服从延迟几何过程退化系统的订货-更换策略优化

建立了以可用度为约束的可修退化系统的订货更换模型,以系统故障次数N为订货更换策略,在第N-1次故障维修后发出订单、第N次故障后进行更换.利用延迟的几何过程刻画系统退化特征,给出了系统经维修后寿命分布的通项表达式.借助更新过程理论求得系统长期运行的平均可用度与费用率.在系统满足预期可用度的前提下,得出最优的策略使得平均费用率最低.最后,通过数值算例演示了本模型的有效性.

Optimal Order-Replacement Policy for a Deteriorating System Based on Delayed Geometric Process

Abstract： An order replacement model was developed for a repairable deteriorating system. The policy N was adopted where the system would be replaced after the the Nth failure and the spare system was ordered at the end of the (N-1)th failure. The deterioration process of the system was modeled by the delayed geometric process. The long run average availability and the average cost rate were derived by using the renewal reward theory. The optimal policy was obtained under the premise of meeting the availability requirement. Finally, a numerical example was given to illustrate the proposed model.