A two-queue polling model with two priority levels in the first queue

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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.
Original languageEnglish
Pages (from-to)511-536
JournalDiscrete Event Dynamic Systems
Volume20
Issue number4
DOIs
Publication statusPublished - 2010

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