Outputs (2)

Periodicity in the transient regime of exhaustive polling systems (2006)
Journal Article
MacPhee, I., Menshikov, M., Popov, S., & Volkov, S. (2006). Periodicity in the transient regime of exhaustive polling systems. Annals of Applied Probability, 16(4), 1816-1850. https://doi.org/10.1214/105051606000000376

We consider an exhaustive polling system with three nodes in its transient regime under a switching rule of generalized greedy type. We show that, for the system with Poisson arrivals and service times with finite second moment, the sequence of nodes... Read More about Periodicity in the transient regime of exhaustive polling systems.

Stability criteria for controlled queueing systems (2006)
Journal Article
MacPhee, I., & Müller, L. (2006). Stability criteria for controlled queueing systems. Queueing Systems, 52(3), 215-229. https://doi.org/10.1007/s11134-006-5555-x

We give an almost complete classification of ergodicity and transience conditions for a general multi-queue system with the following features: arrivals form Poisson streams and there are various routing schemes for allocating arrivals to queues; the... Read More about Stability criteria for controlled queueing systems.