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20142022
most citedApplications of polling systems

137 citations · 288 across the 34 of their papers we have counts for

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25 papers · 1 filter

math.PR2022

Heavy-traffic single-server queues and the transform method

M. A. A. Boon, A. J. E. M. Janssen, J. S. H. van Leeuwaarden

Heavy-traffic limit theory deals with queues that operate close to criticality and face severe queueing times. Let denote the steady-state waiting time in the ${\rm GI}/{\rm G}…

math.PR2021★ 1 cited

The Fixed-Cycle Traffic-Light queue with multiple lanes and temporary blockages

Rik W. Timmerman, Marko A. A. Boon

Traffic-light modelling is a complex task, because many factors have to be taken into account. In particular, capturing all traffic flows in one model can significantly complicate…

math.PR2021★ 1 cited

Dynamic Appointment Scheduling

Roshan Mahes, Michel Mandjes, Marko Boon +1

This paper considers appointment scheduling in a setting in which at every client arrival the schedule of all future clients can be adapted. Starting our analysis with an explicit…

math.PR2018

Applications of the queue to road traffic

Abhishek, Marko Boon, Rudesindo Núñez-Queija

The single server queue with multiple customer types and semi-Markovian service times, sometimes referred to as the queue, has been well-studied since its introduction by…

math.PR2018

Heavy-traffic analysis of the queue

Abhishek, Rudesindo Núñez Queija, Marko Boon

In this paper we analyze a single server queue with batch arrivals and semi-Markovian service times. We also include the feature that the first service of each busy period might ha…

math.PR2018★ 1 cited

Generalized gap acceptance models for unsignalized intersections

Abhishek, Marko Boon, Michel Mandjes

This paper contributes to the modeling and analysis of unsignalized intersections. In classical gap acceptance models vehicles on the minor road accept any gap greater than the CRI…