Analysis of a single-unit system with different failure modes by using regenerative point graphical technique

The specific word reliability = re + liability means repeated liability because of various breakdowns and failures of a device/system. The reliability engineering constitutes the core of the economy and the development of the infrastructure of a country. For a developing country like India with limited resources, it is all the more important to use its resources in a very optimal way, to achieve higher production by having increased reliability of the systems/equipments. Therefore, for upgrading a system the analysis needs to be done more economically, accurately and quickly without any cumbersome methodology and calculations. The main objective of this paper is to do the reliability analysis of a stochastic system, using Regenerative Point Graphical Technique instead of the regenerative point technique which needs a lot of calculation and simplification work. The analysis is done by using RPGT, of a single unit system which may fail partially before failing totally or it may directly fail totally with the server available on demand and repair done with or without inspection after the system fails totally or partially. As the system may not be fully available in its reduced/partially failed state, so the fuzzy measure of the state is used. The failure, repair and inspection time of the unit are independent and uncorrelated random variables.