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AQL vs LTPD

Short answer

AQL (acceptable quality limit) is the defect rate that a sampling plan accepts with high probability, typically about 95 %, so the risk of rejecting a good lot (producer’s risk) is low. LTPD (lot tolerance percent defective, also called RQL) is the defect rate that the plan accepts only rarely, typically 10 %, so the risk of accepting a bad lot (consumer’s risk) is low. Both are points on the same operating characteristic (OC) curve of the plan.

Side by side

AspectAQLLTPD / RQL
MeaningQuality level considered acceptableQuality level considered unacceptable
Probability of acceptanceHigh, about 90 to 99 %Low, typically 10 %
Risk it controlsProducer’s risk α (good lots rejected)Consumer’s risk β (bad lots accepted)
Who cares mostSupplierCustomer
StandardsISO 2859-1, ANSI/ASQ Z1.4 (lot series)ISO 2859-2 (isolated lots), Dodge-Romig tables

Why AQL alone can mislead

Two plans with the same AQL can give very different protection against bad lots. A small sample with acceptance number 1 may accept a lot with 10 % defects quite often. Always look at the OC curve or the LTPD of the plan before agreeing on it, especially for isolated lots where the switching rules do not help.

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