A phased mission system to be a success, the system must successfully operate throughout all of the phases. A reliability computative model of cold-standby phased mission systems was proposed based on the reliability computative model of cold-standby systems, its components have two states and the time to failure of all the components obeys the exponential distribution. Considering some important effect factors of systems- reliability optimization, the sub-desirability functions of system reliability, system volume, system mass and system cost were built, and their effect modulus were determined through analysis hierarchy process method. Synthesizing these effect factors, a reliability redundancy optimization model of cold-standby phased mission systems was established based on the synthesis desirability functions. The particle swarm optimization was used to solve the reliability redundancy optimization model. The proposed solutions are verified and illustrated through a three phased cold standby system. The model-s rationality and the arithmetic-s validity were validated by the experimental results.
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