Economic design of a nonparametric control chart for shift in location

Cheng-Long Li; A. Mukherjee; Q. Su; M. Xie

doi:10.2991/978-94-6239-100-0_68

Economic design of a nonparametric control chart for shift in location

Cheng-Long Li^*
, A. Mukherjee
, Q. Su
, M. Xie

^*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

1 Citation (Scopus)

Abstract

Most control charts economically designed rely on the assumption of normality or some specific process distribution. However, when identifying a specific distribution is not possible or unlikely as full knowledge is not available in practice, the economic effectiveness of conventional charts is very likely to be heavily discounted. In this paper, an economic model based on the Duncan-type cost function is researched on, which is applied to design a nonparametric sign chart to monitor the location parameter of a univariate process. Numerical results show that the proposed design performs fit well for various continuous distributions.

Original language	English
Title of host publication	Proceedings of the 5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014
Publisher	Atlantis Press
Pages	369-373
ISBN (Print)	9789462390997
DOIs	https://doi.org/10.2991/978-94-6239-100-0_68
Publication status	Published - 2014
Event	5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014 - Xi'an, China Duration: 21 Jul 2014 → 22 Jul 2014 http://www.atlantis-press.com/publications/aer/iemi-14/ (unknown)

Conference

Conference	5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014
Place	China
City	Xi'an
Period	21/07/14 → 22/07/14
Internet address	http://www.atlantis-press.com/publications/aer/iemi-14/ (unknown)

Research Keywords

Adaptive plug-in technique
Duncan-type cost function
Nonparametric
Sign statistic

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10.2991/978-94-6239-100-0_68

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@inproceedings{9214f84a70cd42918e9708eed11491b6,

title = "Economic design of a nonparametric control chart for shift in location",

abstract = "Most control charts economically designed rely on the assumption of normality or some specific process distribution. However, when identifying a specific distribution is not possible or unlikely as full knowledge is not available in practice, the economic effectiveness of conventional charts is very likely to be heavily discounted. In this paper, an economic model based on the Duncan-type cost function is researched on, which is applied to design a nonparametric sign chart to monitor the location parameter of a univariate process. Numerical results show that the proposed design performs fit well for various continuous distributions.",

keywords = "Adaptive plug-in technique, Duncan-type cost function, Nonparametric, Sign statistic",

author = "Cheng-Long Li and A. Mukherjee and Q. Su and M. Xie",

year = "2014",

doi = "10.2991/978-94-6239-100-0\_68",

language = "English",

isbn = "9789462390997",

pages = "369--373",

booktitle = "Proceedings of the 5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014",

publisher = "Atlantis Press",

note = "5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014 ; Conference date: 21-07-2014 Through 22-07-2014",

url = "http://www.atlantis-press.com/publications/aer/iemi-14/",

}

Li, C-L, Mukherjee, A, Su, Q & Xie, M 2014, Economic design of a nonparametric control chart for shift in location. in Proceedings of the 5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014. Atlantis Press, pp. 369-373, 5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014, Xi'an, China, 21/07/14. https://doi.org/10.2991/978-94-6239-100-0_68

Economic design of a nonparametric control chart for shift in location. / Li, Cheng-Long; Mukherjee, A.; Su, Q. et al.
Proceedings of the 5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014. Atlantis Press, 2014. p. 369-373.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Economic design of a nonparametric control chart for shift in location

AU - Li, Cheng-Long

AU - Mukherjee, A.

AU - Su, Q.

AU - Xie, M.

PY - 2014

Y1 - 2014

N2 - Most control charts economically designed rely on the assumption of normality or some specific process distribution. However, when identifying a specific distribution is not possible or unlikely as full knowledge is not available in practice, the economic effectiveness of conventional charts is very likely to be heavily discounted. In this paper, an economic model based on the Duncan-type cost function is researched on, which is applied to design a nonparametric sign chart to monitor the location parameter of a univariate process. Numerical results show that the proposed design performs fit well for various continuous distributions.

AB - Most control charts economically designed rely on the assumption of normality or some specific process distribution. However, when identifying a specific distribution is not possible or unlikely as full knowledge is not available in practice, the economic effectiveness of conventional charts is very likely to be heavily discounted. In this paper, an economic model based on the Duncan-type cost function is researched on, which is applied to design a nonparametric sign chart to monitor the location parameter of a univariate process. Numerical results show that the proposed design performs fit well for various continuous distributions.

KW - Adaptive plug-in technique

KW - Duncan-type cost function

KW - Nonparametric

KW - Sign statistic

UR - https://www.scopus.com/pages/publications/84928013616

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84928013616&origin=recordpage

U2 - 10.2991/978-94-6239-100-0_68

DO - 10.2991/978-94-6239-100-0_68

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9789462390997

SP - 369

EP - 373

BT - Proceedings of the 5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014

PB - Atlantis Press

T2 - 5th International Asia Conference on Industrial Engineering and Management Innovation, IEMI 2014

Y2 - 21 July 2014 through 22 July 2014

ER -

Economic design of a nonparametric control chart for shift in location

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Research Keywords

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