OEE & Takt Time

Overall equipment effectiveness splits lost production into availability, performance, and quality losses. Takt time sets the pace a line has to hold to meet demand. Enter one shift's numbers to get both, along with a station-by-station line-balance check.

OEE inputs

Shift length minus planned stops such as breaks, meetings, and scheduled maintenance.

Breakdowns, changeovers, material shortages, and any stop long enough to log.

The fastest sustainable design rate, such as nameplate or validated rate, not the average.

parts
parts

OEE results

OEE A × P × Q—
Availability A—
Performance P—
Quality Q—
Run time—
Good parts vs. theoretical maximum—
Parts lost to all losses—

Where the planned time went

0planned time

Takt time and line balance

Takt inputs

units

Use the same period for both, such as one shift or one day.

Manual work content plus machine time for each station, in line order. Leave blank to compute takt time only.

Takt results

Takt time—
Required output rate—
Bottleneck station—
Total work content—
Minimum stations ⌈Σt / takt⌉—
Efficiency vs. takt Σt / (N·takt)—
Balance efficiency Σt / (N·tmax)—
Capacity at bottleneck—

Station load vs. takt

How OEE is calculated

OEE compares the good parts actually made with the most that could have been made at the ideal rate during planned production time. It is the product of three factors, each covering a different kind of loss:

\[ A = \frac{\text{run time}}{\text{planned production time}}, \qquad P = \frac{\text{ideal cycle time} \times \text{total count}}{\text{run time}}, \qquad Q = \frac{\text{good count}}{\text{total count}} \]
\[ \text{OEE} = A \times P \times Q = \frac{\text{good count} \times \text{ideal cycle time}}{\text{planned production time}} \]

The second form is a useful check: OEE is the fraction of planned time spent making good parts at full speed. The three factors match the “six big losses” of Total Productive Maintenance:

The often-quoted world-class benchmark of 85 % (90 % availability × 95 % performance × 99.9 % quality) is usually attributed to Nakajima's TPM work. It is a commonly cited reference point, not a standard. OEE is most useful for tracking one machine or line over time and for showing which loss to attack first, not for comparing different plants.

Takt time and line balancing

\[ \text{takt} = \frac{\text{available working time}}{\text{customer demand}}, \qquad N_\text{min} = \left\lceil \frac{\sum t_i}{\text{takt}} \right\rceil, \qquad \eta_\text{balance} = \frac{\sum t_i}{N \cdot t_\text{max}} \]

Takt time is the pace of demand. It is set by the customer, not by the equipment. Cycle time is how long a station actually takes. Every station must run at or below takt, or the line cannot meet demand without overtime. The slowest station, \(t_\text{max}\), sets the line's real output. Balance efficiency measures how evenly the work is spread across stations, and its complement, the balance delay, is idle time built into the line.

Worked examples

OEE. A 450-minute planned shift loses 45 minutes to unplanned stops, leaving 405 minutes of run time (A = 90.0 %). At an ideal 30 s per part, 740 parts should take 370 minutes, so P = 370/405 = 91.4 %. 715 of those parts are good (Q = 96.6 %). OEE = 0.900 × 0.914 × 0.966 = 79.4 %, the same as 715 good parts out of a theoretical 900. The loss bar shows that the 45 minutes of downtime is the largest loss, ahead of 35 minutes of speed loss and 12.5 minutes making parts that were later rejected.

Takt. Demand of 840 units in 450 available minutes gives a takt of 32.1 s. Six stations with 173.5 s of total work need at least ⌈173.5/32.1⌉ = 6 stations, so the station count is right. But station 4, at 33.5 s, is 1.4 s over takt and limits the line to about 806 units per shift. Moving about 1.5 s of work from station 4 to station 3 (24.0 s) brings every station under takt without adding labor.

Assumptions and limits

References

  1. S. Nakajima, Introduction to TPM: Total Productive Maintenance, Productivity Press (1988).
  2. M. Rother and J. Shook, Learning to See: Value Stream Mapping to Add Value and Eliminate Muda, Lean Enterprise Institute (1999).