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 …

Mathematical methods to study the polling systems

VM Vishnevskii, OV Semenova - Automation and Remote Control, 2006 - Springer
Reviewed were the mathematical methods that are used to investigate the polling systems
which found wide application in modeling and design of various transport and industrial …

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 …

Applications of Markov decision processes in communication networks

E Altman - Handbook of Markov Decision Processes: Methods …, 2002 - Springer
We present in this chapter a survey on applications of MDPs to communication networks. We
survey both the different application areas in communication networks as well as the …

Stability, monotonicity and invariant quantities in general polling systems

E Altman, P Konstantopoulos, Z Liu - Queueing Systems, 1992 - Springer
Consider a polling system with K≥ 1 queues and a single server that visits the queues in a
cyclic order. The polling discipline in each queue is of general gated-type or exhaustive …

[LIVRE][B] Polling systems

SC Borst - 1996 - research.tue.nl
This monograph is devoted to the mathematical analysis of polling systems. Over the years,
polling systems have found a wide range of applications in the performance evaluation of …

Analysis and control of polling systems

U Yechiali - IFIP International Symposium on Computer …, 1993 - Springer
We present methods for analyzing continuous-time multi-channel queueing systems with
Gated, Exhaustive, or Globally-Gated service regimes, and with Cyclic, Hamiltonian or …

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 …

Computing distributions and moments in polling models by numerical transform inversion

GL Choudhury, W Whitt - Performance Evaluation, 1996 - Elsevier
We show that probability distributions and moments of performance measures in many
polling models can be effectively computed by numerically inverting transforms (generating …

Towards a unifying theory on branching-type polling systems in heavy traffic

RD van der Mei - Queueing Systems, 2007 - Springer
For a broad class of polling models the evolution of the system at specific embedded polling
instants is known to constitute a multi-type branching process (MTBP) with immigration. In …