This paper deals with a batch arrivals queue with general retrial time, breakdowns, repairs and reserved time. Here we assume that customers arrive according to compound Poisson processes. Any arriving batch of primary customers finds the server free, one of the customers from the batch enters into the service area and the rest of them join into the orbit. The primary customers who find the server busy or failed are allowed to balk or are queued in the orbit in accordance with FCFS retrial policy. The customer whose service is interrupted can stay at the server waiting for repair or enter into service orbit. After the repair is completed, the server resumes service immediately if the customer in service has remained in the service position. This model has a potential applications in various fields, such as in the cognitive radio network and the manufacturing systems. By using supplementary variables technique, we carry out an extensive analysis of the considered model. Then, we obtain some important performance measures, stochastic decomposition property of the system size distribution and the reliability indices. Next, by setting the appropriate parameters, some special cases are discussed. Finally, some numerical examples and cost analysis are presented.

本文介绍了具有一般重试时间，故障，维修和保留时间的批量到达队列。在这里，我们假设客户是根据复合泊松过程到达的。任何到达的主要客户批次都可以免费获得服务器，该批次中的一个客户进入服务区域，其余客户进入轨道。根据FCFS重试策略，发现服务器繁忙或发生故障的主要客户可以在该行中避开或排队。服务中断的客户可以待在服务器上等待维修或进入服务轨道。维修完成后，如果服务中的客户仍留在服务位置，则服务器会立即恢复服务。该模型在各个领域都有潜在的应用，例如在认知无线电网络和制造系统中。通过使用补充变量技术，我们对所考虑的模型进行了广泛的分析。然后，我们获得了一些重要的性能指标，系统规模分布的随机分解特性和可靠性指标。接下来，通过设置适当的参数，讨论一些特殊情况。最后，给出了一些数值算例和成本分析。