Abstract
A reliability evaluating method for multi-state flow network and a system thereof are disclosed. The method includes following steps: finding candidate path sets of the multi-state flow network; using a prime number function to convert the candidate path sets to candidate path values; removing the repeat value in the candidate path values to keep the corresponded candidate path sets do not repeat and set as the minimum path sets; calculating the reliability of the multi-state flow network based on the data flow and data load of the minimum path sets.