12 citations · 19 across the 2 of their papers we have counts for
2 papers
math.PR2008★ 7 cited
Polling systems with parameter regeneration, the general case
Iain MacPhee, Mikhail Menshikov, Dimitri Petritis +1
We consider a polling model with multiple stations, each with Poisson arrivals and a queue of infinite capacity. The service regime is exhaustive and there is Jacksonian feedback o…
math.PR2007★ 12 cited
A MARKOV chain model of a polling system with parameter regeneration
Iain MacPhee, Mikhail Menshikov, Dimitri Petritis +1
We study a model of a polling system, that is, a collection of queues with a single server that switches from queue to queue. The service time distribution and arrival rates ch…