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This report presentsequationsand computationalalgorithmsfor analyzingreliabilityof severalforms of redundancyin repairable and non-repairablesystems. For repairable systems, active, standby, and R 0f N redundancy with and without repair are treated.For non-repairablesystems,active,standby,and R of N redundancyare addressed. These equationscan be used to calculate mean time between failures, mean time to repair, and reliabilityfor complexsystemsinvolvingredundancy.