We identify some conditions under which regenerative processes with a certain dependence structure among them are asymptotically independent. The result is applied to various models, in particular independent Lévy processes with dependent secondary jumps at the origin (for example, workloads of parallel M/G/1 queues with server vacations), the asymptotic performance of systems with multiple correlated sources that generate real-time status updates measured by the limiting probability of an updated system, and asymptotic results for clearing processes with dependent arrivals of clearings. Finally, the asymptotic distribution of the classic Jackson network is discussed as yet another example.

中文翻译：

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具有特殊依赖结构的再生过程的渐近独立性

我们确定了一些条件，在这些条件下，其中具有一定依赖性结构的再生过程是渐近独立的。结果适用于各种模型，特别是在原点具有相关二级跳转的独立 Lévy 过程（例如，具有服务器假期的并行 M/G/1 队列的工作负载），具有多个相关源的系统的渐近性能，生成真实的- 通过更新系统的极限概率测量的时间状态更新，以及具有相关清算到达的清算过程的渐近结果。最后，经典 Jackson 网络的渐近分布作为另一个例子进行讨论。