Stochastic Modeling of a two unit Parallel System under two types failures

Abstract

In this paper, stochastic models for identical two unit parallel system are developed in which the system is subjected to two types of failure. In the model I, the proposed system works in three modes: normal, deterioration and failure. In the deterioration mode, the system can be in slow, mild or fast deterioration.  Model II is a special case of Model I in which the system works in two modes: normal and failure no deterioration is allowed. The two models are developed using linear differential equations. Graphs are plotted to highlight the effect of deterioration, the behavior of mean time to system failure (MTSF) and availability. The results indicate that MTSF and availability of the system exposes to various degree of deterioration decreases more that the system without deterioration.