Menu

The Bathtub Curve in Reliability Engineering

The bathtub curve models three equipment failure-rate phases: infant mortality, useful life, and wear-out. Learn each region, burn-in, and how it guides maintenance.

The bathtub curve is a reliability engineering model that plots an asset's failure rate over its entire lifetime, and it shows three distinct phases: a high but falling failure rate early on (infant mortality), a low and roughly constant rate during the useful life, and a rising rate at the end (wear-out). Plotted together, these phases trace a shape like the cross-section of a bathtub, with steep sides and a long flat bottom. The curve is a foundational way to reason about when and why machines fail, and it directly shapes how a plant should schedule inspections, replacements, and maintenance strategy.

The three phases of the bathtub curve

The bathtub curve combines three separate failure behaviors into one lifetime picture:

  • Infant mortality (decreasing failure rate): Early-life failures caused by manufacturing defects, installation mistakes, poor commissioning, or handling damage. The failure rate starts high and falls as weak units are weeded out.
  • Useful life (constant, random failure rate): The long, flat middle where failures happen at a roughly steady rate, driven by random external events rather than age (a voltage spike, a foreign object, an operator error).
  • Wear-out (increasing failure rate): Late-life failures from accumulated fatigue, corrosion, abrasion, and material degradation. The failure rate climbs as components reach the end of their design life.

Not every component follows all three phases cleanly. Electronics often show strong infant mortality and a very long flat region, while mechanical parts like bearings and seals show a pronounced wear-out region.

Infant mortality and the role of burn-in

The early steep section reflects units that were flawed from the start. Common causes include a defective weld, a mis-torqued fastener, contaminated lubricant, a wiring error, or damage during transport and installation. Because these defects surface quickly under load, manufacturers use burn-in: running equipment under controlled stress before shipment or before full production so latent defects fail in the factory rather than on the plant floor.

On the maintenance side, this phase is why commissioning checks, alignment verification, and early inspections matter so much on new or rebuilt assets. Tracking early failures with a structured method such as FMEA helps you separate one-off defects from systematic problems that will keep recurring.

Useful life and why the constant rate matters

The flat bottom is where a well-run asset spends most of its life. Here failures are random and largely independent of age, so replacing a part simply because it has been in service for a fixed number of hours does not reduce risk. This is the single most important insight the bathtub curve gives maintenance planners.

During this region the failure rate connects directly to reliability metrics. A constant failure rate produces a stable MTBF and MTTR profile, which makes downtime predictable enough to plan around. For non-repairable components, the analogous measure is MTTF. Understanding the mix of causes behind stoppages here overlaps heavily with diagnosing unplanned downtime.

Why the middle region favors condition-based over time-based maintenance

Because failures in the useful-life region are random rather than age-driven, calendar-based or hours-based replacement wastes healthy component life and can even introduce fresh infant-mortality risk every time you open a machine. The better fit is condition-based maintenance, where you act on the actual measured state of the asset (vibration, temperature, current draw, output quality) instead of a fixed schedule.

This is the core logic behind modern proactive maintenance and the discipline of total productive maintenance: intervene when the evidence says the asset is drifting, not when the calendar says so. Predictive maintenance, an industry concept that forecasts failures from trended data, extends this idea further, though it depends entirely on having clean, continuous machine data to work from.

A worked failure-rate example

Failure rate is usually written as the Greek letter lambda and expressed in failures per unit time. Suppose a fleet of 200 identical pumps runs for 5,000 hours during their useful-life phase, and 8 pumps fail in that window.

  1. Total operating time: 200 pumps multiplied by 5,000 hours equals 1,000,000 pump-hours.
  2. Failure rate: 8 failures divided by 1,000,000 pump-hours equals 0.000008 failures per hour (8 failures per million hours).
  3. MTBF during useful life: the reciprocal of the failure rate, so 1 divided by 0.000008 equals 125,000 hours between failures per pump.

Now compare the three phases. If the same fleet showed 20 failures in the first 500 hours (infant mortality) but only 8 failures across the later 5,000-hour window, the early failure rate is roughly 20 divided by 100,000 pump-hours, or 0.0002 per hour, which is 25 times higher than the useful-life rate. Later, if wear-out drove 30 failures in a final 2,000-hour window, that rate climbs to 30 divided by 400,000 pump-hours, or 0.000075 per hour, nearly 10 times the flat-region rate. Those three numbers (high, low, rising) are the bathtub curve expressed as arithmetic.

Using the curve to plan across the asset lifecycle

The curve implies a different tactic for each phase:

  • Infant mortality: tighten commissioning, run burn-in where possible, and inspect new assets closely.
  • Useful life: monitor condition continuously and avoid unnecessary intrusive replacements.
  • Wear-out: schedule planned replacement or overhaul before the rising rate turns into unplanned failures.

To act on any of this you need reliable failure data, and that is where a CMMS and real-time monitoring come in. Fabrico is not a predictive-maintenance oracle or a digital-twin simulator; it is the data foundation that makes the bathtub curve usable. Its CMMS product logs work orders, assets, and spare parts so you can compute real failure rates per machine, while its OEE product and camera-based monitoring capture stoppage and quality data even on machines with no PLC. Pairing that with OEE tracking and Pareto analysis tells you which phase each asset is actually in.

Frequently Asked Questions

Does every machine follow the bathtub curve?

No. The bathtub curve is a general model, not a universal law. Many electronic components show a long flat region with almost no wear-out, while some mechanical assets show wear-out almost immediately with little useful-life plateau. Reliability studies have shown that only a minority of failure modes are genuinely age-related, which is exactly why condition monitoring often beats fixed-interval replacement.

How is the bathtub curve related to MTBF?

MTBF describes average time between failures during the flat, constant-rate useful-life region, where it equals the reciprocal of the failure rate. It is most meaningful in that middle phase. During infant mortality and wear-out the failure rate is changing, so a single MTBF figure can be misleading and must be read alongside which phase the asset is in.

What is burn-in and does it help every asset?

Burn-in is running equipment under controlled stress before deployment so early-life defects fail during testing rather than in production, effectively climbing down the steep infant-mortality slope in the factory. It helps most where infant mortality is significant, such as electronics and complex assemblies, and adds little value for components whose failures are dominated by random or wear-out mechanisms.

Turn the bathtub curve from theory into per-machine numbers: capture real failure, downtime, and quality data across every asset with Fabrico's real-time OEE and CMMS platform, including camera monitoring for machines without a PLC. Book a Fabrico demo to see your own reliability curve take shape.

Последно от блога

Autonomous Maintenance (Jishu Hozen): A TPM Pillar
Прочетете сега
Net Equipment Effectiveness (NEE) vs OEE and TEEP
Прочетете сега
The Kano Model: Prioritizing Quality and Features
Прочетете сега
8D Problem Solving: The 8 Disciplines Explained
Прочетете сега
Little's Law in Manufacturing: WIP, Throughput, Lead Time
Прочетете сега
Spaghetti Diagram: Mapping Motion and Transport Waste
Прочетете сега
Pull System in Manufacturing: A Practical Guide
Прочетете сега
Drum-Buffer-Rope (DBR) Scheduling Explained
Прочетете сега
Theory of Constraints (TOC): The Manufacturing Guide
Прочетете сега
Reorder Point (ROP): Formula and Spare-Parts Example
Прочетете сега
Run-to-Failure Maintenance: When It Makes Sense
Прочетете сега
Control Plan in Manufacturing: A Practical Guide
Прочетете сега
Начертайте вашата пътна карта за надеждност
Изчислете потенциалната възвръщаемост: запазете час за демонстрация
Начертайте вашата пътна карта за надеждност
Като натиснете бутона Приемам, вие давате съгласието си за използването на `бисквитки`, докато ползвате до този уебсайт. За да научите повече за това как `бисквитките` се използват и управляват, моля, вижте нашата Политика за поверителност и Декларация за Бисквитките