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How long it runs.How fast it is back.

From operating time, failures and repair time: MTBF, MTTR, failure rate, availability, and the chance of a run without a failure.

How it is worked out
Failures and repairs

One machine, or a group of the same machines, over a period.

A run without a failure

A shift, a batch or an order that should run to the end.

How reliability is worked out.

Operating time, failures and repair time give the averages; with a constant failure rate, they also give the chance of a run without a failure.

MTBF

Operating time ÷ failures.

ISO 22400-2 lists the mean operating time between failures among its maintenance indicators.

MTTR

Repair time ÷ failures.

Failure rate

Failures ÷ operating time: the inverse of MTBF, shown here per 1.000 hours.

Inherent availability

MTBF ÷ (MTBF + MTTR).

It counts failures and repairs only, not waiting for parts or planned stops.

Reliability

e^(−length of the run ÷ MTBF): the chance of no failure during the run.

With a constant failure rate, the time between failures follows the exponential distribution (IEC 61703). When wear-out raises the failure rate with age, this figure is optimistic.

The formulas assume failures come at a constant rate. Recorded failure by failure, the maintenance history shows whether they do.

Sources

  • ISO 22400-2:2014, Automation systems and integration: key performance indicators for manufacturing operations management, Part 2: definitions and descriptions. International Organization for Standardization. iso.org
  • IEC 61703:2016, Mathematical expressions for reliability, availability, maintainability and maintenance support terms. International Electrotechnical Commission. webstore.iec.ch

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