Reliability Fit Rate Calculation

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FIT Rate & Reliability Calculator

Calculate Failures in Time (FIT) and MTBF for electronic components.

Total Device Hours: hours
FIT Rate (Failures per 10⁹ Hours):
MTBF (Mean Time Between Failures): hours
MTBF in Years: years

Understanding FIT Rate and Reliability

In the world of reliability engineering, specifically regarding semiconductor and electronic components, FIT (Failures In Time) is a standard unit used to express the expected failure rate of a component or system.

What is FIT?

One FIT is defined as one failure per billion ($10^9$) device-hours of operation. It is a statistical measure that helps engineers predict how many components in a large population are likely to fail over a specific timeframe.

The Calculation Formula

The basic formula for calculating the FIT rate based on observed test data is:

FIT = (Number of Failures / Total Device Hours) × 10^9

Where Total Device Hours = Number of Units × Operating Hours per Unit.

FIT vs. MTBF

While FIT describes the frequency of failures, MTBF (Mean Time Between Failures) describes the average time elapsed between failures. They are inversely related:

  • MTBF (Hours) = 1,000,000,000 / FIT
  • FIT = 1,000,000,000 / MTBF (Hours)

Practical Example:

Suppose you are testing a batch of 500 microcontrollers for 2,000 hours. During this test, 1 unit fails.

  • Total Device Hours = 500 units × 2,000 hours = 1,000,000 hours.
  • FIT Rate = (1 / 1,000,000) × 1,000,000,000 = 1,000 FIT.
  • MTBF = 1,000,000,000 / 1,000 = 1,000,000 hours.

Why FIT Matters in Engineering

FIT rates are critical for calculating the overall reliability of complex systems. For instance, if a circuit board contains 100 components, each with a FIT of 10, the total FIT for the board is 1,000 (assuming a series reliability model), meaning you can expect one board failure every million hours.

function calculateFITRate() { var failures = parseFloat(document.getElementById("numFailures").value); var units = parseFloat(document.getElementById("sampleSize").value); var hours = parseFloat(document.getElementById("testHours").value); var resultsDiv = document.getElementById("fitResults"); if (isNaN(failures) || isNaN(units) || isNaN(hours) || units <= 0 || hours 0) { mtbfH = 1000000000 / fitRate; mtbfY = mtbfH / 8760; // 365 days * 24 hours } else { mtbfH = Infinity; mtbfY = Infinity; } // Display Results document.getElementById("totalDeviceHours").innerHTML = totalDeviceHours.toLocaleString(); if (failures === 0) { document.getElementById("fitRateResult").innerHTML = "0 (Based on 0 observed failures)"; document.getElementById("mtbfHours").innerHTML = "Infinite (Theoretical)"; document.getElementById("mtbfYears").innerHTML = "Infinite"; } else { document.getElementById("fitRateResult").innerHTML = fitRate.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("mtbfHours").innerHTML = mtbfH.toLocaleString(undefined, {minimumFractionDigits: 0, maximumFractionDigits: 0}); document.getElementById("mtbfYears").innerHTML = mtbfY.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); } resultsDiv.style.display = "block"; }

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