Conveyor systems involving multiple materials are commonly found in automated warehouse systems. The materials compete for the handling capability of the system and require complex operations where merging and splitting occur. It is difficult to analyze the handling capability competition between multiple materials and calculate the throughput of each type of material. Previous studies relied on the state description of one or two machines to analyze their performance in the case of multiple materials. Their solution complexity increases significantly as the number of machines and types of materials increase. This approach is inapplicable to conveyor systems involving multiple machines and materials. Therefore, this study proposes a throughput analysis algorithm based on capability decomposition for a conveyor system involving multiple materials. In the proposed algorithm, a conveyor system is first decomposed into sub-conveyor systems. Subsequently, the proposed capability decomposition method is applied to approximate the capabilities of conveyors and working machines in sub-conveyor systems to those shared by the multiple materials in the original conveyor system. The capability decomposition method does not rely on the state description of the original conveyor system. Finally, the throughputs of the multiple materials are obtained by calculating the throughputs of the sub-conveyor systems. Numerical examples demonstrate the efficacy of the proposed algorithm. The results show that it can achieve throughput analysis with an accuracy of $\ge$ 90% when system blocking probability is in the applied range.

涉及多种材料的输送系统在自动化仓库系统中很常见。材料会争夺系统的处理能力，并且需要在发生合并和拆分的情况下进行复杂的操作。分析多种物料之间的处理能力竞争并计算每种物料的吞吐量是困难的。以前的研究依靠一两台机器的状态描述来分析它们在多种材料情况下的性能。随着机器数量和材料类型的增加，他们的解决方案复杂性显着增加。这种方法不适用于涉及多个机器和材料的输送系统。因此，本研究针对涉及多种材料的输送系统提出了一种基于能力分解的吞吐量分析算法。在所提出的算法中，输送机系统首先被分解为子输送机系统。随后，将所提出的能力分解方法应用于将子输送机系统中的输送机和工作机器的能力近似为原始输送机系统中多种材料共享的能力。能力分解方法不依赖于原始输送系统的状态描述。最后，通过计算子输送系统的吞吐量，得到多种物料的吞吐量。数值例子证明了所提出算法的有效性。结果表明，它可以实现吞吐量分析的准确度为 所提出的能力分解方法用于将子输送系统中的输送机和工作机器的能力近似为原始输送系统中多种材料共享的能力。能力分解方法不依赖于原始输送系统的状态描述。最后，通过计算子输送系统的吞吐量，得到多种物料的吞吐量。数值例子证明了所提出算法的有效性。结果表明，它可以实现吞吐量分析的准确度为 所提出的能力分解方法用于将子输送系统中的输送机和工作机器的能力近似为原始输送系统中多种材料共享的能力。能力分解方法不依赖于原始输送系统的状态描述。最后，通过计算子输送系统的吞吐量，得到多种物料的吞吐量。数值例子证明了所提出算法的有效性。结果表明，它可以实现吞吐量分析的准确度为 能力分解方法不依赖于原始输送系统的状态描述。最后，通过计算子输送系统的吞吐量，得到多种物料的吞吐量。数值例子证明了所提出算法的有效性。结果表明，它可以实现吞吐量分析的准确度为 能力分解方法不依赖于原始输送系统的状态描述。最后，通过计算子输送系统的吞吐量，得到多种物料的吞吐量。数值例子证明了所提出算法的有效性。结果表明，它可以实现吞吐量分析的准确度为$\ge$ 当系统阻塞概率在应用范围内时为 90%。