Economic design of a variable sample size -chart

Park, Changsoon; Reynolds, Marion R.

doi:10.1080/03610919408813182

Cited by 67 publications

(23 citation statements)

References 12 publications

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“…A large sample size is used when there is some indication of a problem and a small sample size is used when there is no indication of a problem. VSSX charts have been studied by Park and Reynolds (1994). Annadi et al (1995) considered VSS CUSUM charts.…”

Section: Introductionmentioning

confidence: 99%

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Economic design of a variable sampling rate EWMA chart

Park¹,

Lee²,

Kim³

2004

IIE Transactions

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A Variable Sampling Rate (VSR) control chart is a control chart whose sampling scheme is to vary the sampling interval and the sample size for the next sample depending on the current chart statistic. A VSR EWMA chart is an EWMA chart with the VSR sampling scheme. An economic model, which was developed for a VSRX chart, is also applied here to evaluate the efficiency of the VSR EWMA chart. The properties of the VSR EWMA chart are obtained by using a Markov chain approach. The model contains cost parameters which allow the specification of the costs associated with sampling, false alarms and operating off target as well as search and repair. This economic model can be used to quantify the cost saving that can be obtained by using a VSR chart instead of a Fixed Sampling Rate (FSR) chart and can also be used to gain insight into the way that a VSR chart should be designed to achieve optimal economic performance. It is shown that with some design parameter combinations the economically optimal VSR chart has a lower false alarm rate than the FSR chart.

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Section: Introductionmentioning

confidence: 99%

“…The idea of the VSR chart is to combine the VSI and VSS features. VSR X charts were considered by Prabhu et al (1994Prabhu et al ( , 1997, Costa (1997) and Park and Reynolds (1999). VSR CUSUM charts were considered by Rendtel (1990) and Arnold and Reynolds (2001).…”

Section: Introductionmentioning

confidence: 99%

Economic design of a variable sampling rate EWMA chart

Park¹,

Lee²,

Kim³

2004

IIE Transactions

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“…An example of using adaptive control charts to reduce sampling costs while maintaining the same out-of-control performance level was discussed by Baxley 16 . For an example of a study that considers more explicitly the economic costs of various adaptive sampling schemes to determine appropriate charts, see Park and Reynolds 17 .…”

Section: Relationship Between Settings and Performance Measuresmentioning

confidence: 99%

Design issues for adaptive control charts

Jensen

Bryce

Reynolds

2008

Quality & Reliability Eng

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Adaptive control charts allow the components of the quality-monitoring scheme to vary in order to obtain improved performance over non-adaptive control charts. Research has centered on components such as the sample size, time between samples, warning limits, and control limits and has recommended a variety of schemes, many of which are optimal in some sense. In practice, there are many other adaptive schemes that are near optimal, which will still yield considerable improvement over non-adaptive control charts. In addition, the impact of parameter estimation on adaptive control chart performance must be taken into consideration. Based on the simulation results shown here, adaptive control charts should only be used for mature processes, where a sufficient amount of Phase I data have been obtained to ensure that the estimated control limits are accurate. When evaluating control chart performance, we consider initial state performance measures for simplicity and note that the conclusions obtained here apply to steady-state performance measures. The evaluation of performance measures is easily handled by the Markov chain approach detailed in the Appendix.

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“…Typical economically designed VSI control charts are also proposed in Das, Jain, and Gosavi (1997) and Bai and Lee (2002). Similar adaptive control charts where the sample size (instead of the sampling interval) is allowed to vary according to each measurement are called Variable Sample Size (VSS) charts and their economic design is introduced in Park and Reynolds (1994). A natural consequence of the ascertainment that both VSI and VSS control charts are superior to the simple, fixed-parameter charts, was the development of VSSI (Variable Sample Size and Sampling Interval) control charts Park and Reynolds 1999).…”

Section: Introductionmentioning

confidence: 99%

Optimisation of fully adaptive Bayesian charts for infinite-horizon processes

Nenes

2013

International Journal of Systems Science

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This article presents a model for the economic design and optimisation of an adaptive " X-chart used to monitor the process mean in infinite runs. Assignable causes may randomly affect the mean of the process by shifting it from its target value to an undesirable level. The proposed model allows the determination of the scheme parameters that minimise the total expected quality cost of the procedure. The monitoring mechanism of the process employs a Bayesian chart and at each sampling instance the economically optimum design parameters of the chart are estimated using the Bayes theorem. The effectiveness of the proposed model is estimated through economic comparisons with simpler variable-parameter charts and even simpler fixed-parameter charts. It is shown that significant economic improvement can be achieved through the use of the new model.

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Economic design of a variable sample size -chart

Cited by 67 publications

References 12 publications

Economic design of a variable sampling rate EWMA chart

Economic design of a variable sampling rate EWMA chart

Design issues for adaptive control charts

Optimisation of fully adaptive Bayesian charts for infinite-horizon processes

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