Reliability in a random environment
Rockower, Edward B.
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Correlations in the failures of subsystems or components may arise when they share a common, random environment. It is shown that a natural tool for calculating the reliability of such systems is the characteristic functional of the random hazard rate, h(t). Some general results for the reliability of series and parallel systems in terms of the characteristic functional of the hazard rate are derived and applied to a number of models of random environments. The applications include random hazard functions arising from 1) non-fatal shocks of random amplitudes, 2) a Markovian, Gamma-marginal stochastic process, 3) system stress related to unrepaired damage from incoming rounds, and 4) impulsive and accumulated heat stresses from a laser battle
NPS Report NumberNPS55-86-018
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