A unified approach is developed to solve functional equations defining generating functions.
Such equations are often constructed as a means to solve recurrence relations, such as …

Product return data, such as warranty claims, are usually subject to two layers of right
censoring. The first layer, called warranty censoring, applies to the product lifetime due to a …

We consider a model of priced resource sharing that combines both queueing behavior and
strategic behavior. We study a priority service model where a single server allocates its …

Motivated by cloud-based computing resources operating with relative priorities, we
investigate the strategic interaction between a fixed number of users sharing the capacity of …

Online service providers aim to satisfy the tail performance requirements of customers
through Service-Level Objectives (SLOs). One approach to ensure tail performance …

In this work, several convergence results are established for nearly critical self-excited
systems in which event arrivals are described by multivariate marked Hawkes point …

We consider a stochastic network with mobile users in a heavy traffic regime. We derive the
scaling limit of the multidimensional queue length process and prove a form of spatial state …

In this thesis we study multi-class queueing models. In general, queueing models provide a
natural means to describe the phenomenon of congestion, and find many applications in …

We study a multi-class time-sharing discipline with relative priorities known as
Discriminatory Processor Sharing (DPS), which provides a natural framework to model …

We study in this work the convergence of a sequence of asymptotically critical self-exciting
systems. In these systems, we use multivariate marked Hawkes point processes to describe …