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 …
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 …
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 …
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 …
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 …
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 …