Free tool
Line balancing calculator
Line balancing is spreading work across the stations of a line so that each station's workload is close to takt time and to the others. Line efficiency shows how evenly the work is spread, balance delay shows how much station time is lost to waiting, and total work divided by takt gives the fewest stations the line needs.
Line efficiencyequalsTotal work content divided by Number of stations × Cycle time
Balance delayequals1 − Line efficiency
Minimum stationsequalsTotal work content divided by Takt time, rounded up
Pre-filled with the worked example. A station's time is all the work one operator does on one unit there.
Line efficiency
75.0%
270 s of work spread over 6 stations at a 60 s cycle.
Balance delay
25.0%
Share of station time spent idle
Idle time per cycle
90 s
Across all stations
Minimum stations
5
Total work ÷ takt, rounded up
Bottleneck
Station 3
60 s (within takt)
How to calculate it
Station times against takt
Station times are the work one operator does on one unit at each station, measured or taken from time studies. Add them up for the total work content.
Takt time is the pace demand requires. If you don't have it yet, the takt time calculator works it out from shift time and demand.
The slowest station is the bottleneck. If it is within takt, the line runs at takt and every other station waits part of each cycle. If it is over takt, it sets the pace and the line falls short of demand. Drawing the station times as a Yamazumi chart makes both cases easy to see.
Worked example
Illustrative numbers, not a benchmarkA line with a takt time of 60 seconds and six stations taking 50, 40, 60, 35, 45 and 40 seconds per unit.
- 1Total work content = 50 + 40 + 60 + 35 + 45 + 40 = 270 s.
- 2The slowest station (station 3) takes 60 s, equal to takt, so the cycle time is 60 s.
- 3Line efficiency = 270 ÷ (6 × 60) = 270 ÷ 360 = 75%. Balance delay = 25%, or 90 s of idle time per cycle.
- 4Minimum stations = 270 ÷ 60 = 4.5, rounded up to 5.
Embed this calculator
Teaching this, or writing about it? Paste this code into your site, course page or intranet and the calculator works right there. It is free, with no sign-up.
<iframe src="https://www.theleansuite.com/tools/line-balancing-calculator/embed" title="Line balancing calculator by LeanSuite" width="100%" height="1350" 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/line-balancing-calculator">Line balancing calculator</a> by LeanSuite</p>How LeanSuite helps
From a video of your line, LeanSuite's Line Balancing charts each operator's work elements against takt, and lets you move elements between stations in a simulation to see the new balance before changing the line.
See Line BalancingFAQ
Line balancing calculator: common questions
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