activity
20182020
most citedA single server queue with batch arrivals and semi-Markov services

2 citations · 4 across the 2 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

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

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…

math.OC2018

Congestion analysis of unsignalized intersections

Abhishek, Marko Boon, Michel Mandjes +1

This paper considers an unsignalized intersection used by two traffic streams. A stream of cars is using a primary road, and has priority over the other, low-priority, stream. Cars…

math.OC2018

Congestion analysis of unsignalized intersections: The impact of impatience and Markov platooning

Abhishek, Marko Boon, Michel Mandjes +1

This paper considers an unsignalized intersection used by two traffic streams. A stream of cars is using a primary road, and has priority over the other stream. Cars belonging to t…

math.PR20182 cited

A single server queue with batch arrivals and semi-Markov services

Abhishek, Marko Boon, Onno Boxma +1

We investigate the transient and stationary queue-length distributions of a class of service systems with correlated service times. The classical queue with semi-Markov s…