能耗与质量约束下的生产系统集成维护决策

Integrated preventive maintenance decision model for production systems with energy consumption and quality constraints

为了将串行生产系统劣化过程中的能耗递增与质量损失情况集成到同一个维护模型中,本文提出了带有能耗约束及质量约束的生产系统预防性维护决策模型。利用伽马过程对系统的劣化情况进行建模,将系统中的能耗递增与次品率增长过程离散化,随后建立了多指标集成维护阈值并引入节能机会窗机制对系统实施维护,以系统总成本最小化为目标,寻找最优的预防性维护阈值与约束组合。利用蒙特卡洛算法对模型进行求解与实例分析,结果表明:在不同规模中,该维护模型相对常规预防性维护策略和事后维护策略的总成本分别降低了6.01%~15.49%与16.02%~29.96%,能够有效控制系统的能耗成本与质量成本。

To integrate the increased energy consumption and quality loss in the degradation of serial production systems into a maintenance model,this study proposes a preventive maintenance decision model with energy consumption and quality constraints.First,system degradation is modeled by a gamma process,and the increasing process of energy consumption and fault rate in the system is discretized.Second,the multiattribute integrated maintenance threshold is established,and the energy-saving opportunity window mechanism is introduced for maintenance.The goal is to minimize the total cost of the system by finding the optimal combination of preventive maintenance threshold and constraint.Finally,the Monte Carlo algorithm is used to solve the model and analyze real examples.Results show that the proposed maintenance model can effectively optimize energy cost and quality loss in different scales as it reduces the total cost by 6.01%-15.49%relative to preventive maintenance and by 16.02%-29.96%relative to corrective maintenance.