一类批处理排队网络在批FIFO排队原则下稳定性

在标准排队网络稳定性研究的基础上，定义了批FIFO排队原则，通过引进批长度随机变量，将批处理排队网络模型转化为对应标准排队网络模型，证明了这两个网络模型具有相同的流体模型；在批FIFO排队原则下，给出了这个批处理排队网络稳定的一个充分条件.

Stability of batch processing networks under batch FIFO service disciplines

Based on the stability of the standard queuing network, a batch FIFO service discipline is defined. By bringing in a random vector of the size of batch, the authors tune the batch processing queuing network model into the corresponding standard queuing network model, demonstrating that the two queuing network models have the same fluid model. Furthermore, they have obtained a sufficient condition of the rate stability of the batch processing queuing network under the batch FIFO service disciplines.