Modeling failure rate of a robotic welding station using generalized q-distributions. Issue 2 (2nd February 2015)

• Record Type: Journal Article
• Authors: Assis, Edilson M.; Borges, Ernesto P.; Vieira de Melo, Silvio A.B.; Schnitman, Leizer
• Is Part Of: International journal of quality & reliability management. Volume 32:Issue 2(2015)
• Page Start: 156
• Page End: 166
• Publication Date: 2015-02-02
• Subjects: Quality control -- Periodicals; 658.562
• DOI: 10.1108/IJQRM-11-2012-0151
• Languages: English
• ISSNs: 0265-671X

Abstract

<abstract> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <sec> <title content-type="abstract-heading">Purpose</title> <p> – The purpose of this paper is to compare four life data models, namely the exponential and the Weibull models, and their corresponding generalized versions, <italic>q</italic>-exponential and <italic>q</italic>-Weibull models, by means of one practical application. </p> </sec> <sec> <title content-type="abstract-heading">Design/methodology/approach</title> <p> – Application of the models to a practical example (a welding station), with estimation of parameters by the use of the least squares method, and the Akaike Information Criterion (AIC). </p> </sec> <sec> <title content-type="abstract-heading">Findings</title> <p> – The data of the example considered in this paper is divided into three regimes, decreasing, constant and increasing failure rate, and the <italic>q</italic>-Weibull model describes the bathtub curve displayed by the data with a single set of parameters. </p> </sec> <sec> <title content-type="abstract-heading">Practical implications</title> <p> – The simplicity and flexibility of the <italic>q</italic>-Weibull model may be very useful for practitioners of reliability analysis, and its benefits surpasses the inconvenience of the additional parameter, as AIC shows. </p> </sec> <sec> <title content-type="abstract-heading">Originality/value</title> <p> – The <italic>q</italic>-Weibull model is compared in detail with other three models, through the analysis of one example that clearly exhibits a bathtub curve, and it is shown that it can describe the whole time range with a single set of parameters.</p> </sec> </abstract>