Joint X̄ and R Charts with Variable Sample Sizes and Sampling Intervals
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Abstract
Recent studies have shown that the X̄ chart with variable sampling intervals (VSI) and/or with variable sample sizes (VSS) detects process shifts faster than the traditional X̄ chart. This article extends these studies for processes that are monitored by both the X̄ and R charts. A Markov chain model is used to determine the properties of the joint X and R charts with variable sample sizes and sampling intervals (VSSI). The VSSI scheme improves the joint X̄ and R control chart performance in terms of the speed with which shifts in the process mean and/or variance are detected.
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Adjusted Average Time to Signal, Markov Chains, Statistical Process Control, Variable Sample Size, Variable Sampling Intervals
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English
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Journal of Quality Technology, v. 31, n. 4, p. 387-397, 1999.
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