Abstract
This study is to propose and design a new X-bar control chart utilizing previous subgroup information called a multiple dependent state control chart based on double control limits. The in-control Average Run Length (ARL) and the out-of-control ARLs according to mean shifts are derived. The performance of the proposed control chart is compared with the traditional X-bar chart in terms of ARLs, which shows the outperformance of the proposed control chart. This idea can be easily extended to other types of control charts.
Highlights
In a manufacturing process, the variation in the process may be caused due to several reasons for example, the external temperature, improper adjustment of manufacturing machines, human errors such as the operator error in recording or analyzing the data and defective raw material (He et al, 2002)
The Multiple Dependent State (MDS) X-bar control chart using double control limits is introduced in this study
The proposed control chart uses the current information from the sample and uses the pervious subgroup information
Summary
The variation in the process may be caused due to several reasons for example, the external temperature, improper adjustment of manufacturing machines, human errors such as the operator error in recording or analyzing the data and defective raw material (He et al, 2002). The process is favorable when it is in control because in this state the process is manufacturing the acceptable products. The control chart helps industrial engineers to monitor the manufacturer process and point out when the process is going to be out of control. The Shewhart X-bar control charts have been widely used for the measurement process. It is known that the control chart based on double sampling or triple sampling is more efficient than the single sampling. One of the important sampling schemes called the Multiple Dependent State (MDS) sampling has been widely used in the area of acceptance sampling plans. The proposed control chart is based on double control limits and utilizes the sample information from the previous subgroups in addition to the current subgroup. It is expected that the proposed control chart will be more efficient than the traditional Shewhart control chart in term of average run length
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