Reliability of two-dissimilar-unit parallel system with delay in repair

This paper devotes to studying reliability of a two-dissimilar-unit parallel system with delay in repair. The failed system could not be repaired as soon as possible for some reasons. In order to reduce repair costs, it is necessary to separate the states to be delayed from repair states. The existence of unique time-dependent solution and stability of the system are proved. Finally some reliability indices are calculated.