A Two-Queue Polling Model with Two Priority Levels in the First Queue
Probability
2014-08-04 v1 Performance
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.
Keywords
Cite
@article{arxiv.1408.0110,
title = {A Two-Queue Polling Model with Two Priority Levels in the First Queue},
author = {Marko Boon and Ivo Adan and Onno Boxma},
journal= {arXiv preprint arXiv:1408.0110},
year = {2014}
}
Comments
A shorter version of this paper appeared in the proceedings of ValueTools 2008. The present paper is an extended version, selected for publication in JDEDS