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Sometimes, quality of a process can be described by a functional relationship between response variables and explanatory variables which called profile. In some situations, there is an autocorrelation structure within a profile. Most of the times in real practice there is no enough data to estimate the process parameters. In this case, we can use a self-starting control chart which does not need preliminary...
The manufacturing processes often involve multistage processes where the process capability of each stage is affected by the process capability of its previous stages. This property is known as cascade property. Therefore, the measured process capability indices in each stage represent the total capability of that stage. In the multistage processes two kinds of process capability index are defined...
Control charts are the most popular monitoring tools used to distinguish between special (assignable) and common causes of variation and to detect any changes in processes. The time that a control chart gives an out‐of‐control signal is not the real time of change. The actual time of the change is called the change point. Knowing the real time of the change will help and simplify finding the assignable...
There are many researches in the area of profile monitoring and most of them have two basic assumptions including the normality of response variable as well as independency of observations within each profile. In recent years there are some researches investigating the violation of the assumptions. This paper shows the effect of ignoring autocorrelation on the performance of T2 control chart when...
Recently, Profile monitoring in which the quality of a process or product can be characterized by a relationship between two or more variables has been considered by a lot of researchers. In different applications, the profiles can be linear or nonlinear in nature. Several methods have been proposed for monitoring simple linear profiles in Phase II. Some of these methods either have been developed...
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