The Repair-replacement Policy For Warm Standby System And Its Average Cost Rate

This article discusses the warm standby repairable systemmaintenance-replacement policy model and studies the following threeaspects.Firstly, we consider maintenance-replacement policy model ofwarm standby repairable without preventive repair. In the case of thecomponent1has priority in use and the component2may go wrongduring the reserve, we consider the number of failures N of thecomponent1as replacement policy. We can obtain the average cost rateof the system, and then a numerically example is given to get an optimalreplacement policy.Secondly, the repair-replacement problem for a warm standbyrepairable system is investigated mainly. The system consists of twodissimilar components and a repairman, in which component1is the main component. As a supplementary component, component2is onlyused at the time that component1is under preventive repair or failurerepair. The component2may go wrong during in the reserve. Minimummaintenance carried out immediately after the failure.Finally, the optimal bivariate repair-replacement model for a warmstandby unit series repairable system consisting of three dissimilarcomponents is studied. Assume that component1has priority in use, andcomponent3is a supplementary component of component2. A bivariatepolicy (N1,N2)is adopted for the system, whereN1, N2are the numberof failures of component1and component2, respectively. The aim is todetermine an optimal bivariate policyC (N,N)*12such that the averagecost rate of the system is minimized.