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Economic Statistical Design of Multivariate T^2 Control Chart with Variable Sample Sizes
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M. Bamenimoghadam   , N. Najmi Sarooghi |
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Abstract: (9237 Views) |
| Today, quality improvement and cost reduction are key factors for achieving business
success, growth and position. One of the primary tools for quality improvement and cost reduction in
online activities of statistical process control is control charts. As the need for monitoring several
correlated quality characteristics is extensively growing, the use of multivariate control charts
becomes more popular. Among these, the control chart is the most popular due to many
advantages. In this paper, the variable sampling scheme is studied to increase the power of the fixed
sampling rate (
)
control chart to show small shifts. In this study, one of the parameters of
control chart, e.g., the sample size, vary between three values, depending on the most recent
value.
The design of
control chart with three variable sample sizes (
3
) from the statistical and
economic perspective has been investigated, when the shift in the process mean does not occur at the
beginning but at some random time in the future. Therefore, the Markov Chain approach used to
develop the cost function. Then, the genetic algorithm (
GA
) is applied to search for the optimal values
of the parameters of the
3
control chart. Finally, numerical comparisons among
and
3
schemes are made and discussed.
Keywords:
Multivariate T
2
Control Chart with Three Variable Sample Sizes (3VSS), Small Shifts,
Markov Chain, Genetic Algorithm. |
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Full-Text [DOCX 193 kb]
(2594 Downloads)
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Type of Study: Research |
Subject:
General
Received: 2011/11/12 | Published: 2011/11/15
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