This paper proposes, implements and evaluates an original discretization method for continuous random variables, in order to estimate the reliability of systems for which stress and strength are defined as complex functions, and whose reliability is not derivable through analytic techniques. This method is compared to other two discretizing approaches appeared in literature, also through a comparative study involving four engineering applications. The results show that the proposal is very efficient in terms of closeness of the estimates to the true (simulated) reliability. In the study we analyzed both a normal and a non-normal distribution for the random variables: this method is theoretically suitable for each parametric family.
A discretizing method for reliability computation in complex stress-strength models / A. Barbiero. - In: WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY. - ISSN 2010-376X. - 71:(2010 Nov), pp. 75-81. ((Intervento presentato al convegno International conference on Computational mathematics, Statistics and Data engineering tenutosi a Venezia nel 2010.
A discretizing method for reliability computation in complex stress-strength models
A. Barbiero
Primo
2010
Abstract
This paper proposes, implements and evaluates an original discretization method for continuous random variables, in order to estimate the reliability of systems for which stress and strength are defined as complex functions, and whose reliability is not derivable through analytic techniques. This method is compared to other two discretizing approaches appeared in literature, also through a comparative study involving four engineering applications. The results show that the proposal is very efficient in terms of closeness of the estimates to the true (simulated) reliability. In the study we analyzed both a normal and a non-normal distribution for the random variables: this method is theoretically suitable for each parametric family.File | Dimensione | Formato | |
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