A Program for Selecting Efficient Binomial Double Sampling Plans

Abstract

A program is presented that finds the binomial double sampling plan satisfying:

P(p₁) ≥ 1 – α

P(p₂) ≤ β

while minimizing w₀ASN(p₀) + w₁ASN(p₁) + w₂ASN(p₂). Here P(p) is the probability of accepting a lot with fraction nonconforming p, and ASN(p) is the average number sampled per lot for a series of lots with fraction nonconforming p. Values of p₀, p₁, p₂, α, β, w₀, and w₁ are specified by the user (w₂ = 1 – w₀ – w₁). This program provides an exact solution for the binomial distribution that does not require any restrictions on the five parameters describing a double sampling plan. Using this program, it is possible to obtain double sampling plans that are more efficient than those currently in use. An example is given showing that double sampling plans may be selected that are as efficient as the multiple sampling plans in Mil-Std-105D.

• Acceptance Sampling
• Attribute Sampling
• Double Sampling
• Minimum Sample Size
• Binomial Distribution

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Additional information

Notes on contributors

Wayne A. Taylor

Dr. Taylor is a Senior Research Statistician in Corporate Reliability and Quality Engineering.