نوع مقاله : مقاله پژوهشی
1 استادیار، گروه مهندسی صنایع، دانشگاه کوثر بجنورد، بجنورد، ایران
2 استادیار گروه مهندسی صنایع، دانشگاه کوثر بجنورد، بجنورد، ایران
عنوان مقاله [English]
Abstract: In some practical applications, the quality of a product or process is defined by a profile, which is a relationship between a response variable and one or more explanatory variables. Simple linear profiles (SLPs) are one of the various types of profiles in which the product or process quality is related to a simple linear function between a response and an explanatory variable. In this article, a functional capability index for a simple linear profile with asymmetric tolerance is introduced. The performance of the proposed index and existing ones ( and ) are studied using numerical examples and simulation studies in terms of mean absolute error (MAE), mean square error (MSE) and absolute percentage error (APE) metrics. The results show that the new index performs better than the two existing indices. Furthermore, confidence intervals for the proposed index are constructed using three bootstrap methods, and their performance is evaluated using simulation studies. A real-world case study is presented to demonstrate the application of the proposed index.