研究了需求不确定条件下生产设备的维修计划与生产决策的联合优化问题。首先建立了k-out-of-n系统设备状态的多周期纯生过程模型,然后在产品需求随机、产品合格率随设备状态劣化而衰减的情况下,分析了企业的维修成本、启动成本、库存或缺货成本、生产成本、质量成本,得到了企业单位时间成本最低的决策模型,并给出了较为详细的求解方法,最后通过算例验证了本模型的鲁棒性和精度,分析了设备劣化强度与合格品率的衰减率对模型结果的影响。研究结果表明,本模型能够使制造商以较低的单位时间成本满足市场随机需求且鲁棒性良好,此外设备的劣化强度及合格品率的衰减率都会显著影响企业生产维修与生产决策,尤其是合格品率的衰减率,它会造成企业的生产浪费,大大提高了企业运行成本,因此企业应该以适当频率对设备进行更新换代。 The joint optimization problem of maintenance plan and production decision of production equipment under the condition of demand uncertainty is studied. Firstly, a multi-cycle pure process model of equipment status of k-out-of-n system was established. Then, under the circumstance of product demand randomization and product qualification rate declining with the deterioration of equipment status, the repair cost, start-up cost, Inventory and out-of-stock costs, production costs and quality costs, the decision-making model with the lowest unit time cost is obtained and a more detailed solution method is given. Finally, an example is given to verify the robustness and accuracy of this model. Effect of Equipment Degradation Strength and Decay Rate of Qualified Products on Model Results. The results show that this model can make the manufacturer meet the market random demand with low cost per unit and has good robustness. In addition, the equipment degradation strength and the rate of decline of the qualified products will significantly affect the enterprise production and maintenance and production decisions, especially Is the rate of decline in the rate of qualified products, it will result in waste of production and greatly increase the operating costs of enterprises, so enterprises should be the appropriate frequency of equipment replacement.