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 …

Equilibrium in a queueing system with retrials

J Chirkova, V Mazalov, E Morozov - Mathematics, 2022 - mdpi.com
We find an equilibrium in a single-server queueing system with retrials and strategic timing
of the customers. We consider a set of customers, each of which must decide when to arrive …

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 …

Polling models: from theory to traffic intersections

MAA Boon - 2011 - research.tue.nl
The subject of the present monograph is the study of polling models, which are queueing
models consisting of multiple queues, cyclically attended by one server. Polling models …

A polling model with smart customers

MAA Boon, ACC Van Wijk, IJBF Adan, OJ Boxma - Queueing Systems, 2010 - Springer
In this paper we consider a single-server, cyclic polling system with switch-over times. A
distinguishing feature of the model is that the rates of the Poisson arrival processes at the …

On a 2-class polling model with reneging and -limited service

K Granville, S Drekic - Annals of Operations Research, 2019 - Springer
This paper analyzes a 2-class, single-server polling model operating under a k_i ki-limited
service discipline with class-dependent switchover times. Arrivals to each class are …

On the strong stability of ergodic iterations

L Györfi, A Lovas, M Rásonyi - arXiv preprint arXiv:2304.04657, 2023 - arxiv.org
We revisit processes generated by iterated random functions driven by a stationary and
ergodic sequence. Such a process is called strongly stable if a random initialization exists …

Pooling and polling: creation of pooling in inventory and queueing models

ACC Van Wijk - 2012 - research.tue.nl
The subject of the present monograph is the 'Creation of Pooling in Inventory and Queueing
Models'. This research consists of the study of sharing a scarce resource (such as inventory …

[HTML][HTML] Обзор моделей систем поллинга и их применение в телекоммуникационных сетях

ВМ Вишневский, ОВ Семенова - Проблемы информатики, 2020 - cyberleninka.ru
В статье представлен обзор работ по исследованию стохастических систем поллинга,
опубликованных в период 2007-2019 гг. Приведена классификация дискретных и …

Asymptotic Behavior of Multitype Nearly Critical Galton--Watson Processes with Immigration

L Györfi, M Ispány, P Kevei, G Pap - Theory of Probability & Its Applications, 2015 - SIAM
Multitype inhomogeneous Galton--Watson processes with immigration are investigated,
where the offspring mean matrix slowly converges to a critical mean matrix. Under general …