Multistate systems with static performance- dependent fault coverage

Abstract

The paper suggests a new fault coverage model for the case when the effectiveness of recovery mechanisms in a subsystem depends on the entire performance level of this subsystem. Examples of this effect can be found in computing systems, electrical power distribution networks, communication systems, etc. The paper presents a modification of the generalized reliability block diagram (RBD) method for evaluating reliability and performance indices of complex multistate series-parallel systems with performance-dependent fault coverage under the assumption that the system state cannot change during the task execution. The suggested method based on a universal generating function technique allows the system performance distribution to be obtained using a straightforward recursive procedure. Illustrative examples are presented.