8,280 research outputs found
Multivariate Statistical Process Control Charts: An Overview
In this paper we discuss the basic procedures for the implementation of multivariate statistical process control via control charting. Furthermore, we review multivariate extensions for all kinds of univariate control charts, such as multivariate Shewhart-type control charts, multivariate CUSUM control charts and multivariate EWMA control charts. In addition, we review unique procedures for the construction of multivariate control charts, based on multivariate statistical techniques such as principal components analysis (PCA) and partial lest squares (PLS). Finally, we describe the most significant methods for the interpretation of an out-of-control signal.quality control, process control, multivariate statistical process control, Hotelling's T-square, CUSUM, EWMA, PCA, PLS
Reflective jacket
Safety product is created for workers, students, people and society to prevent from dangerous, harmful, injured also risks situation that can be occurs before, during and after works. The materials to produce the safety product must be strong, hard, good resistance, fast treatment and others characteristic that can be protect and prevent the user from the dangerous. Sometimes, the cost to produce the safety product is expensive because of the material to make the safety product become the good products
A nonparametric control chart based on the Mann-Whitney statistic
Nonparametric or distribution-free charts can be useful in statistical
process control problems when there is limited or lack of knowledge about the
underlying process distribution. In this paper, a phase II Shewhart-type chart
is considered for location, based on reference data from phase I analysis and
the well-known Mann-Whitney statistic. Control limits are computed using
Lugannani-Rice-saddlepoint, Edgeworth, and other approximations along with
Monte Carlo estimation. The derivations take account of estimation and the
dependence from the use of a reference sample. An illustrative numerical
example is presented. The in-control performance of the proposed chart is shown
to be much superior to the classical Shewhart chart. Further
comparisons on the basis of some percentiles of the out-of-control conditional
run length distribution and the unconditional out-of-control ARL show that the
proposed chart is almost as good as the Shewhart chart for the normal
distribution, but is more powerful for a heavy-tailed distribution such as the
Laplace, or for a skewed distribution such as the Gamma. Interactive software,
enabling a complete implementation of the chart, is made available on a
website.Comment: Published in at http://dx.doi.org/10.1214/193940307000000112 the IMS
Collections (http://www.imstat.org/publications/imscollections.htm) by the
Institute of Mathematical Statistics (http://www.imstat.org
Exponentially Weighted Moving Average Charts for Monitoring the Process Generalized Variance
The exponentially weighted moving average chart based on the sample generalized variance is studied under the independent multivariate normal model for the vector of quality measurements. The performance of the chart is based on an analysis of the chart\u27s initial and steady-state run length distributions. The three methods that are commonly used to determinate run length distribution, simulation, the integral equation method, and the Markov chain approximation are discussed. The integral equation and Markov chain approaches are analytical methods that require a nu- merical method for determining the probability density and cumulative distribution functions describing the distribution of the sample generalized variance. Two meth- ods for determining numerically these functions are discussed. The equivalence of the integral equation and Markov chain methods is shown resulting in a new method for obtaining a Markov chain approximation of the chart. Some examples of the implementation of these methods are given using MATLAB
On the constrained economic design of control charts: a literature review
The economic design is an appealing approach to settle the design parameters of a control chart. Unfortunately, the economic models to design control charts have been scarcely implemented by quality practitioners due to the simplifying assumptions when representing the multifaceted complexity and constraints present within manufacturing and transactional environments. Although there has been an increasing scepticism about the economic models usefulness in practice, some recent studies proposed in literature face the problem of the control charts economic design from a new point of view: the objective is to achieve a well balanced trade-off between the operational and the statistical aspects. Under this perspective, the economic design problem can be intended in a broader sense as the constrained design of a SPC inspection procedure. This paper presents a discussion of some recent trends in the economic design stream of research and outlines the importance of considering the constraints related to SPC resources availability and modelling the occurrence of random shifts
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