A significant challenge of IoT networks is to offer Quality of Service (QoS) and meet deadline
requirements when packets from a massive number of IoT devices are forwarded to an IoT …

The article analyzes the relationship between the residence times of subtasks in the fork-join
subsystems of the queuing system. When arriving the fork-join system, the task is divided …

Problem definition: Delay announcements have become an essential tool in service system
operations: They influence customer behavior and network efficiency. Most current delay …

This paper presents a study of fork–join systems. The fork–join system breaks down each
customer into numerous tasks and processes them on separate servers. Once all tasks are …

We study the tail behavior of max i≤ N sup s> 0 W i (s)+ WA (s)− β s as N→∞, with (W i, i≤
N) iid Brownian motions and WA an independent Brownian motion. This random variable …

In this paper, we study the maximum waiting time $\max_ {i\leq N} W_i (\cdot) $ in an $ N $-
server fork-join queue with heavy-tailed services as $ N\to\infty $. The service times are the …

In this paper, we study the tail behavior of $\max_ {i\leq N}\sup_ {s> 0}\left (W_i (s)+ W_A (s)-
\beta s\right) $ as $ N\to\infty $, with $(W_i, i\leq N) $ iid Brownian motions and $ W_A $ an …

We prove that the scaled maximum steady-state waiting time and the scaled maximum
steady-state queue length among $ N $$ GI/GI/1$-queues in the $ N $-server fork-join …

The article considers a classic fork-join queueing system with a Poisson input flow and
exponential service times on homogeneous servers. When entering the system, tasks are …

Предлагается новый подход к оценке квантилей распределения времени отклика
системы массового обслуживания с разделением и параллельным обслуживанием …