We consider a queueing system of the M/M/1 type with repeated claims in the case where the service rate depends on the loading of the system, i.e., on the number of claims in the queue waiting for service. We establish the existence conditions and the formulas for the ergodic distribution of the number of claims in the system with bounded and unbounded queues of repeated claims.

中文翻译：

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M/M/1 可变服务率重审排队系统

我们考虑 M/M/1 类型的排队系统，在这种情况下，服务率取决于系统的负载，即等待服务的队列中的索赔数量。我们建立了具有有界和无界重复索赔队列的系统中索赔数量的遍历分布的存在条件和公式。