Group Acceptance Sampling Plan for Sujatha Distribution
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Abstract
The objective of this research is to present the development of a group acceptance sampling plan based on time-truncated life tests. The lifetime of goods or products is defined using the Sujatha distribution. The optimal values of the number of groups (g), the group size (r), the acceptance number (c) for each group, and the Operating Characteristic (OC) value are presented under the fixed values of consumer risk β = 0.10, 0.05, and 0.01, producer's risk α = 0.05, the ratio between the average actual lifetime of the product and the average specified lifetime (μ / μ0) = 4, 6, and 8, and the ratio between the termination time of the lifetime and the average specified lifetime (t0 / μ0) = 0.5, 0.8, and 1.0 . The optimal g, r, c, and OC values are also presented for parameter values = 0.3, 1, and 2, with the parameter value estimated from real data. The results show that the developed group acceptance sampling plan provides relatively low g, r and c values while giving relatively high OC values.
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