关键词: 视情维护, 维护等待, 马尔可夫决策过程, 基于状态的生产

Abstract: To address the issue of long maintenance waiting times in reality due to inadequate timely maintenance support,a joint optimization model for condition-based maintenance and production is proposed. It is assumed that the production system initially operates at a maximum rate and that degradation depends on production. First, the degradation is modeled using a smooth gamma process and a quantitative relationship between the degradation and the production rate is established. Next,the problem is abstracted to a Markov decision process in discrete time and the Bellman equation for minimizing the long-time production cost under a single production cycle is constructed. Finally,the problem is solved using the value iteration method to obtain the optimal planned maintenance state thresholds and the optimal production rate in each state. The numerical example results show that when the maintenance waiting time changes,the system adjusts the maintenance state threshold in preference to the production strategy. In addition,based on the formulated optimal policy,the system produces at the maximum possible rate in the low degradation state and reduces the production rate only in the high degradation state to control the degradation.

Key words: condition-based maintenance, planning time, Markov decision process, condition-based production