Brian H. Fralix

collaborators

2 papers

math.PR2013

First passage times to congested states of many-server systems in the Halfin-Whitt regime

Brian H. Fralix, Charles Knessl, Johan S. H. van Leeuwaarden

We consider the heavy-traffic approximation to the $G I / M / s$ queueing system in the Halfin-Whitt regime, where both the number of servers $s$ and the arrival rate $λ$ grow large (ta…

math.PR2013

Factorization identities for reflected processes, with applications

Brian H. Fralix, Johan S. H. van Leeuwaarden, Onno J. Boxma

We derive factorization identities for a class of preemptive-resume queueing systems, with batch arrivals and catastrophes that, whenever they occur, eliminate multiple customers p…