Abstract
The present paper deals with some simple finite population queueing systems which are used to describe the cold redundancy systems. The systems are assumed to be in a complete failure state as soon as all of the units are failed. For such models the time dependent state probabilities and reliability function are analyzed. It is shown that the reliability function have a weak sensitivity to the shape of the life and repair time distributions and this sensitivity vanishes upon the probability of the complete failure state decreases.
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