Optimal Design of Rectifying Double Sampling Plan with Inspection Errors
DOI:
:
https://doi.org/10.5281/zenodo.6513568
Keywords:
Average Outgoing Quality (AOQ),, Average Total Inspection (ATI),, producer’s risk, Consumer’s risk.Abstract
In this paper, the effect of type I and type II inspection errors on the performance measures of rectifying the double sampling (RDS) plan is investigated. An economic model to determine the optimal sampling plan developed by Hsu and Hsu (2012) is extended to rectify the double sampling (RDS) plan and modified to incorporate inspection error. An optimal sampling plan that minimize the total cost and satisfied both the producer’s and the consumer’s risk requirement in both the existing model and the modified model is determined. Comparison between the optimal sampling plans of the RDS plan in the existing model and the modified model showed that the optimal RDS plan in the modified model exhibited a higher probability of acceptance of 0.9030, smaller sample sizes of n1=10, n2=20, Average Total Inspection of 113.69 and Total cost of 448.45. Whereas the existing model showed a lower probability of acceptance of 0.8891, bigger sample sizes of n1=96, n=192. Average Total Inspection of 237.32 and Total cost of 534.43. It is therefore found that the modified model performed better and is more economical in terms of cost than the existing model.
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