Interval reliability of typical systems with partially known probabilities
Most probabilistic methods of the system reliability analysis assume that the component lifetime distributions are known precisely and the system components are independent. The paper considers reliability analysis of typical systems when the above assumptions are violated and there is only some partial information about the component lifetime distributions. The analysis is based on considering sets of possible probability distributions consistent with available information. All resulting expressions are obtained in the explicit form. The impact of incompleteness of initial data on the resulting system reliability measures is illustrated by a numerical example.
reliability uncertainty modelling imprecise probabilities incomplete information series and parallel systems lower and upper bounds