Heavy-traffic limits for a fork-join network in the Halfin-Whitt regime

H Lu, G Pang - Stochastic Systems, 2017 - pubsonline.informs.org
We study a fork-join network with a single class of jobs, which are forked into a fixed number
of parallel tasks upon arrival to be processed at the corresponding multi-server stations …

Sensitivity analysis and simulation of a multiserver queueing system with mixed service time distribution

E Morozov, M Pagano, I Peshkova, A Rumyantsev - Mathematics, 2020 - mdpi.com
The motivation of mixing distributions in communication/queueing systems modeling is that
some input data (eg, service time in queueing models) may follow several distinct …

Perfect simulation of Markovian load balancing queueing networks in equilibrium

C Graham - arXiv preprint arXiv:2407.03756, 2024 - arxiv.org
We define a wide class of Markovian load balancing networks of identical single-server
infinite-buffer queues. These networks may implement classic parallel server or work …

Steady-state performance analysis of multiserver queueing models with redundancy

AS Rumyantsev, DS Dolgaleva… - … системы: теория и …, 2023 - mathnet.ru
В работе предложены подходы к исследованию стохастических моделей
вычислительных сетей из персональных компьютеров с помощью многосерверных …

Perfect sampling of generalized Jackson networks

J Blanchet, X Chen - Mathematics of Operations Research, 2019 - pubsonline.informs.org
We provide the first perfect sampling algorithm for a generalized Jackson network of first-in,
first-out queues under arbitrary topology and non-Markovian assumptions on the input of the …

On Waiting Time Maxima in Queues with Exponential-Pareto Service Times

I Peshkova, A Golovin, M Maltseva - International Conference on …, 2022 - Springer
In this paper we study the extreme behavior of waiting time in steady-state GI/G/1 systems
with Exponential-Pareto service times. We show that this distribution belongs to the subclass …

[HTML][HTML] Исследование стационарных характеристик многосерверных моделей с избыточностью

АС Румянцев, ДС Долгалева… - … системы: теория и …, 2023 - cyberleninka.ru
В работе предложены подходы к исследованию стохастических моделей
вычислительных сетей из персональных компьютеров с помощью многосерверных …

Omnithermal perfect simulation for multi-server queues

S Connor - ACM Transactions on Modeling and Computer …, 2020 - dl.acm.org
A number of perfect simulation algorithms for multi-server First Come First Served queues
have recently been developed. Those of Connor and Kendall [6] and Blanchet et al.[4] use …

Perfect Sampling for Queueing Systems

X Shi - 2017 - search.proquest.com
This thesis mainly studies perfect simulation methodology for the time-varying queueing
systems including time varying queue with a single server (Mt/Gt/1 and Gt/G/1) and time …