Reliability of capacitated systems with performance sharing mechanism

Abstract Studies have been done on the reliability modelling of systems with performance sharing mechanism, which is applicable in energy systems, computing systems, pollution treatment systems, etc. Most existing researches share a common assumption that every component must satisfy its demand after proper performance redistribution, i.e., performance sharing. However, some systems may allow certain extent of performance deficiency. In this paper, we consider a system with performance sharing mechanism where the system works as long as the summed weighted deficiency is smaller than the reliable threshold (pre-set value) after two types of performance sharing: surplus redistribution and maximal redistribution. The amount of shared performance is limited by the capacity of bandwidth. A universal generating function technique is adopted to evaluate the system reliability, and numerical examples are presented to illustrate the applications.