Double-objective economic statistical design of the u-chart: NSGA II approach

Article Type

Research Article

Publication Title

Journal of Statistical Computation and Simulation

Abstract

In the parlance of quality control, a u-chart is used to exercise control over the number of nonconformities or defects per inspection unit when the number of inspection units can vary from sample to sample or subgroup to subgroup. The number of inspection units (n), sampling interval (h), and control limits' multiplier (k) are the three important parameters required to effectively design a u-chart. Keeping in view the pertinent economic and statistical aspects, a double-objective economic statistical design of a u-chart has been proposed in this paper. The Non-dominated Sorting Genetic Algorithm II (NSGA II) has been used for determining the optimal parameters of the proposed double-objective model. A numerical example lucidly demonstrates the proposed methodology. Sensitivity analysis has also been carried out to assess how much variation in the input values impacts the results for the pertinent economic statistical model. It appropriately justifies the proposed methodology.

First Page

1091

Last Page

1109

DOI

10.1080/00949655.2024.2446382

Publication Date

1-1-2025

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