In this paper, we analyse a single server polling model with two queues.Customers arrive at the two queues according to two independent Poissonprocesses. There is a single server that serves both queues with generallydistributed service times. The server spends an exponentially distributedamount of time in each queue. After the completion of this residing time, theserver instantaneously switches to the other queue, i.e., there is noswitch-over time. For this polling model we derive the steady-state marginalworkload distribution, as well as heavy traffic and heavy tail asymptoticresults. Furthermore, we also calculate the joint queue length distribution forthe special case of exponentially distributed service times using singularperturbation analysis.
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