Multiattribute acceptance sampling plans - Library(ISI Kolkata ...

...(1.2.4)
Note that, for single attribute Hald (1981) has used the notation p 0.1 for the process
average at which we get a probability of acceptance of 0.10.We further define
TotalAQL as AQL 1 + AQL 2 + AQL 3 .
...(1.2.5)
We use the value p (3) 0.1/TotalAQL as a measure comparable to the ratio p 0.1 /p 1 for the
single attribute.
We further compute the absolute value of the slope of the OC w.r.t. j th attribute
j = 1, 2, 3 for different values of p as
Slope j = g(x j , np j )
3∏
i=1:i≠j
G(c i , np i ), p i /(p 1 + p 2 + p 3 ) = AQL i /(AQL 1 + AQL 2 + AQL 3 ).
...(1.2.6)
We examine whether the desirable property of Slope 1 ≥ Slope 2 ≥ Slope 3 holds uniformly
in the range TotalAQL ≤ p ≤ p (3) 0.1. It has been seen that
i) the producer’s risk varies from 3.6% to 34.2%
ii) there are 103 plans with producer’s risk more than 16 %.
iii) There are only 34 plans with producer’s risk less than or equal to 6%
iv ) There is no plan for which producer’s risk is less than or equal to 2%.
We now compute the slopes in the range 0 ≤ p ≤ p (3) 0.1, keeping p 1 : p 2 : p 3 = AQL 1 :
AQL 2 : AQL 3 as fixed and examine whether Slope 1 ≥ Slope 2 ≥ Slope 3 for all these p for
all the plans. These results are summarised and given below in Table 1.2.4.
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