Exact economic design of X¯ charts for general time in-control distributions

Surtihadi, Johan; Raghavachar, M.

doi:10.1080/00207549408957068

Cited by 21 publications

(6 citation statements)

References 12 publications

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“…Processes with a shift due to assignable causes, e.g., Lorenzen and Vance [7], Banerjee and Rahim [8], Nayebpour and Woodall [9], Surtihadi and Raghavachar [10], and Wu et al [11], are not within the scope of our interest here. Measurement uncertainty in checking is also ignored.…”

Section: Introductionmentioning

confidence: 80%

Optimization of checking interval and adjustment limit for random-walking process including effects of adjustment uncertainty and time lag

et al. 2014

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<p>Taguchi's online quality control aims at the optimization of the checking interval and adjustment limit of a process from the economic point of view. (The checking interval corresponds to the calibration interval for the control of a measuring device.) The present study provides a mathematical formalism and an efficient computation method to take adjustment uncertainty and time lag into consideration in the optimization of a random-walking property. In cases where either the checking cost or the adjustment cost is free, the approximate analytical solution is given. Qualitatively, a larger uncertainty of adjustment derives a shorter optimized checking interval and a larger adjustment limit. On the other hand, a larger time lag derives a smaller checking interval and adjustment limit. Information of approximate equations and a data set (CSV) useful for efficient computation is provided.</p>

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Section: Introductionmentioning

confidence: 80%

Optimization of checking interval and adjustment limit for random-walking process including effects of adjustment uncertainty and time lag

et al. 2014

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“…In some situations, the sampling procedure, false alarms, and failure to detect out‐of‐control signals could be very costly. Hence, an economic design is preferred if the economic consequences of the design are significant . Economic designs are based on either minimizing the cost or maximizing the profit, per unit of time or per unit produced …”

Section: Introductionmentioning

confidence: 99%

“…Hence, an economic design is preferred if the economic consequences of the design are significant. 11 Economic designs are based on either minimizing the cost or maximizing the profit, per unit of time or per unit produced. 12 The economic design was first proposed by Duncan 13 and later generalized by Lorenzen and Vance.…”

Section: Introductionmentioning

confidence: 99%

Economic-Statistical Design of the Synthetic X¯ Chart with Estimated Process Parameters

Yeong

Khoo

et al. 2014

Qual. Reliab. Engng. Int.

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In this paper, the effects of process parameter estimation on the cost of the synthetic trueX¯ chart are studied. We study the increase in cost when the optimal chart's parameters corresponding to the known process parameters case are used to estimate the cost when the process parameters are actually just estimated. By studying the increase in cost, practitioners will be able to determine whether the optimal chart's parameters, computed based on known process parameters, can still be used to reliably estimate the cost when the target values of the process mean and variance are estimated. We also look at the minimum number of preliminary subgroups needed for the estimation of process parameters so that the cost for the estimated process parameters case is almost the same as the cost for the known process parameters case. Furthermore, we also look at the cost savings, in the case of process parameter estimation when the optimal chart's parameters are computed based on estimated process parameters, instead of adopting the chart's parameters corresponding to known process parameters. This enables practitioners to determine the cost advantages of selecting the chart's parameters that minimize the cost when process parameters are estimated, instead of adopting the optimal charting parameters corresponding to the case of known process parameters. Copyright © 2014 John Wiley & Sons, Ltd.

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“…Psarakis has studied the use of neural networks in statistical process control. However, Surtihadi & Raghavachari have stated that purely statistical model is not necessarily optimal from the cost (economic) point of view. An economic model is preferred if the economic consequences of the design are significant.…”

Section: Introductionmentioning

confidence: 99%

“…Recent papers based on statistical performance are, among others, Castagliola et al, 3 De Magalhaes et al, 4 Costa et al, 5 Weiß & Atzmüller, 6 Reynolds & Stoumbos, 7 Schoonhoven & Does 8 and Wu et l. 9 Psarakis 10 has studied the use of neural networks in statistical process control. However, Surtihadi & Raghavachari 11 have stated that purely statistical model is not necessarily optimal from the cost (economic) point of view. An economic model is preferred if the economic consequences of the design are significant.…”

Section: Introductionmentioning

confidence: 99%

Economically Optimum Design of a Synthetic Chart

Yeong

Khoo

et al. 2011

Quality & Reliability Eng

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This paper proposes an economic model for the synthetic chart. The synthetic chart is an integration of the trueX¯ chart and the CRL chart. A simplified algorithm to obtain the optimal parameters of the synthetic chart which minimizes the expected cost function is introduced. Numerical examples based on different values of input parameters are given, and sensitivity analyses of the parameters are performed. The input parameters which have a significant impact on the cost and choice of optimal parameters of the synthetic chart are identified. The effect of incorrect estimation of the input parameters is also investigated, and it is found that the optimal design parameters are quite robust to changes in the input parameters, except the shift parameter. It is also shown that if the chart cannot be operated at the economically optimal level, there is still a large choice of parameters to choose from which does not result in a large increase in cost. All the above analyses and results are based on numerical examples and verified through simulation over a wide range of parameter values. Comparisons are also performed among the synthetic Shewhart trueX¯ and EWMA charts. Based on the numerical examples and simulation over a wide range of parameter values, it is shown that the synthetic chart has better economic performance than the other two control charts under most conditions. Copyright © 2011 John Wiley & Sons, Ltd.

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Exact economic design of X¯ charts for general time in-control distributions

Cited by 21 publications

References 12 publications

Optimization of checking interval and adjustment limit for random-walking process including effects of adjustment uncertainty and time lag

Optimization of checking interval and adjustment limit for random-walking process including effects of adjustment uncertainty and time lag

Economic-Statistical Design of the Synthetic X¯ Chart with Estimated Process Parameters

Economically Optimum Design of a Synthetic Chart

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