3 citations · 3 across the 5 of their papers we have counts for
5 papers
Non-Stationary Queues with Batch Arrivals
Andrew Daw, Brian Fralix, Jamol Pender
Motivated by applications that involve setting proper staffing levels for multi-server queueing systems with batch arrivals, we present a thorough study of the queue-length process…
Time-dependent analysis of an preemptive priority system with two priority classes
Jori Selen, Brian Fralix
We analyze the time-dependent behavior of an priority queue having two customer classes, class-dependent service rates, and preemptive priority between classes. More partic…
Clearing Analysis on Phases: Exact Limiting Probabilities for Skip-free, Unidirectional, Quasi-birth-death Processes
Sherwin Doroudi, Brian Fralix, Mor Harchol-Balter
Many problems in computing, service, and manufacturing systems can be modeled via infinite repeating Markov chains with an infinite number of levels and a finite number of phases.…
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 queueing system in the Halfin-Whitt regime, where both the number of servers and the arrival rate grow large (ta…
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…