Incorporates: International Journal of Quality Science
Online from: 1984
Subject Area: Managing Quality
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|Title:||Effect of use-rate on system life and failure models for 2D warranty|
|Author(s):||D.K. Manna, (SQC & OR Unit, Indian Statistical Institute, Chennai, India), Surajit Pal, (SQC & OR Unit, Indian Statistical Institute, Chennai, India), Sagnik Sinha, (Department of Mathematics, Jadavpur University, Kolkata, India)|
|Citation:||D.K. Manna, Surajit Pal, Sagnik Sinha, (2011) "Effect of use-rate on system life and failure models for 2D warranty", International Journal of Quality & Reliability Management, Vol. 28 Iss: 4, pp.464 - 482|
|Keywords:||Failure (mechanical), Mathematical modelling, Warranties|
|Article type:||Research paper|
|DOI:||10.1108/02656711111121843 (Permanent URL)|
|Publisher:||Emerald Group Publishing Limited|
|Acknowledgements:||The authors are grateful to two anonymous referees for several suggestions that have improved the presentation of the article.|
Purpose – The purpose of this paper is to characterise the failure model of a system that is covered by a two-dimensional warranty, one dimension depicting time and the other usage. Specifically, the authors study the effect of use-rate on system life when each constituent component life is described by an accelerated-failure-time (AFT) type model.
Design/methodology/approach – The paper evaluates the effect of use-rate on the expected failure time of a system having different internal configurations involving components. Firstly, the coherent structure as well as modules with redundant structures (standby and load-sharing) are analysed, whereby component failures are assumed to be conditionally independent. Study systems of some basic configurations with a general dependence structure among component failure instances are also studied.
Findings – The results strongly indicate that, irrespective of the internal component-configuration of the system, the models should posses the property that the expected failure time given the use-rate is a non-increasing function of use-rate. The study also reveals that dependence among components arises quite naturally due to variability in use-rate, even when all other factors of the usage environment are held constant.
Research limitations/implications – The findings of this paper are the outcome of a theoretical investigation. Although they are supported by some real-life cases as cited from the literature, it is important that they are validated through more examples.
Practical implications – The results would find a direct application in the analysis of two-dimensional warranty policies as well as the reliability assessment of consumer durables.
Originality/value – The proposed approach to the characterisation of a bivariate failure model (indexed by time and usage) is quite realistic. This investigation may lead to the development of a more suitable model.
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