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University/Reliability & RAM

CHBC UNIVERSITY / FIELD GUIDE

How to calculate reliability

Use an exponential model and understand the assumptions behind the answer.

Industrial process towers and pipework beneath a blue sky
Illustrative stock photography · Jakub Pabis / Unsplash

UNDERSTAND THE CONCEPT

Reliability is the probability of performing the required function for a stated time under stated conditions. In the exponential model, R(t) = exp(−λt), where λ is a constant failure rate and t is mission duration. With a compatible mean-time estimate M, λ = 1/M.

For a repairable asset, using an MTBF estimate in this model assumes stable, comparable behaviour and a constant rate. The mission calculation asks about no failure during the mission; it does not credit repairs within that mission. Ageing, common causes and changing duty can invalidate this simple model.

TRY THE MODEL

Reliability, over time.

Change the inputs to explore a constant-failure-rate scenario. All times are in hours.

Mission reliability93.05%R(t) = exp(−t / MTBF)
Inherent availability99.92%MTBF / (MTBF + MTTR)

Learning model only. The mission calculation assumes a constant failure rate and no repair credit during the mission. Inherent availability is a separate steady-state measure; it excludes planned downtime and logistics or administrative delays. This calculator does not validate a plant design.

Questions to take back to your team

  1. Are the failure definition and operating duty consistent?
  2. Is the constant-rate assumption defensible?
  3. Is the mission duration clearly stated?

Further reading

Explore the primary references below. Requirements and applicability depend on your organization and jurisdiction.