Bulk-service multi-server queues with heterogeneous server capacity and thresholds are commonly seen in several situations such as passenger transport or package delivery services. In this paper, we develop a novel decomposition-based solution approach for such queues using arguments from renewal theory. We then obtain the distribution of the waiting time measure for multi-type server systems. We also obtain other useful performance measures such as utilization, expected throughput time, and expected queue lengths.

中文翻译：

---

具有异构服务器的批量服务系统

具有异构服务器容量和阈值的批量服务多服务器队列常见于几种情况，例如客运或包裹递送服务。在本文中，我们使用更新理论的论据为此类队列开发了一种新的基于分解的解决方案。然后我们获得了多类型服务器系统的等待时间度量的分布。我们还获得了其他有用的性能指标，例如利用率、预期吞吐量时间和预期队列长度。