Exact Results for Shewhart Control Charts with Supplementary Runs Rules

Charles W. Champ; William H. Woodall

doi:10.1080/00401706.1987.10488266

Exact Results for Shewhart Control Charts with Supplementary Runs Rules

Charles W. Champ
, William H. Woodall

Mathematical Sciences

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

360 Scopus citations

Abstract

This article gives a simple and efficient method, using Markov chains, to obtain the exact run-length properties of Shewhart control charts with supplementary runs rules. Average run-length comparisons are made among the Shewhart X-chart with supplementary runs rules, the basic Shewhart X-chart, and the cumulative sum (CUSUM) chart.

Original language	American English
Journal	Technometrics
Volume	29
DOIs	https://doi.org/10.1080/00401706.1987.10488266
State	Published - 1987

Disciplines

Mathematics

Keywords

Average run length
Markov chain
Quality control

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10.1080/00401706.1987.10488266License: Unspecified

Cite this

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title = "Exact Results for Shewhart Control Charts with Supplementary Runs Rules",

abstract = " This article gives a simple and efficient method, using Markov chains, to obtain the exact run-length properties of Shewhart control charts with supplementary runs rules. Average run-length comparisons are made among the Shewhart X-chart with supplementary runs rules, the basic Shewhart X-chart, and the cumulative sum (CUSUM) chart.",

keywords = "Average run length, Markov chain, Quality control",

author = "Champ, \{Charles W.\} and Woodall, \{William H.\}",

note = "(1987). Exact Results for Shewhart Control Charts With Supplementary Runs Rules. Technometrics: Vol. 29, No. 4, pp. 393-399.",

year = "1987",

doi = "10.1080/00401706.1987.10488266",

language = "American English",

volume = "29",

journal = "Technometrics",

issn = "0040-1706",

publisher = "Taylor and Francis Ltd.",

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T1 - Exact Results for Shewhart Control Charts with Supplementary Runs Rules

AU - Champ, Charles W.

AU - Woodall, William H.

N1 - (1987). Exact Results for Shewhart Control Charts With Supplementary Runs Rules. Technometrics: Vol. 29, No. 4, pp. 393-399.

PY - 1987

Y1 - 1987

N2 - This article gives a simple and efficient method, using Markov chains, to obtain the exact run-length properties of Shewhart control charts with supplementary runs rules. Average run-length comparisons are made among the Shewhart X-chart with supplementary runs rules, the basic Shewhart X-chart, and the cumulative sum (CUSUM) chart.

AB - This article gives a simple and efficient method, using Markov chains, to obtain the exact run-length properties of Shewhart control charts with supplementary runs rules. Average run-length comparisons are made among the Shewhart X-chart with supplementary runs rules, the basic Shewhart X-chart, and the cumulative sum (CUSUM) chart.

KW - Average run length

KW - Markov chain

KW - Quality control

UR - https://doi.org/10.1080/00401706.1987.10488266

U2 - 10.1080/00401706.1987.10488266

DO - 10.1080/00401706.1987.10488266

M3 - Article

SN - 0040-1706

VL - 29

JO - Technometrics

JF - Technometrics

ER -

Exact Results for Shewhart Control Charts with Supplementary Runs Rules

Abstract

Disciplines

Keywords

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