X-bar control chart design with asymmetric control limits and triple sampling

Oprime, Pedro Carlos; Costa, Naijela Janaina da; Mozambani, Carlos Ivan; Gonçalves, Celso Luiz

doi:10.1007/s00170-018-2640-3

Cited by 7 publications

(3 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The economic statistical design of the DS and TS

\bar{X}

charts were introduced by Iziy et al 11 . In another study, Oprime et al 12 presented the Shewhart

\bar{X}

chart with asymmetric limits and TS, as well as considered the effect of estimating statistical parameters.…”

Section: Introductionmentioning

confidence: 99%

“…Hsu 10 highlighted the fact that the conclusion of He et al 9 where the TS X chart is more effective than the DS X chart in minimizing the ASS 0 is questionable, as they only considered the ASS 0 criterion. The economic statistical design of the DS and TS X charts were introduced by Iziy et al 11 In another study, Oprime et al 12 presented the Shewhart X chart with asymmetric limits and TS, as well as considered the effect of estimating statistical parameters.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of measurement errors on triple sampling X¯${{\bar{\bm X}}}$ chart

Umar

Khoo

Saha

et al. 2022

Quality & Reliability Eng

View full text Add to dashboard Cite

The performance of the triple sampling (TS) X¯$\bar{X}$ chart is investigated by using a linear covariate error model that considers the presence of measurement errors (ME), called the TS‐ME chart. The sensitivity of the TS‐ME chart is evaluated by means of the average run length (ARL) and standard deviation of the run length (SDRL) performance measures. Additionally, the false alarm rate (FAR) metric is also considered in analyzing the TS‐ME chart's performance. The findings reveal that, as expected, ME significantly affect the TS‐ME chart's performance but taking multiple measurements for each item may compensate for this setback. An example based on real‐life data is given to illustrate the application of the TS‐ME chart.

show abstract

“…The economic statistical design of the DS and TS

\bar{X}

charts were introduced by Iziy et al 11 . In another study, Oprime et al 12 presented the Shewhart

\bar{X}

chart with asymmetric limits and TS, as well as considered the effect of estimating statistical parameters.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of measurement errors on triple sampling X¯${{\bar{\bm X}}}$ chart

Umar

Khoo

Saha

et al. 2022

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…Reference [20] implemented a design of double and triple sampling X-bar control charts using genetic algorithms, and it is concluded that TS charts were more efficient than DS charts in terms of minimizing the ASN. More recent research focused on triple sampling control charts can be found in [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Optimized np Attribute Control Chart Using Triple Sampling

2022

View full text Add to dashboard Cite

This paper studies an attribute control chart for monitoring the number of nonconforming items using a triple sampling (TS-np) which has not yet been applied to attribute control charts. The chart design and procedure for the decision about the state of the process are given. Mathematical expressions for the average run length (ARL) for in-control and out-of-control processes and the average sample number (ASN) are given. A bi-objective genetic algorithm that seeks to minimize the ASN and the probability of type 2 error is implemented in order to optimize the design of the TS-np control chart. A comparison between TS-np, single sampling np (SS-np), double sampling np (DS-np), and multiple dependent state repetitive sampling (MDSRS) control charts is carried out in terms of the out-of-control average run length (). Tables of values for TS-np are presented in comparison with MDSRS and DS-np for various scenarios. The operation of the proposed control chart is shown through simulated data. Finally, it is concluded that the proposed TS-np chart has a better performance in terms of detecting small and moderate shifts in the process nonconforming rate in-control () compared with MDSRS and DS-np.

show abstract