89 citations · 89 across the 3 of their papers we have counts for
4 papers
The M/M/1 queue is Bernoulli
Michael Keane, Neil O'Connell
The classical output theorem for the M/M/1 queue, due to Burke (1956), states that the departure process from a stationary M/M/1 queue, in equilibrium, has the same law as the arri…
Interlaced processes on the circle
Anthony P. Metcalfe, Neil O'Connell, Jon Warren
When two Markov operators commute, it suggests that we can couple two copies of one of the corresponding processes. We explicitly construct a number of couplings of this type for a…
Queues, stores, and tableaux
Moez Draief, Jean Mairesse, Neil O'Connell
Consider the single server queue with an infinite buffer and a FIFO discipline, either of type M/M/1 or Geom/Geom/1. Denote by A the arrival process and by s the services. Assume t…
Littelmann paths and brownian paths
Philippe Biane, Philippe Bougerol, Neil O'Connell
We study some path transformations related to Littelmann path model and their applications to representation theory and Brownian motion in a Weyl chamber.