2009Journal of Applied SciencesOpen access

New Process Capability Index using Taguchi Loss Functions

Mohammad Abdolshah, Rosnah Mohd Yusuff, Tang Sai Hong, Md Yusof Ismail

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Abstract

Classic process capability indices such as Ca, Cp and Cpk are well-known process capability indices, which are using widely. Since, process capability indices predict the capability of a process, they must have a significant relation with rate of rejects and losses. Studies showed that mostly process capability indices do not have a significant relation with rate of rejects or losses. Therefore, the loss-based indices are more appropriate and suitable indices to predict the capability of a process. In order to define a new loss-based process capability index, Taguchi loss functions were employed and this study proposed a novel process capability index called Taguchi-based Process Capability Index (TPCI). The methodology of this process capability index is based on standard rate of rejects for a capable process compared to other cases. Therefore, this study develops a new process capability index, which is Taguchi loss function-based and sensitive to losses. This new process capability index can provide a realistic and applicable metric to evaluate a process.

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Classic process capability indices such as Ca, Cp and Cpk are well-known process capability indices, which are using widely. Since, process capability indices predict the capability of a process, they must have a significant relation with rate of rejects and losses. Studies showed that mostly process capability indices do not have a significant relation with rate of rejects or losses. Therefore, the loss-based indices are more appropriate and suitable indices to predict the capability of a process. In order to define a new loss-based process capability index, Taguchi loss functions were employed and this study proposed a novel process capability index called Taguchi-based Process Capability Index (TPCI). The methodology of this process capability index is based on standard rate of rejects for a capable process compared to other cases. Therefore, this study develops a new process capability index, which is Taguchi loss function-based and sensitive to losses. This new process capability index can provide a realistic and applicable metric to evaluate a process.

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Available abstract

Classic process capability indices such as Ca, Cp and Cpk are well-known process capability indices, which are using widely. Since, process capability indices predict the capability of a process, they must have a significant relation with rate of rejects and losses. Studies showed that mostly process capability indices do not have a significant relation with rate of rejects or losses. Therefore, the loss-based indices are more appropriate and suitable indices to predict the capability of a process. In order to define a new loss-based process capability index, Taguchi loss functions were employed and this study proposed a novel process capability index called Taguchi-based Process Capability Index (TPCI). The methodology of this process capability index is based on standard rate of rejects for a capable process compared to other cases. Therefore, this study develops a new process capability index, which is Taguchi loss function-based and sensitive to losses. This new process capability index can provide a realistic and applicable metric to evaluate a process.

Key concepts: Process capability index, Process capability, Taguchi methods, Process (computing), Reliability engineering, Metric (unit), Relation (database), Index (typography)

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