In standard queues, when there are waiting customers, service completions are followed by service commencements. In retrial queues, this is not the case. In such systems, customers try to receive service at a time of their choosing, or the server seeks the next customer for a non-negligible time. In this note, we consider a hybrid model with both a finite standard queue and an orbit. While in the orbit, customers try to join the standard queue in their own time. We assume that the retrial rate is a decision variable, and study both the Nash equilibrium and the socially optimal retrial rates, under a cost model that considers both waiting costs and retrial costs.

中文翻译：

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具有重试的混合 M/M/1 队列中的策略行为和优化

在标准队列中，当有等待的顾客时，服务完成之后是服务开始。在重审队列中，情况并非如此。在这样的系统中，客户尝试在他们选择的时间接受服务，或者服务器在不可忽略的时间内寻找下一个客户。在本说明中，我们考虑具有有限标准队列和轨道的混合模型。在轨道上，客户尝试在自己的时间加入标准队列。我们假设重审率是一个决策变量，并在考虑等待成本和重审成本的成本模型下研究纳什均衡和社会最优重审率。