Research Article
A Two-Queue Polling Model with Two Priority Levels in the First Queue
@INPROCEEDINGS{10.4108/ICST.VALUETOOLS2008.4347, author={Marko Boon and Ivo Adan and Onno Boxma}, title={A Two-Queue Polling Model with Two Priority Levels in the First Queue}, proceedings={3rd International ICST Conference on Performance Evaluation Methodologies and Tools}, publisher={ICST}, proceedings_a={VALUETOOLS}, year={2010}, month={5}, keywords={Polling priority levels queue lengths waiting times}, doi={10.4108/ICST.VALUETOOLS2008.4347} }- Marko Boon
Ivo Adan
Onno Boxma
Year: 2010
A Two-Queue Polling Model with Two Priority Levels in the First Queue
VALUETOOLS
ICST
DOI: 10.4108/ICST.VALUETOOLS2008.4347
Abstract
In this paper we consider a single-server cyclic polling system consisting of two queues. Between visits to successive queues, the server is delayed by a random switch-over time. Two types of customers arrive at the first queue: high and low priority customers. For this situation the following service disciplines are considered: gated, globally gated, and exhaustive. We study the cycle time distribution, the waiting times for each customer type, the joint queue length distribution at polling epochs, and the steady-state marginal queue length distributions for each customer type.
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