The two-queue E=1-L polling model with regularly varying service and/or switchover times

We consider the cyclic polling system with two queues. One queue is served according to the exhaustive discipline, and the other queue is served according to the 1-limited discipline. At least one of the service and/or switchover times has a regularly varying tail. We obtain the tail behavior of the waiting time distributions. When one of the service and/or switchover times has an infinite second moment, we derive the heavy-trac behavior of the waiting time distribution at the 1-limited queue.