13 citations · 25 across the 8 of their papers we have counts for
10 papers
Conditional Uniformity and Hawkes Processes
Andrew Daw
Classic results show that the Hawkes self-exciting point process can be viewed as a collection of temporal clusters, where exogenously generated initial events give rise to endogen…
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…
The Co-Production of Service: Modeling Services in Contact Centers Using Hawkes Processes
Andrew Daw, Antonio Castellanos, Galit B. Yom-Tov +2
In customer support contact centers, every service interaction involves a messaging dialogue between a customer and an agent; together, they exchange information, solve problems, a…
Analyzing the Spotify Top 200 Through a Point Process Lens
Michelangelo Harris, Brian Liu, Cean Park +6
Every generation throws a hero up the pop charts. For the current generation, one of the most relevant pop charts is the Spotify Top 200. Spotify is the world's largest music strea…
Matrix Calculations for Moments of Markov Processes
Andrew Daw, Jamol Pender
Matryoshka dolls, the traditional Russian nesting figurines, are known world-wide for each doll's encapsulation of a sequence of smaller dolls. In this paper, we identify a large c…
How to Staff When Customers Arrive in Batches
Andrew Daw, Robert C. Hampshire, Jamol Pender
In many different settings, requests for service can arrive in near or true simultaneity with one another. This creates batches of arrivals to the underlying queueing system. In th…
An Ephemerally Self-Exciting Point Process
Andrew Daw, Jamol Pender
Across a wide variety of applications, the self-exciting Hawkes process has been used to model phenomena in which the history of events influences future occurrences. However, ther…
On the Distributions of Infinite Server Queues with Batch Arrivals
Andrew Daw, Jamol Pender
Queues that feature multiple entities arriving simultaneously are among the oldest models in queueing theory, and are often referred to as "batch" (or, in some cases, "bulk") arriv…
New Perspectives on the Erlang-A Queue
Andrew Daw, Jamol Pender
The non-stationary Erlang-A queue is a fundamental queueing model that is used to describe the dynamic behavior of large scale multi-server service systems that may experience cust…
Queues Driven by Hawkes Processes
Andrew Daw, Jamol Pender
Many stochastic systems have arrival processes that exhibit clustering behavior. In these systems, arriving entities influence additional arrivals to occur through self-excitation…