Lifetime multiple response optimization of metal extrusion die

Lepădatu, Daniel; Kobi, Abdessamad; Hambli, Ridha; Barreau, A.

doi:10.1109/rams.2005.1408335

Cited by 13 publications

(12 citation statements)

References 9 publications

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“…Observe that the log-BS 2 distribution is also more asymmetric as α 1 = α 2 increases. Note also that, when α 1 , α 2 > 2, the log-BS 2 distribution is bimodal, as in the univariate case, but such values are likely to be rare in practice; see Lepadatu et al (2005); and Desousa et al (2018). …”

Section: Illustrationmentioning

confidence: 99%

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Multivariate Birnbaum-Saunders Distributions: Modelling and Applications

Aykroyd

Leiva

Marchant

2018

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Abstract:Since its origins and numerous applications in material science, the Birnbaum-Saunders family of distributions has now found widespread uses in some areas of the applied sciences such as agriculture, environment and medicine, as well as in quality control, among others. It is able to model varied data behaviour and hence provides a flexible alternative to the most usual distributions. The family includes Birnbaum-Saunders and log-Birnbaum-Saunders distributions in univariate and multivariate versions. There are now well-developed methods for estimation and diagnostics that allow in-depth analyses. This paper gives a detailed review of existing methods and of relevant literature, introducing properties and theoretical results in a systematic way. To emphasise the range of suitable applications, full analyses are included of examples based on regression and diagnostics in material science, spatial data modelling in agricultural engineering and control charts for environmental monitoring. However, potential future uses in new areas such as business, economics, finance and insurance are also discussed. This work is presented to provide a full tool-kit of novel statistical models and methods to encourage other researchers to implement them in these new areas. It is expected that the methods will have the same positive impact in the new areas as they have had elsewhere.

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Section: Illustrationmentioning

confidence: 99%

“…Next, a typical dataset on metal die fatigue in material science is considered, where stress during the regular life cycle of the die eventually leads to failure; see Lepadatu et al (2005). Although the die lifetime is the main measure of fatigue, other response variables can also be studied.…”

Section: Illustrationmentioning

confidence: 99%

Multivariate Birnbaum-Saunders Distributions: Modelling and Applications

Aykroyd

Leiva

Marchant

2018

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“…This application focuses on modeling the die lifetime (T ) in the process of metal extrusion. The data were taken from Lepadatu et al (2005). According to the authors, "the estimation of tool life (fatigue life) in the extrusion operation is important for scheduling tool changing times, for adaptive process control and for tool cost evaluation."…”

Section: Applicationmentioning

confidence: 99%

Size and power properties of some tests in the Birnbaum–Saunders regression model

Lemonte

Ferrari

2011

Computational Statistics & Data Analysis

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The Birnbaum-Saunders distribution has been used quite effectively to model times to failure for materials subject to fatigue and for modeling lifetime data. In this paper we obtain asymptotic expansions, up to order n −1/2 and under a sequence of Pitman alternatives, for the nonnull distribution functions of the likelihood ratio, Wald, score and gradient test statistics in the Birnbaum-Saunders regression model. The asymptotic distributions of all four statistics are obtained for testing a subset of regression parameters and for testing the shape parameter. Monte Carlo simulation is presented in order to compare the finite-sample performance of these tests. We also present an empirical application.

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“…In order to illustrate the proposed approach we present the example (Lepadatu et al 2004) of an extrusion process optimization problem, which is currently applied in mechanical manufacturing industry. Recently, the extrusion process (Figure 8) has acquired a fundamental role in metal forming and many researches proposed different design techniques (Gierzynska-Dolna et all 2003, Arif.…”

Section: Applicationmentioning

confidence: 99%