Mathematical analysis of multi unit systems

Abstract

The word reliable is commonly used in the same sense as dependable. When a statement is made to the effect that a particular component is reliable, we mean that the component will behave in the manner that is expected of it. If that particular component happens to fail unexpectedly, we accept it as a chance failure, thus the expected behaviour under certain assumed conditions along with a certain degree of uncertainty form the basis of definition of reliability. newlineIn life data analysis and accelerated life testing data analysis, as well as other testing activities, one of the primary objectives is to obtain a life distribution that describes the times-to-failure of a component, subassembly, assembly or system. This analysis is based on the time of successful operation or time-to-failure data of the item (component), either under use conditions or from accelerated life tests. For any life data analysis, the analyst chooses a point at which no more detailed information about the object of analysis is known or needs to be considered. At that point, the analyst treats the object of analysis as a quotblack box.quot The selection of this level (e.g., component, subassembly, assembly or system) determines the detail of the subsequent analysis. newline To accomplish this, the relationships between components are considered and decisions about the choice of components can be made to improve or optimize the overall system reliability, maintainability and/or availability. There are many specific reasons for looking at component data to estimate the overall system reliability. One of the most important is that in many situations it is easier and less expensive to test components/subsystems rather than entire systems. Many other benefits of the system reliability analysis approach also exist and will be presented throughout. newline newline