An Economic Attributes Acceptance Sampling Plan with Three Decision Criteria

Abstract

An economic acceptance sampling plan by attributes is developed for situations where sampling inspection is expensive and/or destructive. It is assumed that the sampling inspection is error free, but that screening inspection of rejected lots is subject to error. Three decision criteria are considered: acceptance, screening, or scrapping. A linear cost model is given and methods for finding optimal sampling plans are presented for both a beta binomial prior and a double binomial prior. Comparisons are made with plans using only two decisions.

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