生产批量计划与预防性维护的集成优化

Joint Optimization of Production Lot Planning and Preventive Maintenance

同时考虑预防性维护和设备失效引起的生产时间损失,并假定设备失效依赖于生产加工时间,建立了生产批量与维护计划集成优化数学模型,目标是最小化生产和维护总成本。针对该模型中含有复杂非线性约束的特点,提出了基于循环迭代框架的求解算法,将对该非线性模型的求解转化为对多个线性规划模型的求解。设计数值实验说明了迭代求解方法的有效性,以及所提模型相对于另外两种模型方法的优越性,并研究分析了若干参数的变动对模型结果的影响。

An integrated production lot and maintenance planning model is proposed in this paper. It considers operation-dependent failures and takes into account the loss of production time caused by both preventive and corrective maintenance. The aim is minimizing the sum of production costs and maintenance costs. For the model includes sophisticated nonlinear constraints, we propose an iteration-based solution algorithm. Computational experiments validate the effectiveness of the iterative algorithm and the superiority of our method compared with two other methods. The effects of several parameters on the results are also investigated.