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A dynamic stress-strength model with stochastically decreasing strength

Title
A dynamic stress-strength model with stochastically decreasing strength
Authors
Cha, Ji HwanFinkelstein, Maxim
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2015
Journal Title
METRIKA
ISSN
0026-1335JCR Link1435-926XJCR Link
Citation
vol. 78, no. 7, pp. 807 - 827
Keywords
Stress-strength modelExternal shock processNonhomogeneous Poisson processMultivariate stochastic order
Publisher
SPRINGER HEIDELBERG
Indexed
SCIE; SCOPUS WOS scopus
Abstract
We consider a dynamic stress-strength model under external shocks. The strength of the system decreases with time and the failure occurs when the strength finally vanishes. Furthermore, there is another cause of the system failure induced by an external shock process. Each shock is characterized by the corresponding stress. If the magnitude of the stress exceeds the current strength, then the system also fails. We assume that the initial strength of the system and its decreasing drift pattern are random. We derive the survival function of the system and interpret the time-dependent dynamic changes of the random quantities which govern the reliability performance of the system.
DOI
10.1007/s00184-015-0528-x
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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