On the Waiting Time in the GI / M / 1 Vacations Queues with Dependency Between Interarrival and Service Times

@inproceedings{Iyer2006OnTW,
  title={On the Waiting Time in the GI / M / 1 Vacations Queues with Dependency Between Interarrival and Service Times},
  author={Srikanth K. Iyer and Karabi Sikdar},
  year={2006}
}
We derive the waiting time distribution in a GI/M/1 queueing system with dependence between the service time of each customer and the subsequent interarrival times. In addition, the server takes exponentially distributed vacations when there are no customers left to serve in the queue.