NDLI: Economic process control for multivariate quality characteristics with Hotelling's $T^{2}$ charts under Gamma shock model

Content Provider	IEEE Xplore Digital Library
Author	FengChia Li PengKai Wang LiLon Yeh ShengWen Hong
Copyright Year	2011
Description	Author affiliation: Department of Information and Management Jen Teh junior college of management, Taiwan (FengChia Li) \|\| Department of Information and Management Hwa Hsia Institute of Technology, Taipei, Taiwan (PengKai Wang; LiLon Yeh; ShengWen Hong)
Abstract	This study is an extension of research conducted by Rahim and Banerjee (Journal of Naval Research Logistics 40 (1993), pp.787–809) to construct an economic design approach of control chart for simultaneously monitoring several quality characteristics under a Gamma shock model with an increasing failure rate. Furthermore, measure the advantage of the Hotelling's $T^{2}$ control chart with a variable sampling interval (VSI) versus a fixed-length sampling interval (FSI) and a standard Shewhart sampling interval (SSI) under Gamma (λ, 2) shock models based on an economic aspect. This primary contribution of this study is to find an optimal sampling interval to improve the traditional Hotelling's $T^{2}$ control chart under a non - exponential failure mechanism detecting the small process shift from considering the cost viewpoint. As a result in earlier investigations most control chart economic designs assumed the occurrence time of an assignable cause, which belongs to a random variable of exponential distribution with constant hazard rates because of their administrative simplicity. However, it may not be appropriate for some processes which deteriorate over time. Hence, this study employs a numerical example to indicate the solution procedure and to implement the sensitivity analysis while comparing the results of using various sampling interval approaches.
Starting Page	1510
Ending Page	1513
File Size	662475
Page Count	4
File Format	PDF
ISBN	9781457707407
ISSN	2157362X
e-ISBN	9781457707391
e-ISBN	9781457707384
DOI	10.1109/IEEM.2011.6118169
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-06
Publisher Place	Singapore
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Economics Variable sampling interval Electric shock Fixed-length sampling Process control Control charts Vectors Economic design Mathematical model Monitoring $T^{2}$ control chart
Content Type	Text
Resource Type	Article

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