Abstract
A reliability evaluating method for multi-state flow network with learning effect and a non-transitory storage device are provided. The method includes following steps: finding a plurality of minimum paths of the multi-state flow network; each arc of the plurality of minimum paths generating greater a load requirement capacity by the learning effect; judging whether the load requirement capacity is matching the maximum capacity and finding the system state vector; and calculating the reliability of the multi-state flow network as a basis for decision-making.