论文标题
2 $ \ times $ 2随机切换模型及其双重风险模型
A 2$\times$2 random switching model and its dual risk model
论文作者
论文摘要
在本文中，考虑了m/g/2-quesue的一种特殊情况，其中两个服务器通过随机开关暴露于两种类型的作业中，这些作业分布在服务器之间。在此模型中，确定了两个单个服务器/两个服务器的工作负载缓冲区超出概率的渐近行为/一个（未指定）服务器。因此，必须区分重尾或轻尾的工作。结果是通过研究的M/g/2平衡的双重风险模型得出的，该模型确定了不同破坏概率的渐近行为。
In this article a special case of an M/G/2-queue is considered, where the two servers are exposed to two types of jobs that are distributed among the servers via a random switch. In this model the asymptotic behaviour of the workload buffer exceedance probabilities for the two single servers/ both servers together/ one (unspecified) server is determined. Hereby one has to distinguish between jobs that are either heavy-tailed or light-tailed. The results are derived via the dual risk model of the studied M/G/2-queue for which the asymptotic behaviour of different ruin probabilities is determined.
