- Tytuł:
- Economic statistical design of variable sampling interval X̅ control chart based on surrogate variable using genetic algorithms
- Autorzy:
-
Lee, T.-H.
Hong, S.-H.
Kwon, H.-M.
Lee, M. - Powiązania:
- https://bibliotekanauki.pl/articles/406970.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
economic design
surrogate variable
variable sampling interval
TRISO Fuel
genetic algorithms - Opis:
- In many cases, a X̅ control chart based on a performance variable is used in industrial fields. Typically, the control chart monitors the measurements of a performance variable itself. However, if the performance variable is too costly or impossible to measure, and a less expensive surrogate variable is available, the process may be more efficiently controlled using surrogate variables. In this paper, we present a model for the economic statistical design of a VSI (Variable Sampling Interval) X̅ control chart using a surrogate variable that is linearly correlated with the performance variable. We derive the total average profit model from an economic viewpoint and apply the model to a Very High Temperature Reactor (VHTR) nuclear fuel measurement system and derive the optimal result using genetic algorithms. Compared with the control chart based on a performance variable, the proposed model gives a larger expected net income per unit of time in the long-run if the correlation between the performance variable and the surrogate variable is relatively high. The proposed model was confined to the sample mean control chart under the assumption that a single assignable cause occurs according to the Poisson process. However, the model may also be extended to other types of control charts using a single or multiple assignable cause assumptions such as VSS (Variable Sample Size) X̅ control chart, EWMA, CUSUM charts and so on.
- Źródło:
-
Management and Production Engineering Review; 2016, 7, 4; 54-64
2080-8208
2082-1344 - Pojawia się w:
- Management and Production Engineering Review
- Dostawca treści:
- Biblioteka Nauki