3 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Two queues with random time-limited polling
Mayank Saxena, Onno Boxma, Stella Kapodistria +1
In this paper, we analyse a single server polling model with two queues. Customers arrive at the two queues according to two independent Poisson processes. There is a single server…
Waiting time asymptotics in the single server queue with service in random order
Onno Boxma, Sergey Foss, Jean-Marc Lasgouttes +1
We consider the single server queue with service in random order. For a large class of heavy-tailed service time distributions, we determine the asymptotic behavior of the waiting…