The Optimal Replacement Policies For Standby System Models

The analysis on maintenance policy of the standby system is one of the most important work in the research of reliability, which are of some practical significance in raising the efficiency and protecting the safety of the system. Cold standby system and warm standby system are the most famous models in the research of the standby system. On the basis of the current researches, the paper has extended and analyzed these two systems. We derived the explicit expressions of the expected cost rate by using the renewal process theory under the corresponding assumptions, and we also obtained the optimal policies of these models by several numerical simulations. The main work is listed as follows:(1) To the cold standby system which is based on its repairman having vacations, we quoted an extended Poisson process to describe the working state and the repair state of the main component. In order to reduce the cost of the system, we consider a new replacement policy based on the failed times of the main component and the repair situations of the another component at the end of a renewal cycle. Then, we derived the explicit expression of the object function of this model. Finally, several numerical examples are given to visualize some theory results in this model.(2) To the cold standby system which’s repairman have no vacation, we considered a repairable model with preventive repair, and quoted a bivariate maintenance policy. Then, we derived the explicit expression of the expected cost rate on the basis of the assumption that the main component has priority in use and repair.(3) To the warm standby system which is based on its repairman having vacations, we assumed that there was no inspection on the spare parts, and then derived the object function under the assumption that the main component has priority in use.