The effect of failure dependence on the failure probability characteristics of systems is taken into account, and the system strength probability distribution models of series system and parallel system are derived from the system level, respectively. The failure probability models of series and parallel systems, which can embody the effectsof parameters, such as system composing structure, load, strength, and so on, are developed by taking continuous variable and discrete variable as the life parameters, respectively. The life probability characteristics of series and parallel systems are studied. The results show that the mean time to first failure (MTTFF) of parallel system is not only more than that of series system but also more than those of the components that compose the system, and the MTTFF of series system is less than those of the components.
Key words
probability theory /
system /
failure dependence /
failure probability /
life distribution /
mean time to first failure
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Footnotes
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