Stochastic and Cost Analysis of Repairable Systems with Imperfect Repair

摘要

Components of operating systems should be maintained regularly in order to perform at desired levels; over time, these components fail to function and should be repaired. Repair is either perfect, where the failed component becomes as good as new, or imperfect repair where components are repaired several times before complete replacement. Imperfect repair is usually applied to expensive and non-critical components. In this research work, the performance of repairable systems undergoing either imperfect repair or replacement with probabilities is examined. Optimization models are also constructed with the objective of minimizing cost at different levels of availability. Analytical expressions for availability and optimal cost are derived for simple and non-complex systems, while simulation is utilized for complex systems. The analysis showed that both availability and cost are related to the number of repairs, number repair channels, and number of standby components in the system.