Detecting a Shift in Process Average: Tables of the Power Function for <i>X̄</i> Charts

Wheeler, Donald J.

doi:10.1080/00224065.1983.11978868

Cited by 62 publications

(21 citation statements)

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“…Wheeler (1983) presents some tables enumerating the power of the X charts versus the mean shifts. Amin and Ethridge (1998) discussed the designs of the X&MR charts (the individual measurement chart and the moving range chart) for different combinations of mean shift and standard deviation shift.…”

Section: Introductionmentioning

confidence: 99%

Designs of &S control charts with optimal manpower deployment

Shamsuzzaman¹,

Wu²,

Elias³

2009

Computers & Industrial Engineering

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Section: Introductionmentioning

confidence: 99%

Designs of &S control charts with optimal manpower deployment

Shamsuzzaman¹,

Wu²,

Elias³

2009

Computers & Industrial Engineering

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“…We apply the constrained optimization procedure described in the previous section for both the traditional Shewhart chart and two runs rules with a lower bound of 500 on ATS 0 and an upper bound of 8 on ATS 1 . The results are shown in Table II.…”

Section: Numerical Examplementioning

confidence: 99%

Economic‐statistical design of 2‐of‐2 and 2‐of‐3 runs rule scheme

Kim

Hong

Lie

2008

Quality & Reliability Eng

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In this paper, we investigate the economic-statistical design method for the 2-of-2 runs rule and the 2-of-3 runs rule. The Markov chain approach is used to obtain the average run length and the process cycle time. In addition, a simplified algorithm is presented to search the optimal setting of the design parameters. A numerical example and sensitivity analysis are also provided to compare the performances of the runs rules. The results show that the use of runs rule scheme can reduce operating cost comparing with the Shewhart control chart while maintaining a good statistical performance.

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“…Exact run length results for the Shewhart charts with supplementary runs rules for the mean and variance were developed by Champ and Woodall 8 and Lowry et al 9 , respectively. The power functions of selected Shewhart x charts with runs rules were tabulated by Wheeler 10 . Shewhart-type charts for individual observations were considered by Roes et al 11 .…”

Section: Introductionmentioning

confidence: 99%

Interval Charting Schemes for Joint Monitoring of Process Mean and Variance

Gan

Ting

Chang

2004

Quality & Reliability Eng

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Shewhart mean and variance schemes continue to enjoy great popularity among process engineers because they are easy to understand and are the most sensitive in detecting large process shifts. For some processes, for example the screen printing process in memory modules assembly, there is a possibility of the process mean and variance shifting at the same time due to special causes. Thus, instead of studying the joint behavior by looking at the mean and variance information on two separate charts, it is practical and usually more meaningful to look at the combined mean and variance information on an interval charting scheme. The interval scheme is found to have a similar run length performance to the Shewhart mean and variance schemes and only a single chart needs to be managed. A simple design procedure for the interval scheme that matches the corresponding Shewhart scheme is provided for easy implementation. Also, the interval and Shewhart schemes are compared based on real manufacturing data sets.

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Detecting a Shift in Process Average: Tables of the Power Function for X̄ Charts

Cited by 62 publications

References 1 publication

Designs of &S control charts with optimal manpower deployment

Designs of &S control charts with optimal manpower deployment

Economic‐statistical design of 2‐of‐2 and 2‐of‐3 runs rule scheme

Interval Charting Schemes for Joint Monitoring of Process Mean and Variance

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