Economic design of the VSSI control charts for correlated data

Chen, Yan‐Kwang; Hsieh, Kun-Lin; Chang, Cheng‐Chang

doi:10.1016/j.ijpe.2006.10.008

Cited by 55 publications

(27 citation statements)

References 30 publications

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“…n 1 and n 2 represent two kinds of samples, while (n 1 <n 2 ) and h 1 and h 2 represent two kinds of sampling intervals (h 1 <h 2 ). In the VSSI-T 2 sampling method, the parameters n 1 ,n 2 ,h 1 ,h 2 ,w,k,m determine the performance of the control chart (Chen et al, 2007). nðnewÞ,hðnewÞ ¼…”

Section: Vssi-t 2 Control Chartmentioning

confidence: 99%

“…In 1993, Rahim et al proposed a generalized model for the economic design of x control charts for production systems (Rahim and Banerjee, 1993). Chen et al (2007) developed an economic design of VSSI control charts for correlated data. In 2011, Chih et al used the particle swarm optimization (PSO) method for the economic control chart designs (Chih et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

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DE based economic control chart design and application for a typical petrochemical process

Li¹,

Qian²,

Du³

et al. 2017

Front. Eng

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Petrochemical industry plays an important role in the development of the national economy. Purified terephthalic acid (PTA) is one of the most important intermediate raw materials in the petrochemical and chemical fiber industries. PTA production has two parts: p-xylene (PX) oxidation process and crude terephthalic acid (CTA) hydropurification process. The CTA hydropurification process is used to reduce impurities, such as 4-carboxybenzaldehyde, which is produced by a side reaction in the PX oxidation process and is harmful to the polyester industry. From the safety and economic viewpoints, monitoring this process is necessary. Four main faults of this process are analyzed in this study. The common process monitoring methods always use T 2 and SPE statistic as control limits. However, the traditional methods do not fully consider the economic viewpoint. In this study, a new economic control chart design method based on the differential evolution (DE) algorithm is developed. The DE algorithm transforms the economic control chart design problem to an optimization problem and is an excellent solution to such problem. Case studies of the main faults of the hydropurification process indicate that the proposed method can achieve minimum profit loss. This method is useful in economic control chart design and can provide guidance for the petrochemical industry.

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Section: Vssi-t 2 Control Chartmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

DE based economic control chart design and application for a typical petrochemical process

Li¹,

Qian²,

Du³

et al. 2017

Front. Eng

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show abstract

“…A static control chart has fixed parameters, including sample size n, sampling interval h, lower control limit (LCL) and upper control limit (UCL), whereas an adaptive control chart has at least one of its parameters (n, h, LCL and UCL) allowed to be changed based on the information about the state of the process. Compared with the static control charts, the adaptive control chart can utilise the inspection capacity more effectively for a better process control ( [11,12,13,14]). Recent research on adaptive control charts can be found in [15,16,17,18].…”

Section: Introductionmentioning

confidence: 99%

Optimal inspection policy for three-state systems monitored by control charts

Wang

2011

Applied Mathematics and Computation

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This paper presents the formulations of the expected long-run cost per time unit for a system monitored by a static control chart and by an adaptive control chart respectively. The static chart has a fixed sampling interval and a fixed sample size. The adaptive chart has a fixed sample size but variable sampling intervals. The system is supposed to have three states, normal working state, failure delay time state, and failed state. Two levels of repair are used to maintain the system. A minor repair is used to restore the system if a detectable defect is confirmed by an inspection. A major repair will be performed if the system fails. The expected cost per time unit for maintaining such a system is obtained. The objective of such analysis is to find an optimal sampling policy for the inspection process. An artificially generated data example and a real data example are used to compare the expected cost per time unit for both the static and adaptive control charts.

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“…An adaptive control chart can utilise the inspection capacity more effectively for better process control ( [9,10,11,12,13,14,4]). There has been little work in investigating the potential of an adaptive control chart to monitor a system that has different repair levels.…”

Section: Introductionmentioning

confidence: 99%

Optimal inspection policy for three-state systems monitored by variable sample size control charts

2010

Int J Adv Manuf Technol

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This paper presents the expected long-run cost per unit time for a system monitored by an adaptive control chart with variable sample sizes (VSS): if the control chart signals that the system is out-of-control, the followed sampling will be conducted with a larger sample size. The system is supposed to have three states: in-control, out-of-control, and failed. Two levels of repair are applied to maintain the system. A minor repair will be conducted if an assignable cause is confirmed by an inspection and a major repair will be performed if the system fails. Both the minor and major repairs are assumed to be perfect. We derive the expected long-run cost per unit time, which can be used to obtain the optimal inspection policy. Numerical examples are conducted to validate the derived cost.Keywords: Quality control maintenance policy control chart repairable system multi-state system adaptive control chart IntroductionCondition-based maintenance has nowadays been widely applied to monitoring the performance of important systems for improving their availabilities. Control * Suggested Citation: Wu, S. (2011). Optimal inspection policy for three-state systems monitored by variable sample size control charts. The International Journal of Advanced Manufacturing Technology,[689][690][691][692][693][694][695][696][697]

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Economic design of the VSSI control charts for correlated data

Cited by 55 publications

References 30 publications

DE based economic control chart design and application for a typical petrochemical process

DE based economic control chart design and application for a typical petrochemical process

Optimal inspection policy for three-state systems monitored by control charts

Optimal inspection policy for three-state systems monitored by variable sample size control charts

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