Availability Equations for Redundant Systems, Both Single and Multiple Repair Capability

Abstract

Abstract : Reliability papers, technical reports, and textbooks almost universally document the derivation of availability equations for two unit full- on parallel redundant systems with the assumption of multiple repair crews or facilities. Multiple repair is the case where there are as many repair crews available as there are possible units to fail. Some reliability literature also derive the availability equations for two-unit standby redundant systems with the multiple repair assumption. Literature is scarce, however, for two unit full-on and standby parallel systems with single repair crew is available and hence, failed units can only be repaired one at a time); it is virtually nonexistent with respect to models of systems made up of more than two redundant units. This paper documents the derivation of availability models for two unit and three unit full-on and standby systems with single and multiple repair capability.