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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★ 2 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…