Simulation of batch service lateness queues with multiple vacations and two Bernoulli catastrophes using the developed'goLHS'generator

A Rezgui, H Saggou, M Ourbih-Tari… - … of Mathematics in …, 2023 - inderscienceonline.com
This paper considers a new model of a single server queue subject to two different Bernoulli
catastrophes with service lateness which represents the control duration and the service …

Perfect sampling of Hawkes processes and queues with Hawkes arrivals

X Chen - Stochastic Systems, 2021 - pubsonline.informs.org
In this paper we develop to our best knowledge the first perfect sampling algorithm for
queues with Hawkes input (ie, single-server queues with Hawkes arrivals and independent …

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 …

Exact simulation vs exact estimation

PW Glynn - 2016 Winter Simulation Conference (WSC), 2016 - ieeexplore.ieee.org
This paper contrasts exact simulation against exact estimation in two different computational
settings, namely that of numerical solution of stochastic differential equations and also in the …

Scheduling with service-time information: The power of two priority classes

Y Chen, J Dong - arXiv preprint arXiv:2105.10499, 2021 - arxiv.org
Utilizing customers' service-time information, we study an easy-to-implement scheduling
policy with two priority classes. By carefully designing the classes, the two-class priority rule …

Perfect sampling of stochastic matching models with reneging

T Masanet, P Moyal - Advances in Applied Probability, 2024 - cambridge.org
In this paper, we introduce a slight variation of the dominated-coupling-from-the-past
(DCFTP) algorithm of Kendall, for bounded Markov chains. It is based on the control of a …

On logarithmically optimal exact simulation of max-stable and related random fields on a compact set

Z Liu, JH Blanchet, AB Dieker, T Mikosch - 2019 - projecteuclid.org
We consider the random field M (t)= sup _ n\geq1 {-\log A_ n+ X_ n (t)\},\qquad t ∈ T, for a
set T⊂R^m, where (X_n) is an iid sequence of centered Gaussian random fields on T and …

On optimal exact simulation of max-stable and related random fields

Z Liu, JH Blanchet, AB Dieker, T Mikosch - arXiv preprint arXiv:1609.06001, 2016 - arxiv.org
We consider the random field M (t)=\sup_ {n\geq 1}\big\{-\log A_ {n}+ X_ {n}(t)\big\}\,,\qquad
t\in T\, for a set $ T\subset\mathbb {R}^{m} $, where $(X_ {n}) $ is an iid sequence of …

Exact sampling of stationary and time-reversed queues

J Blanchet, A Wallwater - ACM Transactions on Modeling and Computer …, 2015 - dl.acm.org
We provide the first algorithm that, under minimal assumptions, allows simulation of the
stationary waiting-time sequence of a single-server queue backward in time, jointly with the …

Exact sampling for some multi-dimensional queueing models with renewal input

J Blanchet, Y Pei, K Sigman - Advances in Applied Probability, 2019 - cambridge.org
Using a result of Blanchet and Wallwater (2015) for exactly simulating the maximum of a
negative drift random walk queue endowed with independent and identically distributed (iid) …