Abstract
In this paper, a control chart is built based on the economic design of a quality characteristic which has an exponential distribution. To make the economic results realistic, Taguchi’s loss function is combined with the economic model. Due to the fact that the exponential distribution is not symmetric, it is not possible to use Shewhart control chart (\(6\sigma\)). According to the most important features of this control chart, which is user-friendly and popular in industries, the exponential distribution of the quality characteristic is transformed into a normal distribution, by using [1]. Although the design parameters are sample size \((n)\), sampling interval \((h)\) and control limit \((K)\), in the case where the samples are individual \((n=1)\), the design parameters will be \(h\) and \(K\). The optimal design parameters (\(h\) and \(K\)) will be obtained to minimize the cost of the process. The results are compared with the economic design of this control chart without applying any loss function.
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Tavakoli, M. Economic Design for Exponential Control Chart: Applying Taguchi’s Loss Function and Employing Genetic Algorithm. Lobachevskii J Math 43, 2611–2620 (2022). https://doi.org/10.1134/S1995080222120241
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DOI: https://doi.org/10.1134/S1995080222120241