Formulas for the design of CUSUM quality control charts

Peter A. Rogerson

doi:10.1080/03610920500440032

Formulas for the design of CUSUM quality control charts

Peter A. Rogerson

Geography

University at Buffalo

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

In the design of CUSUM control charts, it is common to use charts, tables, or software to find an appropriate critical threshold ( h ). This article provides an approximate formula to calculate the threshold directly from prespecified values of the reference value ( k ) and the in-control average run length (ARL 0 ). Formulas are also provided for choosing k and h from prespecified values of the in-control and out-of-control average run lengths.

Original language	English
Pages (from-to)	373-383
Number of pages	11
Journal	Communications in Statistics - Theory and Methods
Volume	35
Issue number	2
DOIs	https://doi.org/10.1080/03610920500440032
State	Published - Mar 2006

Keywords

Average run length
CUSUM design
Reference value
Threshold

Access to Document

10.1080/03610920500440032

Cite this

@article{6318394381ac4b5985fadb76f381c03a,

title = "Formulas for the design of CUSUM quality control charts",

abstract = "In the design of CUSUM control charts, it is common to use charts, tables, or software to find an appropriate critical threshold ( h ). This article provides an approximate formula to calculate the threshold directly from prespecified values of the reference value ( k ) and the in-control average run length (ARL 0 ). Formulas are also provided for choosing k and h from prespecified values of the in-control and out-of-control average run lengths.",

keywords = "Average run length, CUSUM design, Reference value, Threshold",

author = "Rogerson, \{Peter A.\}",

year = "2006",

month = mar,

doi = "10.1080/03610920500440032",

language = "English",

volume = "35",

pages = "373--383",

journal = "Communications in Statistics - Theory and Methods",

issn = "0361-0926",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Formulas for the design of CUSUM quality control charts

AU - Rogerson, Peter A.

PY - 2006/3

Y1 - 2006/3

N2 - In the design of CUSUM control charts, it is common to use charts, tables, or software to find an appropriate critical threshold ( h ). This article provides an approximate formula to calculate the threshold directly from prespecified values of the reference value ( k ) and the in-control average run length (ARL 0 ). Formulas are also provided for choosing k and h from prespecified values of the in-control and out-of-control average run lengths.

AB - In the design of CUSUM control charts, it is common to use charts, tables, or software to find an appropriate critical threshold ( h ). This article provides an approximate formula to calculate the threshold directly from prespecified values of the reference value ( k ) and the in-control average run length (ARL 0 ). Formulas are also provided for choosing k and h from prespecified values of the in-control and out-of-control average run lengths.

KW - Average run length

KW - CUSUM design

KW - Reference value

KW - Threshold

UR - https://www.scopus.com/pages/publications/32444431993

U2 - 10.1080/03610920500440032

DO - 10.1080/03610920500440032

M3 - Article

SN - 0361-0926

VL - 35

SP - 373

EP - 383

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 2

ER -

Formulas for the design of CUSUM quality control charts

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this