考虑故障停机的生产控制与维修计划联合决策模型

通过生产控制与维修计划协同决策，降低生产成本。首先描述生产过程，分析各项费用。其次，建立了考虑生产过程失控、故障率和故障停时间的生产过程控制、生产计划优化和维修管理联合优化决策的模型。通过模型求解，联合制定出生产过程检查策略、生产计划（经济生产批量、生产批次）以及维修计划（PM间隔期），实现单位时间内总费用最低的目标。再次，案例研究，分析生产过程失控、故障率和故障停机时间对于经济生产批量、生产过程检查策略和生产系统维修计划的影响。该模型从理论上解决了生产过程控制、生产计划优化和维修管理联合优化决策难题，对于指导企业制定生产计划和生产系统的检修计划，进而提高产品质量、降低生产成本、确保准时交货都具有指导意义和实用价值。

Modelling of Simultaneous Decision Making of Production Control and Maintenance Schedule in the Context of Failure Downtime

The objective is to make simultaneous decision of the production control and maintenance schedule decreasing the product cost. Firstly, the production system is introduced, its production process is given, and all kinds of cost are listed. Secondly, a model is stabled considering the process deterioration rate, the failure rate of production system and failure downtime, simultaneously making decision of the production process control, production planning and maintenance schedule. The established model is used to determine the inspection number in a production run, the production planning including the determination of economic manufacturing quantity (EMQ), the optimal number of production runs, and the interval of preventive maintenance (PM), and further to realize the objective of minimization of the total cost per unit time. Thirdly, a case study is given, which illustrates those factors, such as the deterioration rate of process, failure rate and downtime occurred by failure, affect the decision of production planning, the inspection policy of process and the maintenance schedule. In a word, this established model not only theoretically guides how to simultaneously decision of the production process control, production planning and maintenance schedule, but also can guide enterprises to formulate the optimal production planning and maintenance schedule and further to improve product quality and to decrease production cost.