[HTML][HTML] Spatial queues with nearest neighbour shifts

BRV Kumar, L Leskelä - Performance Evaluation, 2024 - Elsevier
This work studies queues in a Euclidean space. Consider N servers that are distributed
uniformly in [0, 1] d. Customers arrive at the servers according to independent stationary …

On the Analysis and Evaluation of Proximity-based Load-balancing Policies

NK Panigrahy, T Vasantam, P Basu… - ACM Transactions on …, 2022 - dl.acm.org
Distributed load balancing is the act of allocating jobs among a set of servers as evenly as
possible. The static interpretation of distributed load balancing leads to formulating the load …

Greedy walk on the real line

S Foss, LT Rolla, V Sidoravicius - 2015 - projecteuclid.org
We consider a self-interacting process described in terms of a single-server system with
service stations at each point of the real line. The customer arrivals are given by a Poisson …

[图书][B] In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius

ME Vares, R Fernández, LR Fontes, CM Newman - 2021 - Springer
Vladas was born in Vilnius, Lithuania, on August 23, 1963, and did his undergraduate
studies in Mathematics from 1982 to 1985 at Vilnius University. There, in 1986, he received …

[HTML][HTML] Random walks avoiding their convex hull with a finite memory

F Comets, MV Menshikov, AR Wade - Indagationes Mathematicae, 2020 - Elsevier
Fix integers d≥ 2 and k≥ d− 1. Consider a random walk X 0, X 1,… in R d in which, given X
0, X 1,…, X n (n≥ k), the next step X n+ 1 is uniformly distributed on the unit ball centred at X …

Many greedy cleaners in a Poisson environment

S Foss, T Mountford - arXiv preprint arXiv:1910.01166, 2019 - arxiv.org
We introduce a new``greedy cleaning''model where a star-like state space (containing N half-
lines connected by the origin) is covered by a homogeneous Poisson process of``dust …

Comments on: Polling: past, present and perspective

S Foss - Top, 2018 - Springer
We like to say that Sem Borst and Onno Boxma have given a nice survey of the literature
and trends in the studies of stochastic polling systems. The authors are good experts who …