ABSTRACT
In the area of engineering, mathematical modeling is a commonly used approach to performing various types of analysis. This chapter presents a number of mathematical models considered useful for performing various types of engineering systems reliability, safety, and maintenance analysis. Model I represents an engineering system that can be in any one of the three states: system operating normally in the field, system failed in the field, and failed system in the workshop for repair. Model II represents an engineering system operating in a fluctuating environment (e.g., normal and stormy weather). The system can fail operating either in a normal or an abnormal environment. Model III represents an engineering system that can be in any one of the three states: operating normally, operating unsafely, and failed. The system is repaired from unsafe working state and fully failed state. Model IV represents an engineering system having three states: operating normally, failed unsafely, and failed safely.
