A new stress–strength model for systems subject to stochastic shocks

Gregory Levitin and Maxim Finkelstein

Journal of Risk and Reliability, 2017, vol. 231, issue 2, 172-179

Abstract: A new general approach for obtaining system survival probability under the Poisson shock process is suggested. It takes into account the explicitly defined distribution of shock magnitude (stress) and system strength deterioration caused by the previous shocks. The approach can be used for any form of stress distribution, strength deterioration function and stress–strength interplay model. Specifically, we use the contest success function to model the stress–strength interplay and a cumulative stress ratio form function to represent strength deterioration. Numerical examples illustrating the obtained results are presented.

Keywords: Shock; stress–strength interplay; Poisson process; survival probability; contest function (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:231:y:2017:i:2:p:172-179

DOI: 10.1177/1748006X16689543

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