Joint production system control is a challenge for researchers and a daily defy for managers and practitioners. The large concern comes from the interdependence between the system states and the control actions. Several analytical models have addressed these issues but remain inefficient because they are based on many simplifying assumptions for mathematical tractability (mainly concerning the system degradation mode). This is critical because degradation modeling impacts the overall manufacturing system and leads to an over or an under estimation of its performance. In this paper, we propose an efficient stochastic analytical model of integrated production and preventive maintenance control for manufacturing systems subject to operation-dependent degradations of both reliability and quality. A make-to-stock production strategy and an age-based preventive maintenance policy are employed to cope with uncertainty. The main objective is to jointly optimize the production and maintenance control settings by minimizing the total incurred cost. A simulation model is also developed to validate the mathematical model. Numerical examples and a detailed sensitivity analysis are provided to assess the quality of our model and to derive relevant insight and issues regarding the interaction between production, maintenance, and quality.

联合生产系统的控制对研究人员来说是一个挑战，对管理人员和从业人员来说是日常的挑战。人们最关心的是系统状态和控制动作之间的相互依赖性。几种分析模型已经解决了这些问题，但由于它们基于许多简化的数学可预测性假设（主要涉及系统降级模式），因此仍然效率低下。这是至关重要的，因为降级建模会影响整个制造系统，并导致对其性能的高估或低估。在本文中，我们提出了一种针对生产系统的集成生产和预防性维护控制的有效随机分析模型，该模型受可靠性和质量的依赖于操作的退化影响。采用按库存生产策略和基于年龄的预防性维护策略来应对不确定性。主要目标是通过最大程度地减少总成本来共同优化生产和维护控制设置。还开发了一个仿真模型来验证数学模型。提供了数值示例和详细的灵敏度分析，以评估我们模型的质量，并得出有关生产，维护和质量之间相互作用的相关见解和问题。