A Program for Selecting Efficient Binomial Double Sampling Plans
作者:
TaylorWayne A.,
期刊:
Journal of Quality Technology
(Taylor Available online 1986)
卷期:
Volume 18,
issue 1
页码: 67-73
ISSN:0022-4065
年代: 1986
DOI:10.1080/00224065.1986.11978987
出版商: Taylor&Francis
关键词: Acceptance Sampling;Attribute Sampling;Double Sampling;Minimum Sample Size;Binomial Distribution
数据来源: Taylor
摘要:
A program is presented that finds the binomial double sampling plan satisfying:P(p1)≥1–αP(p2)≤βwhile minimizingw0ASN(p0) +w1ASN(p1) +w2ASN(p2). HereP(p) is the probability of accepting a lot with fraction nonconformingp, and ASN(p) is the average number sampled per lot for a series of lots with fraction nonconformingp.Values ofp0,p1,p2,α,β, w0, andw1are 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.
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