On designing Maxwell CUSUM control chart: an efficient way to monitor failure rates in boring processes

M. Pear Hossain; Ridwan A. Sanusi; M. Hafidz Omar; Muhammad Riaz

doi:10.1007/s00170-018-2679-1

On designing Maxwell CUSUM control chart: an efficient way to monitor failure rates in boring processes

M. Pear Hossain^*, Ridwan A. Sanusi, M. Hafidz Omar, Muhammad Riaz

^*Corresponding author for this work

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

35 Scopus citations

Abstract

The ordinary CUSUM chart is based on normality assumption. But in real-life phenomenon such as monitoring of lifetime variable, this assumption is not always valid. Hence, a variant of the CUSUM chart, the VCUSUM chart, has been constructed to monitor small shift in a process that is based on a Maxwell distribution. The performance of the chart has been checked by studying the run length properties and it was found to perform better for small shifts as compared to Shewhart type V chart for Maxwell parameter. Finally, a real-life application is presented to monitor the failure rate of a vertical boring machine.

Original language	English
Pages (from-to)	1923-1930
Number of pages	8
Journal	International Journal of Advanced Manufacturing Technology
Volume	100
Issue number	5-8
DOIs	https://doi.org/10.1007/s00170-018-2679-1
State	Published - 19 Feb 2019

Bibliographical note

Publisher Copyright:
© 2018, Springer-Verlag London Ltd., part of Springer Nature.

Keywords

CUSUM control chart
Exponential family of distribution
Gamma distribution
Maxwell distribution
Run length distribution

ASJC Scopus subject areas

Control and Systems Engineering
Software
Mechanical Engineering
Computer Science Applications
Industrial and Manufacturing Engineering

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10.1007/s00170-018-2679-1

Cite this

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title = "On designing Maxwell CUSUM control chart: an efficient way to monitor failure rates in boring processes",

abstract = "The ordinary CUSUM chart is based on normality assumption. But in real-life phenomenon such as monitoring of lifetime variable, this assumption is not always valid. Hence, a variant of the CUSUM chart, the VCUSUM chart, has been constructed to monitor small shift in a process that is based on a Maxwell distribution. The performance of the chart has been checked by studying the run length properties and it was found to perform better for small shifts as compared to Shewhart type V chart for Maxwell parameter. Finally, a real-life application is presented to monitor the failure rate of a vertical boring machine.",

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note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag London Ltd., part of Springer Nature.",

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AU - Riaz, Muhammad

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AB - The ordinary CUSUM chart is based on normality assumption. But in real-life phenomenon such as monitoring of lifetime variable, this assumption is not always valid. Hence, a variant of the CUSUM chart, the VCUSUM chart, has been constructed to monitor small shift in a process that is based on a Maxwell distribution. The performance of the chart has been checked by studying the run length properties and it was found to perform better for small shifts as compared to Shewhart type V chart for Maxwell parameter. Finally, a real-life application is presented to monitor the failure rate of a vertical boring machine.

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KW - Exponential family of distribution

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KW - Maxwell distribution

KW - Run length distribution

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On designing Maxwell CUSUM control chart: an efficient way to monitor failure rates in boring processes

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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