Journal ArticleDOI
A note on polling models with renewal arrivals and nonzero switch-over times
R.D. van der Mei,Erik Winands +1 more
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This work derives closed-form expressions for the expected delay in heavy-traffic (HT) limits from gated polling systems with general service and switch-over times and with renewal arrival processes.About:
This article is published in Operations Research Letters.The article was published on 2008-07-01. It has received 20 citations till now. The article focuses on the topics: Renewal theory & Polling.read more
Citations
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Journal ArticleDOI
Applications of polling systems
TL;DR: Not only the capabilities, but also the limitations of polling models in representing various applications are discussed.
Journal ArticleDOI
Applications of polling systems
TL;DR: A survey of polling models can be found in this paper, where the authors discuss not only the capabilities, but also the limitations of the polling models in representing various applications, and present a survey directed at both academicians and practitioners.
Journal ArticleDOI
Closed-form waiting time approximations for polling systems
TL;DR: In this paper, the authors presented simple closed-form approximations for the mean waiting times in polling systems with renewal arrival processes, performing well for all workloads, using heavy traffic limits and newly developed light traffic limits, which may prove to be extremely useful for system design and optimisation in application areas as diverse as telecommunications, maintenance, manufacturing and transportation.
Journal ArticleDOI
Polling: past, present, and perspective
Sem Borst,Sem Borst,Onno Boxma +2 more
TL;DR: 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.
A new method for deriving waiting-time approximations in polling systems with renewal arrivals
TL;DR: A new method is proposed for deriving simple closed-form approximations for the complete waiting-time distributions that work well for arbitrary load values and are highly accurate over a wide range of parameter settings.
References
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Journal ArticleDOI
Polling systems and multitype branching processes
TL;DR: In this paper, the joint queue length process at polling instants of a fixed queue is shown to be a multitype branching process (MTBP) with immigration, and sufficient conditions for ergodicity and moment calculations are given.
Journal ArticleDOI
Workloads and waiting times in single-server systems with multiple customer classes
TL;DR: This paper is devoted to single-server multi-class service systems in which work conservation is violated in the sense that the server's activities may be interrupted although work is still present.
Workloads and waiting times in single-server systems with multiple customer classes
TL;DR: In this article, a decomposition of the amount of work in a single-server multi-class service system with interruptions is presented, where the server's activities may be interrupted although work is still present.
Book ChapterDOI
Analysis and Application of Polling Models
TL;DR: Let me begin this essay by quoting a few passages from a nontechnical article by Dr. Martin A. Leibowitz entitled “Queues” in an old issue of Scientific American that refer to a polling model.