Applications of polling systems

MAA Boon, RD van der Mei, EMM Winands - Surveys in operations …, 2011 - Elsevier
Since the first paper on polling systems, written by Mack in 1957, a huge number of papers
on this topic has been written. A typical polling system consists of a number of queues …

Polling: past, present, and perspective

S Borst, O Boxma - Top, 2018 - Springer
This is a survey on polling systems, focussing on the basic single-server multi-queue polling
system in which the server visits the queues in cyclic order. The main goals of the paper …

Polling systems and their application to telecommunication networks

V Vishnevsky, O Semenova - Mathematics, 2021 - mdpi.com
The paper presents a review of papers on stochastic polling systems published in 2007–
2020. Due to the applicability of stochastic polling models, the researchers face new and …

Analysis of tandem polling queues with finite buffers

R Suman, A Krishnamurthy - Annals of Operations Research, 2020 - Springer
We analyze a tandem polling queue with two stations operating under three different polling
strategies, namely:(1) Independent polling,(2) Synchronous polling, and (3) Out-of-sync …

Sojourn times in polling systems with various service disciplines

O Boxma, J Bruin, B Fralix - Performance Evaluation, 2009 - Elsevier
We consider a polling system of N queues Q1,…, QN, cyclically visited by a single server.
Customers arrive at these queues according to independent Poisson processes, requiring …

A polling model with multiple priority levels

MAA Boon, IJBF Adan, OJ Boxma - Performance Evaluation, 2010 - Elsevier
In this paper we consider a single-server cyclic polling system. Between visits to successive
queues, the server is delayed by a random switch-over time. The order in which customers …

Long time behaviour for Markovian branching-immigration systems

J Li, L Cheng, L Li - Discrete Event Dynamic Systems, 2021 - Springer
Let X (t); t≥ 0 be a continuous-time branching-immigration system with branching rates bk;
k≥ 0, k≠ 1 and immigration rates ak; k≥ 1. We assume that b 0= 0, m=:∑ k= 1∞ kbk<∞ …

Delays at signalized intersections with exhaustive traffic control

MAA Boon, IJBF Adan, EMM Winands… - Probability in the …, 2012 - cambridge.org
In this paper, we study a traffic intersection with vehicle-actuated traffic signal control. Traffic
lights stay green until all lanes within a group are emptied. Assuming general renewal …

Stability of a two-queue cyclic polling system with BMAPs under gated service and state-dependent time-limited service disciplines

J Cao, W Xie - Queueing Systems, 2017 - Springer
The stability of a cyclic polling system, with a single server and two infinite-buffer queues, is
considered. Customers arrive at the two queues according to independent batch Markovian …

The impact of scheduling policies on the waiting-time distributions in polling systems

R Bekker, P Vis, JL Dorsman, RD van der Mei… - Queueing Systems, 2015 - Springer
We consider polling models consisting of a single server that visits the queues in a cyclic
order. In the vast majority of papers that have appeared on polling models, it is assumed that …