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A fluid queuing network constitutes one of the simplest models in which to study flow dynamics over a network. In this model we have a single source-sink pair and each link has a per-time-unit capacity and a transit time. A dynamic…

Computer Science and Game Theory · Computer Science 2021-12-21 Roberto Cominetti , José Correa , Neil Olver

We study a system, where a random flow of customers is served by servers (called agents) invited on-demand. Each invited agent arrives into the system after a random time; after each service completion, an agent returns to the system or…

Probability · Mathematics 2017-11-28 Lam M. Nguyen , Alexander Stolyar

When IP-packet processing is unconditionally carried out on behalf of an operating system kernel thread, processing systems can experience overload in high incoming traffic scenarios. This is especially worrying for embedded real-time…

Networking and Internet Architecture · Computer Science 2022-04-20 Christoph Blumschein , Ilja Behnke , Lauritz Thamsen , Odej Kao

Distributed opportunistic scheduling is studied for wireless ad-hoc networks, where many links contend for one channel using random access. In such networks, distributed opportunistic scheduling (DOS) involves a process of joint channel…

Information Theory · Computer Science 2016-11-17 Dong Zheng , Man-On Pun , Weiyan Ge , Junshan Zhang , H. Vincent Poor

Due to the presence of buffers in the inner network nodes, each congestion event leads to buffer queueing and thus to an increasing end-to-end delay. In the case of delay sensitive applications, a large delay might not be acceptable and a…

Networking and Internet Architecture · Computer Science 2017-01-23 Stefano D'Aronco , Laura Toni , Sergio Mena , Xiaoqing Zhu , Pascal Frossard

We consider a switched (queuing) network in which there are constraints on which queues may be served simultaneously; such networks have been used to effectively model input-queued switches and wireless networks. The scheduling policy for…

Probability · Mathematics 2014-09-04 D. Shah , N. S. Walton , Y. Zhong

Consider a countably infinite collection of interacting queues, with a queue located at each point of the $d$-dimensional integer grid, having independent Poisson arrivals, but dependent service rates. The service discipline is of the…

Probability · Mathematics 2019-03-12 Abishek Sankararaman , François Baccelli , Sergey Foss

Network latency severely impacts the performance of applications running on supercomputers. Adaptive routing algorithms route packets over different available paths to reduce latency and improve network utilization. However, if a switch…

Networking and Internet Architecture · Computer Science 2025-11-20 Tommaso Bonato , Daniele De Sensi , Salvatore Di Girolamo , Abdulla Bataineh , David Hewson , Duncan Roweth , Torsten Hoefler

We develop a queueing-theoretic framework to model the temporal evolution of cyber-attack surfaces, where the number of active vulnerabilities is represented as the backlog of a queue. Vulnerabilities arrive as they are discovered or…

Cryptography and Security · Computer Science 2026-04-17 Jihyeon Yun , Abdullah Yasin Etcibasi , Ming Shi , C. Emre Koksal

We study the steady-state delay performance of load balancing in large-scale systems with heterogeneous servers in the heavy-traffic regimes. The system consists of $N$ servers, each with a local buffer of size $b-1$, serving jobs in the…

Probability · Mathematics 2026-02-27 Xin Liu , Lei Ying

This paper introduces and analyzes the notion of throughput suboptimality for many-server queueing systems in heavy traffic. The queueing model under consideration has multiple customer classes, indexed by a finite set $\mathcal{I}$, and…

Probability · Mathematics 2009-06-15 Rami Atar , Gennady Shaikhet

We study the matching of jobs to workers in a queue, e.g. a ridesharing platform dispatching drivers to pick up riders at an airport. Under FIFO dispatching, the heterogeneity in trip earnings incentivizes drivers to cherry-pick, increasing…

Computer Science and Game Theory · Computer Science 2021-11-23 Francisco Castro , Hongyao Ma , Hamid Nazerzadeh , Chiwei Yan

We consider scheduling packets with values in a capacity-bounded buffer in an online setting. In this model, there is a buffer with limited capacity $B$. At any time, the buffer cannot accommodate more than $B$ packets. Packets arrive over…

Data Structures and Algorithms · Computer Science 2011-08-02 Fei Li

Motivated by medium access control for resource-challenged wireless Internet of Things (IoT), we consider the problem of queue scheduling with reduced queue state information. In particular, we consider a time-slotted scheduling model with…

Networking and Internet Architecture · Computer Science 2020-05-08 Avinash Mohan , Aditya Gopalan , Anurag Kumar

Network calculus is often used to prove delay bounds in deterministic networks, using arrival and service curves. We consider a FIFO system that offers a rate-latency service curve and where packet transmission occurs at line rate without…

Networking and Internet Architecture · Computer Science 2020-08-10 Ehsan Mohammadpour , Elena Stai , Jean-Yves Le Boudec

We study online interval scheduling in the irrevocable setting, where each interval must be immediately accepted or rejected upon arrival. The objective is to maximize the total length of accepted intervals while ensuring that no two…

Machine Learning · Computer Science 2025-11-21 Antonios Antoniadis , Ali Shahheidar , Golnoosh Shahkarami , Abolfazl Soltani

Bounding the queue length in a multiserver queue is a central challenge in queueing theory. Even for the classical $G/G/n$ queue with homogeneous servers, it is highly non-trivial to derive a simple and accurate bound for the steady-state…

Probability · Mathematics 2026-04-07 Yige Hong

Active Queue Management (AQM) aims to prevent bufferbloat and serial drops in router and switch FIFO packet buffers that usually employ drop-tail queueing. AQM describes methods to send proactive feedback to TCP flow sources to regulate…

Performance · Computer Science 2023-04-25 Sounak Kar , Bastian Alt , Heinz Koeppl , Amr Rizk

In contention resolution, multiple processors are trying to coordinate to send discrete messages through a shared channel with limited communication. If two processors send at the same time, the messages collide and are not transmitted…

Data Structures and Algorithms · Computer Science 2025-02-28 Leslie Ann Goldberg , John Lapinskas

We consider an M/M/N/K/FCFS system (N>0, K>=N), where the servers operate at (possibly) heterogeneous service rates. In this situation, the steady state behavior depends on the routing policy that is used to select which idle server serves…

Performance · Computer Science 2016-03-23 Sherwin Doroudi , Ragavendran Gopalakrishnan