On the Comparison between the Reliability of Units Produced by Different Production Lines

TL;DR

This paper presents a statistical methodology for comparing the reliability of units from different production lines using Weibull Gamma distributions, aiding manufacturing quality assessment.

Contribution

It introduces a new approach for reliability comparison based on independent samples and Weibull Gamma models, with real-world data illustration.

Findings

Reliability functions can be effectively compared at specific times.

The methodology is applicable to real manufacturing data.

It enhances reliability assessment practices in production environments.

Abstract

The paper discusses how to evaluate the reliability of units produced by different production lines. The procedure is based on selecting independent random samples of units produced by different production lines and then evaluating reliability functions for each group of units. The comparison between these reliability functions at a given time allows manufacturing experts to evaluate the effectiveness of production lines. A statistical methodology has been taken based on the assumption that the lifetime of units produced by each product line has a Weibull Gamma distribution. Then, real-world data is used to illustrate the study's contribution to reliability theory applications.