In this article, a special case of two coupled M/G/1-queues is considered, where two servers are exposed to two types of jobs that are distributed among the servers via a random switch. In this model, the asymptotic behavior 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 coupled M/G/1-queues for which the asymptotic behavior of different ruin probabilities is determined.

中文翻译：

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$$ 2〜{\ times}〜2 $$ 2×2随机切换模型及其双重风险模型

在本文中，考虑了两个耦合的M / G / 1队列的特殊情况，其中两个服务器暴露于两种类型的作业，这些作业是通过随机开关分布在服务器之间的。在此模型中，确定了两个单个服务器/两个服务器在一起/一个（未指定）服务器的工作负载缓冲区超出概率的渐近行为。因此，必须区分是重尾作业还是轻尾作业。结果是通过研究的M / G / 1排队的双重风险模型得出的，该模型确定了不同破产概率的渐近行为。