Non-normality Effects on the Economic Statistical Design of X¯ Control Charts Under Burr XII Shock Models View Full Text


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Article Info

DATE

2018-06

AUTHORS

Ali Akbar Heydari, Mohammad Bameni Moghadam

ABSTRACT

In economic design of control charts, the distribution of quality characteristics and the distribution of failure mechanism or the shock model should be specified. The objective is then to determine three design parameters, i.e. the sample size, sampling interval and the control limits coefficient. In most of the designs and based on the central limit theorem, the sample mean distribution is considered normal where it may not be true in all cases. As economic statistical design of X¯ control charts for normal data with the Burr XII shock model is being under publication by the authors of the present study, non-normality case of this with non-uniform sampling scheme was developed here. The obtained design models have been implemented by a numerical example and a sensitivity analysis was conducted too. The results showed that the scale and shape parameters of the Burr shock model significantly affect the expected cost per unit time of quality cycle. Likewise, it was revealed that using the non-normal assumption caused smaller sample size, narrower control limits and lower expected cost per unit time of the quality cycle. More... »

PAGES

707-719

References to SciGraph publications

  • 2003-11. An evolutionary economic-statistical design for VSI X control charts under non-normality in THE INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY
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    http://scigraph.springernature.com/pub.10.1007/s40995-017-0172-6

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    http://dx.doi.org/10.1007/s40995-017-0172-6

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