The development of a single sampling plan indexed with
Maximum Allowable Proportion Defective (MAPD) and Probability of Allowable Risk
(PAR) represents a novel approach to acceptance sampling plans. Previous
sampling plans typically relied on two points on the Operating Characteristic
(OC) curve or one point on the OC curve along with an outgoing quality or
constraint. In this new plan, emphasis is placed on a single point,
specifically the point of inflection of the OC curve. The MAPD corresponds to
the p-axis of this point, while PAR is represented on the Pa(p) axis, ensuring that
all lots inspected with a specified incoming quality MAPD will be accepted if
Pa(p) ≥ PAR. The primary aim of this research is to establish a sampling plan
based on a single point on the OC curve. A significant quality MAPD, paired
with the corresponding probability Pa(p*), leads to a decreasing operating
ratio that defines a unique sampling plan. Furthermore, the complement
probability to PAR (PRR) and the ratio PAR/PRR are introduced to identify
sampling plans and the discriminant angle θ. The most discriminating operating
ratio among all is given by PAR/PRR. A switching rule for sampling plans within
a feasible interval of sample size, which can be inspected by manufacturers
without affecting the Acceptable Quality Level (AQL), has been devised. OC
curves illustrating PAR, PRR, the angle of discrimination, and the optimum
sampling plan have been constructed. Additionally, tables with examples have
been provided to aid in understanding. A conversion table for identifying other
quality indices has also been included.
Author(s)details:-
Ramkumar T. Balan
Department of Mathematics and Statistics, College of Natural Science and
Mathematical Sciences, University of Dodoma, Dodoma, Tanzania.
Please See the book
here :- https://doi.org/10.9734/bpi/rumcs/v6/7483E
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