考虑工业设备老化时的递阶最优生产控制策略

摘要

A production system consisting of a set of failure-prone equipment is studied , whose state jump rate depends on its aging . A new hierarchical optimal production rate control framework involving setup and aging of the system is discussed. By introducing new state variable and new time horizon of the objective function, the original problem is decomposed and the necessary and sufficient dynamic programming optimality conditions in the lower level are proposed according to the optimal production duration. Simulation results show the feasibility of the proposed approach in practice.%就切换并不太频繁的不可靠生产系统的最优生产控制进行研究, 且系统的故障率与其老化程度有关. 以寻求最优的生产控制使其折扣率目标泛函取最小值. 根据系统自身特性, 对目标泛函的积分上限给予新的含义, 引入新的状态变量对问题进行分解, 建立了考虑setup时间及成本的递阶流率控制结构框架, 在最优生产时间标准下给出考虑设备故障情况下有限时域内的动态规划时最优控制率存在的充分必要条件. 仿真结果表明, 该生产策略更易于工程实现.