11 citations · 36 across the 22 of their papers we have counts for
22 papers
Transient analysis of the Erlang A model
Charles Knessl, Johan S. H. van Leeuwaarden
We consider the Erlang A model, or queue, with Poisson arrivals, exponential service times, and parallel servers, and the property that waiting customers abandon the…
Some Asymptotic Results for the Transient Distribution of the Halfin-Whitt Diffusion Process
Qiang Zhen, Charles Knessl
We consider the Halfin-Whitt diffusion process , which is used, for example, as an approximation to the -server queue. We use recently obtained integral represen…
Asymptotic Analysis of Spectral Properties of Finite Capacity Processor Shared Queues
Qiang Zhen, Charles Knessl
We consider sojourn (or response) times in processor-shared queues that have a finite customer capacity. Computing the response time of a tagged customer involves solving a finite…
On Spectral Properties of Finite Population Processor Shared Queues
Qiang Zhen, Charles Knessl
We consider sojourn or response times in processor-shared queues that have a finite population of potential users. Computing the response time of a tagged customer involves solving…
On the Sojourn Time Distribution in a Finite Population Markovian Processor Sharing Queue
Qiang Zhen, Johan S. H. van Leeuwaarden, Charles Knessl
We consider a finite population processor-sharing (PS) queue, with Markovian arrivals and an exponential server. Such a queue can model an interactive computer system consisting of…
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…