Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment

Muhammad Aslam,Mohammed Albassam,Nasrullah Khan

doi:10.3390/sym10120690

Muhammad Aslam, Mohammed Albassam + Show 1 more

Open Access

https://doi.org/10.3390/sym10120690

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Abstract

Existing control charts based on failure-censored (Type-II) reliability tests were designed using classical statistics. Classical statistics was applied for the monitoring of the process when observations in the sample or the population were determined. Neutrosophic statistics (NS) are applied when there is uncertainty in the sample or population. In this paper, a control chart for failure-censored (Type-II) reliability tests was designed using NS. The design of a control chart for the Weibull distribution, which is applied when there is a lack of symmetry using neutrosophic statistics, is given. The proposed control chart was used to monitor the neutrosophic mean and neutrosophic variance, which are related to the neutrosophic scale parameter. The advantages of the proposed control chart over the existing control chart are discussed.

Highlights

During the manufacturing process, the monitoring of two variations, which can shift the process from the specified target, is an important task
We found no work on the design of control charts for failure-censored reliability tests in the uncertainty environment
We focus on the design of such control charts using the neutrosophic statistical interval method (NSIM)

Summary

Introduction

The monitoring of two variations, which can shift the process from the specified target, is an important task. Control charts are designed under the assumption that the production data follow the normal distribution or come from the normal manufacturing process. Reference [30] designed a control chart in which the process follows a Weibull distribution. Khan et al [34] designed a control chart for a failure-censored reliability test for the Weibull distribution. These variability causes create vagueness in the measurement system.” In this case, a control chart using the fuzzy approach was used for monitoring the process. Reference [60] designed a variance control chart using the NSIM They showed the efficiency of charts using NS over those based on classical statistics. We found no work on the design of control charts for failure-censored reliability tests in the uncertainty environment. More details failure censored reliability can be seen in reference [61]

State of the Art

Advantages of the Proposed Chart

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Case Study

Conclusions