Reliability & Life Testing Handbook, Volume 2

Chapter 9: Accept-Reject Tests for the Binomial Case

9.1 WHEN AND HOW TO APPLY

In accept-reject testing two types of risks are considered:

  1. Consumer's risk - This is the probability that the customer (the buyer) accepts equipment with a reliability lower than the minimum acceptable, or R L 1, and is designated by ?. Hence

    ? = probability that equipment with a reliability of R ? R L 1 passes the acceptance test,

    or

    P( AcceptR ? R L 1) ? ?,

    where ? is usually chosen to be 1%, 5% or 10%. By imposing such a limitation on ? the customer is protected against accepting equipment with lower than acceptable reliability, in the long run.

  2. Producer's risk - This is the probability that the manufacturer produces good equipment with reliability as high as, or better than R U 1, the reliability goal to design to, and yet the acceptance test rejects the equipment, and is designated by ?. Hence

    ? = probability that equipment with a designed-in reliability of R ? R U 1 fails the acceptance test,

    or

    P( RejectR ? R U 1) ? ?,

    where ? is usually chosen to be 1%, 5% or 10%. ? and ? may be chosen to be equal or different.

The acceptance test consists of running N units for the specified time (mission duration) and accepting the equipment if a or fewer units out of

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