NDLI: Economical operation of the C pm control chart for monitoring process capability index

Content Provider	Springer Nature Link
Author	Morita, Maiko Arizo, Ikuo Nakase, Ippei Takemoto, Yasuhiko
Copyright Year	2008
Abstract	Process capability indices are widely used to provide the evaluation measure of a process. Especially, the process capability index C pm , which is defined by the range of the process standard specification limits and the deviation from a target value, is called the Taguchi index. Boyles has investigated the statistical characteristics of the estimator $\hat{C}_{pm}$ , and also proposed a technique for the C pm control chart. Since the process capability index C pm is based on the concept of the Taguchi’s quality loss, the process capability index C pm already includes an economical concept. In this article, we evaluate an operating cost consisting of the sampling cost, the sample cost, and the quality loss of failing to detect an out-of-control state when the C pm control chart is used. Then, we derive an optimal operating plan by sample size and sampling interval in order to minimize the ceiling value of the operating cost based on the min–max criterion.
Starting Page	304
Ending Page	311
Page Count	8
File Format	PDF
ISSN	02683768
Journal	The International Journal of Advanced Manufacturing Technology
Volume Number	43
Issue Number	3-4
e-ISSN	14333015
Language	English
Publisher	Springer-Verlag
Publisher Date	2008-09-16
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	C pm control chart Min–max criterion Maximum likelihood method Patnaik’s approximation Process capability index C pm Taguchi’s loss function Computer-Aided Engineering (CAD, CAE) and Design Mechanical Engineering Production/Logistics Industrial and Production Engineering
Content Type	Text
Resource Type	Article
Subject	Industrial and Manufacturing Engineering Control and Systems Engineering Mechanical Engineering Computer Science Applications Software

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