11 citations · 35 across the 10 of their papers we have counts for
10 papers
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…
An Explicit Solution to the Chessboard Pebbling Problem
Qiang Zhen, Charles Knessl
We consider the chessboard pebbling problem analyzed by Chung, Graham, Morrison and Odlyzko [3]. We study the number of reachable configurations and a related double sequenc…
Asymptotic Expansions for the Conditional Sojourn Time Distribution in the -PS Queue
Qiang Zhen, Charles Knessl
We consider the queue with processor sharing. We study the conditional sojourn time distribution, conditioned on the customer's service requirement, in various asymptotic l…
On Sojourn Times in the Finite Capacity Queue with Processor Sharing
Qiang Zhen, Charles Knessl
We consider a processor shared queue that can accommodate at most a finite number of customers. We give an exact expression for the sojourn time distribution in the fin…
On a Processor Sharing Queue That Models Balking
Qiang Zhen, Johan S. H. van Leeuwaarden, Charles Knessl
We consider the processor sharing -PS queue which also models balking. A customer that arrives and sees others in the system "balks" (i.e., decides not to enter) with pr…
On Sojourn Times in the -PS Model, Conditioned on the Number of Other Users
Qiang Zhen, Charles Knessl
We consider the -PS queue with processor sharing. We study the conditional sojourn time distribution of an arriving customer, conditioned on the number of other customers pr…
Asymptotic Expansions for the Sojourn Time Distribution in the -PS Queue
Qiang Zhen, Charles Knessl
We consider the queue with a processor sharing server. We study the conditional sojourn time distribution, conditioned on the customer's service requirement, as well as the…