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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

Total work content is the sum of every station's work time for one unit. Cycle time is the pace the line runs at: takt time, or the slowest station's time if that is longer than takt.

Not sure? Work it out with the takt time calculator

Work time at each station

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)

Work time by station against takt (dashed line). The brightest bar is the bottleneck.

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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 benchmark

A line with a takt time of 60 seconds and six stations taking 50, 40, 60, 35, 45 and 40 seconds per unit.

  1. 1Total work content = 50 + 40 + 60 + 35 + 45 + 40 = 270 s.
  2. 2The slowest station (station 3) takes 60 s, equal to takt, so the cycle time is 60 s.
  3. 3Line efficiency = 270 ÷ (6 × 60) = 270 ÷ 360 = 75%. Balance delay = 25%, or 90 s of idle time per cycle.
  4. 4Minimum stations = 270 ÷ 60 = 4.5, rounded up to 5.
The line is 75% efficient and uses one station more than the minimum. If the same 270 seconds of work could be split across five stations within takt, efficiency would be 270 ÷ (5 × 60) = 90%.

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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 Balancing

FAQ

Line balancing calculator: common questions