MULTI- STATE SYSTEM ANALYSIS WITH IMPERFECT FAULT COVERAGE, HUMAN ERROR AND STANDBY STRATEGIES

Abstract

The present work studies the reliability measures of a standby system using coverage factor. The considered system is a combination of main unit and two standby units. Provision of standbys has been taken for smooth functioning of the system. Onfailure of main unit standby units take the load of main unit and if both standby units failed, system goes to in completely failedstate. The failures and repairs of each unit follow exponential and general distribution respectively. The whole system has been analysed under imperfect coverage and human failure. Markov model has been developed to obtain the state transient probabilities. Various reliability measures like availability, MTTF, cost and sensitivity analysis have been evaluated with the help of supplementary variable technique and Laplace transformation. Some graphical illustrations have been taken for better understanding of the model.