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 …

After having worked in the domain of Gaussian queues for about a decade, we got the idea
to look at similar problems, but now in the context of Lévy-driven queues. That step felt as …

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 …

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 …

For a single-server multi-station polling system, we focus on the generating function and
Laplace–Stieltjes transform of the time-stationary joint queue length and workload …

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 …

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 …

In this paper we consider a single-server, cyclic polling system with switch-over times and
Poisson arrivals. The service disciplines that are discussed, are exhaustive and gated …

In this paper, we analyze a two-queue random time-limited Markov-modulated polling
model. In the first part of the paper, we investigate the fluid version: fluid arrives at the two …

In this paper we generalize known workload decomposition results for Lévy queues with
secondary jump inputs and queues with server vacations or service interruptions. Special …