Probabilistic Analysis of a Single Unit Model with Controlled and Uncontrolled Demand Factor and Inspection Policy Available in the System

Abstract

The present paper deals with reliability analysis of a system comprises of a single unit. Initially system is in operative state with controlled demand factor i.e. when demand is less or equal to production then it may transit to the state with uncontrolled demand factor i.e. when demand is greater than production. The system remains in upstate with demand factor controlled and uncontrolled while in down state on failure of the unit. On failure of the system, an inspection is carried to detect the type of failure. There are three types of failures, i.e. failure due to poor design of component, improper selection of material and human error. Single repair facility is available to repair the system. The failure time distributions of the unit are taken as exponential and inspection time of the unit is also taken as exponential. The distribution of time to repair of unit is assumed to be general. The various important measures of system effectiveness have been obtained and studied.