Most of the past cloud manufacturing (CMfg) studies investigated the short-term production planning or job scheduling of a CMfg system, while the mid-term or long-term capacity and production planning of a CMfg system has rarely been addressed. In addition, most existing methods are suitable for CMfg systems comprising three-dimensional (3D) printers, computer numerical control (CNC) machines or robots, but ignore the coordination and transportation required for moving jobs across factories. To fill these gaps, a fuzzy mid-term capacity and production planning model for a manufacturer with cloud-based capacity is proposed in this study. The proposed methodology guides a manufacturer in choosing between non-cloud-based capacity and cloud-based capacity. It can be applied to factories utilizing machines with different degrees of automation including highly automatic equipment (such as 3D printers, CNC machines, and robots) and lowly automatic (legacy) machines, while existing methods assume that orders can be easily transferred between machines that are often highly automatic. In the proposed methodology, first, various types of capacity are unequally prioritized. Then, a fuzzy mixed-integer nonlinear programming model is formulated and optimized to make the mid-term or long-term capacity and production plan of a factory. The fuzzy capacity and production planning model is designed for factories with parallel machines. The proposed methodology has been applied to a case to illustrate its applicability. According to the experimental results, the proposed methodology successfully reduced total costs by up to 8%. The advantage of the proposed methodology over existing practices in fulfilling customers’ demand was also obvious.

过去的大多数云制造（CMfg）研究都调查了CMfg系统的短期生产计划或作业计划，而CMfg系统的中期或长期产能和生产计划却很少得到解决。另外，大多数现有方法适用于包括三维（3D）打印机，计算机数控（CNC）机器或机器人的CMfg系统，但忽略了在工厂间移动工作所需的协调和运输。为了填补这些空白，本研究针对具有云能力的制造商提出了模糊的中期能力和生产计划模型。拟议的方法指导制造商在基于非云的容量和基于云的容量之间进行选择。它可以应用于使用自动化程度不同的机器的工厂，包括高度自动化的设备（例如3D打印机，CNC机器和机器人）和自动化程度较低的（旧版）机器，而现有方法假定可以在机器之间轻松转移订单通常是高度自动化的。在所提出的方法中，首先，不平等地对各种类型的容量进行了优先排序。然后，建立并优化了模糊混合整数非线性规划模型，以制定工厂的中长期产能和生产计划。模糊能力和生产计划模型是为具有并行机的工厂设计的。拟议的方法已应用于案例以说明其适用性。根据实验结果，所提出的方法成功地将总成本降低了8％。与满足客户需求的现有方法相比，所提出的方法的优势也很明显。