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.

Identyfikatory

DOI

10.1515/mper-2016-0036

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

economic design; surrogate variable; variable sampling interval; TRISO Fuel; genetic algorithms

• Wydawca: Production Engineering Committee of the Polish Academy of Sciences ; Polish Association for Production Management
• Czasopismo: Management and Production Engineering Review
• Rocznik: 2016
• Tom: Vol. 7, No. 4
• Strony: 54--64
• Opis fizyczny: Bibliogr. 16 poz., rys., tab., wykr.

Twórcy

autor

Lee T.-H.

• Korea Atomic Energy Research Institute, VHTR Technology Development Division, Korea

autor

Hong S.-H.

• Chonbuk National University, Department of Industrial & Information Systems Engineering, Korea

autor

Kwon H.-M.

• Pukyong National University, Department of Systems and Management Engineering, Korea

autor

Lee M.

• Chungnam National University Department of Information and Statistics Daehak-ro 99, Yuseong-gu, Daejeon, 34134, Korea phone: [phone]

Bibliografia

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