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Economic-Statistical Design of Double Sampling T2 Control Chart under Weibull Failure Model
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 Title & Authors
Economic-Statistical Design of Double Sampling T2 Control Chart under Weibull Failure Model
Hong, Seong-Ok; Lee, Min-Koo; Lee, Jooho;
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Purpose: Double sampling chart is a useful tool for detecting a relatively small shift in process mean when the process is controlled by multiple variables. This paper finds the optimal design of the double sampling chart in both economical and statistical sense under Weibull failure model. Methods: The expected cost function is mathematically derived using recursive equation approach. The optimal designs are found using a genetic algorithm for numerical examples and compared to those of single sampling chart. Sensitivity analysis is performed to see the parameter effects. Results: The proposed design outperforms the optimal design of the single sampling chart in terms of the expected cost per unit time and Type-I error rate for all the numerical examples considered. Conclusion: Double sampling chart can be designed to satisfy both economic and statistical requirements under Weibull failure model and the resulting design is better than the single sampling counterpart.
Control Chart;Double Sampling;Weibull Failure Model;Economic-Statistical Design;
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