Economies-of-Scale in many-server queueing systems: tutorial and partial review of the QED halfin--whitt heavy-traffic regime

JSH van Leeuwaarden, BWJ Mathijsen, B Zwart - SIAM Review, 2019 - SIAM
Multiserver queueing systems describe situations in which users require service from
multiple parallel servers. Examples include check-in lines at airports, waiting rooms in …

Scalable load balancing in networked systems: A survey of recent advances

MV der Boor, SC Borst, JSH Van Leeuwaarden… - SIAM Review, 2022 - SIAM
In this survey we provide an overview of recent advances on scalable load balancing
schemes which provide favorable delay performance and yet require minimal …

Centralized vs. decentralized ambulance diversion: A network perspective

S Deo, I Gurvich - Management Science, 2011 - pubsonline.informs.org
One of the most important operational challenges faced by emergency departments (EDs) in
the United States is patient overcrowding. In periods of overcrowding, an ED can request the …

Fog load balancing for massive machine type communications: A game and transport theoretic approach

SF Abedin, AK Bairagi, MS Munir, NH Tran… - IEEE …, 2018 - ieeexplore.ieee.org
The emerging fog computing and narrow-band Internet of Things (NB-IoT) wireless
technologies are indispensable for the next-generation massive machine-type …

Join-the-shortest queue diffusion limit in Halfin–Whitt regime: Tail asymptotics and scaling of extrema

S Banerjee, D Mukherjee - 2019 - projecteuclid.org
Consider a system of N parallel single-server queues with unit-ex ponential service time
distribution and a single dispatcher where tasks arrive as a Poisson process of rate λ(N) …

JOIN-THE-SHORTEST QUEUE DIFFUSION LIMIT IN HALFIN–WHITT REGIME

S Banerjee, D Mukherjee - The Annals of Applied Probability, 2020 - JSTOR
Consider a system of N parallel single-server queues with unit-exponential service time
distribution and a single dispatcher where tasks arrive as a Poisson process of rate λ (N) …

An Approximation to the Invariant Measure of the Limiting Diffusion of G/Ph/n + GI Queues in the Halfin–Whitt Regime and Related Asymptotics

X Jin, G Pang, L Xu, X Xu - Mathematics of Operations …, 2024 - pubsonline.informs.org
In this paper, we develop a stochastic algorithm based on the Euler–Maruyama scheme to
approximate the invariant measure of the limiting multidimensional diffusion of G/P h/n+ GI …

Diffusion limit of fair resource control—stationarity and interchange of limits

HQ Ye, DD Yao - Mathematics of Operations Research, 2016 - pubsonline.informs.org
We study a resource-sharing network where each job requires the concurrent occupancy of
a subset of links (servers/resources), and each link's capacity is shared among job classes …

Justifying diffusion approximations for multiclass queueing networks under a moment condition

HQ Ye, DD Yao - 2018 - projecteuclid.org
Multiclass queueing networks (MQN) are, in general, difficult objects to study analytically.
The diffusion approximation refers to using the stationary distribution of the diffusion limit as …

Dynamic flow analysis and crowd management for transfer stations: a case study of Suzhou Metro

J Zhang, Q Ai, Y Ye, S Deng - Public Transport, 2024 - Springer
Transfer stations are important nodes in the metro network, and it is of great significance to
study the coordinated organization scheme between passenger demand and facility …