Acceptance control plan for the acceptance or rejection of a batch

Inbound inspection: how can it be optimised?

An incoming inspection plan is used to decide on the acceptance of a batch on the basis of samples taken from the batch. Several types of sampling are taken into account when drawing up an inspection plan:
  • Control by attributes (single, double and progressive plans)
  • Control by measurement (method S, s, progressive).

The module IQC (Incoming Quality Control) from Ellistat, not only calculates standard control plans but also creates customised control plans that are often much more suitable than standard plans.The IQC module can also be used to carry out acceptance tests using any method. Even the highly innovative progressive measurement acceptance test method. It should be noted that this method, with its constant efficiency, enables sample sizes to be reduced considerably.

Control plan for receiving attributes

For this type of incoming inspection, each part is measured according to an OK/KO scale. The batch is accepted if the number of KOs measured is below a limit.
Receipt control for attributes can be :
  • Simple: a certain number of parts are measured once. Acceptance of the batch is defined at the end of the measurement of all the parts.
  • Double: a first batch of parts is measured. The batch is accepted if the number of defects is less than "Acceptance 1". The batch is rejected if the number of defects is greater than "Reject 1". Otherwise, a second batch of parts is measured and the batch is accepted if the number of defects is less than "Acceptance 2". Rejected otherwise. This type of acceptance inspection limits the number of parts measured.
  • Progressive: acceptance or rejection of the batch is calculated for each measurement. This type of control is the most effective. > Find out more
Advantage of attribute-based control: easy to set up

Disadvantages of attribute reception control AQL of less than 1% cannot be achieved without significantly increasing the number of parts measured.

Control plan for receiving measurements

For this type of acceptance inspection, each part is measured on a quantitative scale. The batch is accepted if the average of the batch is further than k standard deviations from the closest tolerance (k or k factor being defined by the acceptance inspection). 
Controls received during measurements can be :
  • Simple: a certain number of parts are measured once and acceptance of the batch is defined at the end of the measurement of all the parts,
  • Progressive: acceptance or rejection of the batch is calculated for each measurement. This type of control is the most effective.
Advantage of measurement-receipt inspection: significantly reduces the number of parts measured compared to attribute inspection.
 
Disadvantage of measurement control: Each part has to be measured quantitatively.

Efficiency curve

When setting up a statistical reception control, it is important to be aware that it is not possible to stop 100% of incoming faults. 

The supplier and the customer must therefore agree on an acceptable level of quality, i.e. the average percentage of defects that the incoming inspection must allow to pass.

The purpose of the control efficiency curve is to predict control results as a function of the quality rate of the batch measured.
 
Let's take the following example:
We receive a batch of 1000 parts containing 50 defects. The incoming inspection is as follows. 80 parts in the batch are inspected. The batch is accepted if 1 defect or less is measured. If not, the batch is rejected. Using the laws of descriptive statistics, we can show that (open descriptive/discontinuous statistics) :
Hypergeometric law for calculating the efficiency curve of a received control
The probability of measuring 1 defect or less is 7.7%. As a result, this batch has a 7.7% chance of being accepted and a 92.7% chance of being rejected.
We can therefore predict that with an inspection of 80 parts and an acceptance level of 1 defect, a batch of 1000 parts containing 5% of defects has a 7.7% chance of being accepted.
The efficiency curve is therefore used to give the probability of acceptance for all possible batches. The x axis of the efficiency curve is the percentage of defect contained in the batch. The Y axis is the acceptance percentage.
The following figure shows the efficiency curve for an inspection of 80 parts and an acceptance level of 1 defect:
We can see that if there are 50 defects, the acceptance level is 7.7%.

P95 and P10

To characterise this curve, we generally use two characteristic points of the curve:
P95 The P95 corresponds to the defect rate of a batch resulting in an acceptance level of 95% with the control in place. In the previous example, the P95 is 4, i.e. a batch containing 4 defects has a 95% chance of being accepted.
P10 The P10 corresponds to the defect rate of a batch resulting in an acceptance level of 10% with the control in place. In the previous example, the P10 is 47, i.e. a batch containing 47 defects has a 10% chance of being accepted.

Here are the modules you can use to draw up incoming inspection plans:

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