带缓冲区的基于时间延迟的可修设备联合优化

考虑到设备停机时间较长对企业经济效益的影响，在设备间设置缓冲区；同时考虑到设备单目标维修决策模型的不足，以及故障次数表达的精确程度对决策的影响，借用了时间延迟理论，建立了可修复设备的联合决策模型。为了满足设备的生产要求，以及最优化缓冲区生产系统的费用水平，将分别以平均单位时间的总停机时间、平均单位时间的总费用作为目标函数，来进行研究。通过时间延迟理论，分析了故障形成的过程，并表达出故障次数。借用更新报酬定理，来表达两目标函数。由离散迭代算法，求解得到：最优的检查周期和额定库存分别为25 d、1 195件时，总费用率在停机时间率为0.199时最小为22 739.95元。另外，进行了敏感性分析来验证最优解，最后由求解结果来指导生产线维修管理。

A Joint Optimization Decision of a Time-delayed Remediation Device with a Buffer

Taking into account the effect of the long downtime on the economic benefit of the enterprise, the buffer between the equipment is set up. At the same time, considering the lack of equipment maintenance decision model of single target, and the accurate degree of failure frequency expression influencing decision-making, borrowing from the theory of time delay, a joint decision model is established, by which the equipment can be repaired. In order to meet the production requirements of the equipment and the cost level of the optimized buffer production system, the total downtime per average unit time and the total cost per average unit time are respectively used as the objective function for study. Through the time delay theory, the process of fault formation is analyzed, and the fault number is expressed. Two objective functions are expressed by updating the remuneration theorem. According to the discrete iterative algorithm, the optimal inspection period and rated inventory are respectively 25 days and 1,195 pieces, and the total cost rate is 22,739.95 yuan when the downtime rate is 0.199. In addition, a sensitivity analysis is carried out to verify the optimal solution, and the result is used to guide production line maintenance management.