X̅ Charts with Variable Control and Warning Limits
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Shashibhushan B. Mahadik
Abstract
Adaptive control charts deliver significantly better performances than that of static control charts. However, the frequent switches between sampling interval lengths and/or between sample sizes can be a complicating factor in the administration of these charts. This factor is totally absent for the adaptive chart proposed in this paper. The proposed chart is an X̅ chart with variable control and warning limits (VCWL). Expressions for the performance measures for this chart are developed. The methods presented are general and can be applied to other Shewhart control charts. The performances of VCWL X̅ charts are compared numerically with that of static X̅ charts. It is observed that the idea of VCWL significantly improves the performances of X̅ charts in detecting small to moderate shifts in the process mean without affecting that in detecting large shifts.
©2014 Walter de Gruyter Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Assessment of Traditional Demerits and a New Ordinal Alternative
- Acceptance Sampling Plans Under Truncated Life Tests Assuming a Half Exponential Power Life Distribution
- Comparison of Lower Bounds for the Variance of Unbiased Estimators for some Well-known Families of Distributions
- Order k Version of the Alternative Hyper-Poisson Distribution
- Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications
- X̅ Charts with Variable Control and Warning Limits
- Transmuted Generalized Inverted Exponential Distribution
- Selection of modified quick switching systems for given acceptable and limiting quality levels with minimum risks using weighted poisson distribution
- Multivariate Process Capability Index: A Review and Some Results
- Selection of Bayesian Single Sampling Plans by Attributes with Desired Discrimination
Artikel in diesem Heft
- Frontmatter
- Assessment of Traditional Demerits and a New Ordinal Alternative
- Acceptance Sampling Plans Under Truncated Life Tests Assuming a Half Exponential Power Life Distribution
- Comparison of Lower Bounds for the Variance of Unbiased Estimators for some Well-known Families of Distributions
- Order k Version of the Alternative Hyper-Poisson Distribution
- Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications
- X̅ Charts with Variable Control and Warning Limits
- Transmuted Generalized Inverted Exponential Distribution
- Selection of modified quick switching systems for given acceptable and limiting quality levels with minimum risks using weighted poisson distribution
- Multivariate Process Capability Index: A Review and Some Results
- Selection of Bayesian Single Sampling Plans by Attributes with Desired Discrimination
