Economies-of-Scale in many-server queueing systems: tutorial and partial review of the QED halfin--whitt heavy-traffic regime
Multiserver queueing systems describe situations in which users require service from
multiple parallel servers. Examples include check-in lines at airports, waiting rooms in …
multiple parallel servers. Examples include check-in lines at airports, waiting rooms in …
Stein's method for steady-state diffusion approximations: an introduction through the Erlang-A and Erlang-C models
A Braverman, JG Dai, J Feng - Stochastic Systems, 2017 - pubsonline.informs.org
This paper provides an introduction to the Stein method framework in the context of steady-
state diffusion approximations. The framework consists of three components: the Poisson …
state diffusion approximations. The framework consists of three components: the Poisson …
A refined mean field approximation
N Gast, B Van Houdt - Proceedings of the ACM on Measurement and …, 2017 - dl.acm.org
Mean field models are a popular means to approximate large and complex stochastic
models that can be represented as N interacting objects. Recently it was shown that under …
models that can be represented as N interacting objects. Recently it was shown that under …
A two-time-scale approach to time-varying queues in hospital inpatient flow management
We analyze a time-varying M peri/Geo2timeScale/N queueing system. The arrival process is
periodic Poisson. The service time of a customer has components in different time scales …
periodic Poisson. The service time of a customer has components in different time scales …
On the approximation error of mean-field models
L Ying - ACM SIGMETRICS Performance Evaluation Review, 2016 - dl.acm.org
Mean-field models have been used to study large-scale and complex stochastic systems,
such as large-scale data centers and dense wireless networks, using simple deterministic …
such as large-scale data centers and dense wireless networks, using simple deterministic …
Mean field and refined mean field approximations for heterogeneous systems: It works!
S Allmeier, N Gast - Proceedings of the ACM on Measurement and …, 2022 - dl.acm.org
Mean field approximation is a powerful technique to study the performance of large
stochastic systems represented as n interacting objects. Applications include load balancing …
stochastic systems represented as n interacting objects. Applications include load balancing …
Multivariate approximations in Wasserstein distance by Stein's method and Bismut's formula
Stein's method has been widely used for probability approximations. However, in the multi-
dimensional setting, most of the results are for multivariate normal approximation or for test …
dimensional setting, most of the results are for multivariate normal approximation or for test …
Steady-state analysis of the join-the-shortest-queue model in the Halfin–Whitt regime
A Braverman - Mathematics of Operations Research, 2020 - pubsonline.informs.org
This paper studies the steady-state properties of the join-the-shortest-queue model in the
Halfin–Whitt regime. We focus on the process tracking the number of idle servers and the …
Halfin–Whitt regime. We focus on the process tracking the number of idle servers and the …
Stein's method for mean field approximations in light and heavy traffic regimes
L Ying - Proceedings of the ACM on Measurement and Analysis …, 2017 - dl.acm.org
Mean-field analysis is an analytical method for understanding large-scale stochastic
systems such as large-scale data centers and communication networks. The idea is to …
systems such as large-scale data centers and communication networks. The idea is to …
Improving the mean-field fluid model of processor sharing queueing networks for dynamic performance models in cloud computing
Resource management in cloud computing is a difficult problem, as one needs to balance
between adequate service to clients and cost minimization in a dynamic environment of …
between adequate service to clients and cost minimization in a dynamic environment of …