A univariate Hawkes process is a simple point process that is self-exciting and has a
clustering effect. The intensity of this point process is given by the sum of a baseline intensity …

This paper introduces a deterministic fluid model that approximates the many-server G
t/GI/st+ GI queueing model, and determines the time-dependent performance functions. The …

The asymptotic many-server queue with abandonments, G/GI/N+ GI, is considered in the
quality-and efficiency-driven (QED) regime. Here the number of servers and the offered load …

In order to obtain Markov heavy-traffic approximations for infinite-server queues with general
non-exponential service-time distributions and general arrival processes, possibly with time …

A many-server heavy-traffic FCLT is proved for the G_t/M/s_t+GI queueing model, having
time-varying arrival rate and staffing, a general arrival process satisfying a FCLT …

We study non-Markovian stochastic epidemic models (SIS, SIR, SIRS, and SEIR), in which
the infectious (and latent/exposing, immune) periods have a general distribution. We provide …

This paper studies a queueing system in which customers with independent and identically
distributed service times arrive to a queue with many servers and enter service in the order …

We previously introduced and analyzed the G t/M t/st+ GI t many-server fluid queue with time-
varying parameters, intended as an approximation for the corresponding stochastic …

We consider the so-called GI/GI/N queue, in which a stream of jobs with independent and
identically distributed service times arrive as a renewal process to a common queue that is …

We study an infinite-server queue with a general arrival process and a large class of general
time-varying service time distributions. Specifically, customers' service times are …