Abstract
In some practical engineering systems, for example, power transmission systems, the performances of power transmission lines are dynamic and the minimum number of required working transmission lines is determined by their physical characteristics and the system requirement. Once a transmission line suffers from a failure, the remaining transmission lines continue working with increasing stresses and performances of the remaining transmission lines must be improved to satisfy the system requirement. The system fails after a certain number of transmission lines have failed and the remaining working lines cannot supply adequate performance to meet the system demand. Such systems are termed as dynamic k-out-of-n systems with coupling components. In this paper, the model description for the dynamic k-out-of-n system with coupling components is proposed. A multi-valued decision diagram (MDD) method is proposed to evaluate the reliability of the proposed system. Numerical analysis of an example power transmission system is provided to illustrate the proposed method.