随机退化系统中最佳生产和维修策略的联合研究

Joint Optimization of Optimal Production and Maintenance Strategies for a Stochastic Degradation System

摘要: 在市场需求率不变的情况下，研究了随机退化系统中生产和维修计划的决策问题。系统的随机退化服从伽马过程，退化将导致次品率增加和系统状态异常。根据生产过程中系统是否发生故障，分别采用预防性维修和纠正性维修两种不同的方案。在综合考虑次品报废成本、库存成本、维修成本、缺货损失、检验成本等基础上，建立了以批量和生产率为决策变量的平均利润模型。数值分析验证了模型的有效性，灵敏度分析讨论了模型参数对最佳决策方案的影响。

Abstract: The decision problem of production and maintenance planning in a stochastic degradation system is studied with a constant market demand rate. The random degradation of the system obeys gam-ma process, which will lead to the increase of defective rate and abnormal state of the system. Ac-cording to whether the system breaks down in the production process, preventive maintenance and corrective maintenance are adopted. Based on the comprehensive consideration of defective scrap cost, inventory cost, maintenance cost, out-of-stock loss and inspection cost, an average profit model with batch quantity and productivity as decision variables is proposed. Numerical analysis verifies the validity of the model. Sensitivity analysis discusses the influence of model parameters on the best decision option.