Add operational reserve separately when uptime targets, maintenance coverage, or demand variability require it.

How should mixed task types be entered?

Use a workload-weighted average cycle time or calculate each task class separately when their routes and handling times differ substantially.

Does this calculation account for traffic congestion between robots?

No. Validate the result with layout or fleet simulation when shared aisles, intersections, queues, or station limits could reduce throughput.

Fleet sizing variables

VariablePlanning role
Daily tasksRequired completed moves or jobs
Cycle timeAverage minutes for one complete task
UtilizationShare of scheduled time spent productively
Operating windowHours available to the autonomous mobile robot each day

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