How do you calculate false accept cost?

Multiply monthly inspection volume by the escape rate to get escaped defects, multiply that by the average cost per escaped defect, then add fixed investigation and response cost. With 50,000 parts, a 0.4% escape rate, $38 per defect, and $1,200 fixed cost, that is 200 escapes x $38 = $7,600 variable, plus $1,200 fixed = $8,800 per month.

What is a false accept in machine vision?

A false accept (also called an escape or beta error) is a defective part the vision system passes as good. It is the costly inverse of a false reject, where a good part is wrongly scrapped — and false accepts are usually far more expensive because the defect is discovered downstream.

What is the cost per inspected part in this example?

At $8,800 total monthly cost across 50,000 inspected parts, false accept cost works out to $0.176 per inspected part. That per-piece figure is useful for comparing it directly against the cost of a higher-resolution camera or a second inspection station.

How do I lower false accept cost?

You can lower it three ways: reduce the escape rate (better optics, lighting, or model retraining), reduce the cost per escape (catch defects closer to the source), or reduce fixed response cost. Cutting the 0.4% escape rate in half would drop the variable cost from $7,600 to $3,800.

False accept vs false reject cost — which matters more?

False rejects waste good parts and inflate scrap, but false accepts ship defects to customers, so a single escape often costs many times a single false reject. Most quality programs weight false accept cost more heavily and set thresholds conservatively because of it.

What is a good defect escape rate?

It depends on industry and end-use, but high-volume automotive and electronics lines target escape rates well below 0.1% (under 1,000 DPM), and safety-critical parts push toward zero. At 0.4%, the example line is escaping 4,000 parts per million — typically too high for tier-one supply.

Machine Vision & Industrial Inspection AI calculator

False Accept Cost Calculator

False accept cost quantifies what your inspection line really pays when defective parts slip past the vision system and reach the next operation, the customer, or the field. Quality engineers and vision-system owners use it to put a dollar figure on escapes — the warranty claims, sorts, recalls, and customer-disputed returns that a missed defect triggers downstream. Unlike raw escape-rate percentages, this metric translates inspection performance into a number finance and operations both understand. It is the single most persuasive input when justifying a camera upgrade, a tighter accept threshold, or added inspection redundancy.

What this calculator does

Estimate the monthly cost of defects that escape inspection and reach the customer when a machine vision or automated inspection system incorrectly passes defective parts.
Use it when evaluating the risk of a detection threshold that is too permissive and you need to put a dollar value on defects reaching customers each month.
It computes total monthly false accept cost by combining the variable cost of escaped defects with your fixed investigation and response overhead.

Formula used

Monthly defect escapes = monthly inspection volume x escape rate / 100
Variable escape cost = monthly defect escapes x cost per escaped defect
Total monthly false accept cost = variable escape cost + fixed investigation and response cost

Inputs explained

Monthly inspection volume:
Average cost per escaped defect:
Defect escape rate (defective parts passing inspection):
Fixed monthly investigation and response cost:

How to use the result

Use it during vision-system business cases, threshold tuning reviews, or after a customer escape to size the financial exposure of your current escape rate.
It assumes a single average cost per escape; catastrophic field failures or recalls can cost orders of magnitude more than the average and should be modeled separately.

Common questions

How do you calculate false accept cost? Multiply monthly inspection volume by the escape rate to get escaped defects, multiply that by the average cost per escaped defect, then add fixed investigation and response cost. With 50,000 parts, a 0.4% escape rate, $38 per defect, and $1,200 fixed cost, that is 200 escapes x $38 = $7,600 variable, plus $1,200 fixed = $8,800 per month.
What is a false accept in machine vision? A false accept (also called an escape or beta error) is a defective part the vision system passes as good. It is the costly inverse of a false reject, where a good part is wrongly scrapped — and false accepts are usually far more expensive because the defect is discovered downstream.
What is the cost per inspected part in this example? At $8,800 total monthly cost across 50,000 inspected parts, false accept cost works out to $0.176 per inspected part. That per-piece figure is useful for comparing it directly against the cost of a higher-resolution camera or a second inspection station.
How do I lower false accept cost? You can lower it three ways: reduce the escape rate (better optics, lighting, or model retraining), reduce the cost per escape (catch defects closer to the source), or reduce fixed response cost. Cutting the 0.4% escape rate in half would drop the variable cost from $7,600 to $3,800.
False accept vs false reject cost — which matters more? False rejects waste good parts and inflate scrap, but false accepts ship defects to customers, so a single escape often costs many times a single false reject. Most quality programs weight false accept cost more heavily and set thresholds conservatively because of it.

Last reviewed 2026-05-12.