The objective of this research is to select the appropriate control charts for detecting a shift in the autocorrelated observations. The autocorrelated processes were characterized using AR (1) and IMA (1, 1) for stationary and non-stationary processes respectively. A process model was simulated to achieve the response, the average run length (ARL). The empirical analysis was conducted to quant...

In some quality control applications, the quality of a process or a product is described by the relationship between a response variable and one or more explanatory variables, called a profile. Moreover, in most practical applications, the qualitative characteristic of a product/service is vague, uncertain and linguistic and cannot be precisely stated. The purpose of this paper is to propose a ...

A cumulative sum (CUSUM) control chart is one of the most popular methods used to detect a process mean shift. When one specific size of the mean shift is assumed, the CUSUM chart can be optimally designed in terms of average run length (ARL). In practice, however, the size of the mean shift is usually unknown, and the CUSUM chart can perform poorly when the actual size of the mean shift is sig...

The accuracy of the measurement system is vital for reliable process monitoring using statistical control charts. applied chart’s effectiveness depends on system's performance. Measurement uncertainty can lead to incorrect decisions like unnecessary stops or failure intervene. In this paper, we investigated effect errors performance four well-established combined charts mean normally distribute...

The aim of this study is to develop an automatic control loop monitoring system. The first step includes the detection of changes and of oscillations in the control error and in the control signal. To determine the parameters of the statistical change detection test (a CUSUM test), the average run length (ARL) function is exploited. To detect oscillations, a modified version of Hägglund’s appro...

Apart from Bayesian approaches, the average run length (ARL) to false alarm has always been seen as the natural performance criterion for quantifying the propensity of a detection scheme to make false alarms, and no researchers seem to have questioned this on grounds that it does not always apply. In this article, we show that in the change-point problem with mixture pre-change models, detectio...

In this paper, we proposed a new quality control chart for the sample mean based on a cost free and anti wasting sampling unit’s scheme known by the folded ranked set sampling (FRSS). The new control charts were compared with the classical control charts when the data obtained by using simple random sampling (SRS) and ranked set sampling (RSS). A simulation study showed that the FRSS based cont...

The implementation of Statistical Quality Control (SQC) has been tracked in various areas, such as agriculture, environment, industry, and health services. employment SQC methodologies is frequently employed for monitoring identification process irregularities across fields. This research proposes implements a novel methodology agricultural areas. A control chart one the tools that facilitates ...

While the assumption of normality is required for the validity ofmost of the available control charts for jointmonitoring of unknown location and scale parameters, we propose and study a distribution-free Shewhart-type chart based on the Cucconi statistic, called the Shewhart-Cucconi (SC) chart. We also propose a follow-up diagnostic procedure useful to determine the type of shift the process m...

To keep an eye on the status of high-quality processes for fraction nonconforming, synthetic double sampling (SDS) np chart is a helpful tool. The SDS hybrid between (DS) and conforming run length (CRL) chart. performance control typically judged solely using average (ARL). However, as shape (RL) distribution varies with magnitude shift in process ARL no longer provides clear interpretation cha...