High intellectual, high flexible automatic manufacturing system based on low volume production is the trend in the future, but the traditional control charts whose control limits are based on at least 20～25 subgroups...High intellectual, high flexible automatic manufacturing system based on low volume production is the trend in the future, but the traditional control charts whose control limits are based on at least 20～25 subgroups of five observations each are not suitable in this environment. The paper presents variance control chart used in small batch production in which there are not sufficient observations. The control limits are set reliably without restriction of the number of samples.展开更多
In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, ...In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector. Methods to obtain the design parameters and operations of these control charts are discussed. Performances of the proposed charts are compared with some existing control charts. It is verified that, the proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts.展开更多
The Pareto distribution plays an important role in various areas of research. In this paper, the average run length （ARL） unbiased control charts, which monitor the shape and threshold parameters of the Pareto distr...The Pareto distribution plays an important role in various areas of research. In this paper, the average run length （ARL） unbiased control charts, which monitor the shape and threshold parameters of the Pareto distribution respectively, are proposed when the incontrol parameters are known. The effects of parameter estimation on the performance of the proposed control charts are also studied. Results show that the control charts with the estimated parameters are not suitable to be used in the known parameter case, thus the ARL-unbiased control charts for the shape and threshold parameters with the desired ARLo, which consider the variability of the parameter estimates, are further developed. The performance of the proposed control charts is investigated in terms of the ARL. Finally, an example is given to illustrate the proposed control charts.展开更多
文摘High intellectual, high flexible automatic manufacturing system based on low volume production is the trend in the future, but the traditional control charts whose control limits are based on at least 20～25 subgroups of five observations each are not suitable in this environment. The paper presents variance control chart used in small batch production in which there are not sufficient observations. The control limits are set reliably without restriction of the number of samples.
文摘In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector. Methods to obtain the design parameters and operations of these control charts are discussed. Performances of the proposed charts are compared with some existing control charts. It is verified that, the proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts.
基金Supported by Foundation of Ministry of Education of China(13YJC910005,13YJC910010,12YJA910005)Zhejiang Provincial Natural Science Foundation of China(LY16G020003)+2 种基金the Philosophy and Social Science Research Project in Zhejiang Province of China(13NDJC055YB)the National Natural Science Foundation of China(11371322)the Zhejiang Provincial Key Research Base for Humanities and Social Science Research(Statistics)
文摘The Pareto distribution plays an important role in various areas of research. In this paper, the average run length （ARL） unbiased control charts, which monitor the shape and threshold parameters of the Pareto distribution respectively, are proposed when the incontrol parameters are known. The effects of parameter estimation on the performance of the proposed control charts are also studied. Results show that the control charts with the estimated parameters are not suitable to be used in the known parameter case, thus the ARL-unbiased control charts for the shape and threshold parameters with the desired ARLo, which consider the variability of the parameter estimates, are further developed. The performance of the proposed control charts is investigated in terms of the ARL. Finally, an example is given to illustrate the proposed control charts.
