Free tool
Bottleneck calculator
A bottleneck is the step in a process with the least capacity, so it sets the output of the whole line. Each step's capacity is the number of machines or operators × 3,600 ÷ its cycle time in seconds × its uptime. The lowest of those is the bottleneck and the most the line can make per hour.
Step capacity per hourequalsMachines × 3,600 divided by Cycle time (s) × Uptime
Line capacityequalsLowest step capacity (the bottleneck)
Utilization of a stepequalsLine capacity divided by Step capacity
After breaks
Leave blank to skip
Pre-filled with the worked example. Cycle time is what one machine or operator takes per unit; uptime is the share of the day the step can really run, after breakdowns, changeovers and waiting for material.
Bottleneck
Step 2
64.8 units an hour: the most the whole line can make.
Line capacity
64.8 / h
The bottleneck's capacity
Units per day
518
At 8 hours a day
Share of demand met
94.3%
32 units a day short
Cycle time step 2 needs
47.1 s
Down from 50 s, to meet demand
Capacity of each step, and how busy it is at the bottleneck's pace
How to calculate it
Three numbers for each step
Cycle time is the time one machine or operator takes to finish one unit at that step. Time it on the floor rather than taking the standard from the routing; the two often differ.
Machines are the identical machines, booths or operators doing the same step side by side. Two welders working in parallel double the step's capacity.
Uptime is the share of the day the step can actually run after breakdowns, changeovers and waiting for material. This is where a step that looks fast on paper often turns out to be the real limit; the MTBF and MTTR calculator gives availability from breakdown data.
Add demand per day to see whether the line keeps up, and what cycle time the bottleneck would need. To spread work evenly across stations against takt time instead, use the line balancing calculator.
Worked example
Illustrative numbers, not a benchmarkA line with four steps runs 8 hours a day and needs to make 550 units: cutting (30 s, one machine, 100% uptime), welding (50 s, one welder, 90%), painting (90 s, two booths, 90%) and assembly (40 s, one operator, 100%).
- 1Cutting = 1 × 3,600 ÷ 30 × 1.0 = 120 units an hour.
- 2Welding = 1 × 3,600 ÷ 50 × 0.9 = 64.8 units an hour.
- 3Painting = 2 × 3,600 ÷ 90 × 0.9 = 72 units an hour. Assembly = 3,600 ÷ 40 = 90.
- 4Bottleneck = welding at 64.8 an hour, so 64.8 × 8 = 518 units a day.
- 5518.4 ÷ 550 = 94.3% of demand: 32 units a day short.
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<iframe src="https://www.theleansuite.com/tools/bottleneck-calculator/embed" title="Bottleneck calculator by LeanSuite" width="100%" height="1460" style="border:0;max-width:1000px" loading="lazy" allow="clipboard-write"></iframe>
<p style="font:13px/1.4 sans-serif"><a href="https://www.theleansuite.com/tools/bottleneck-calculator">Bottleneck calculator</a> by LeanSuite</p>How LeanSuite helps
Drop in a video of your line and LeanSuite's Line Balancing produces a Yamazumi chart, a takt comparison and rebalancing recommendations.
See Line BalancingFAQ
Bottleneck calculator: common questions
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