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This paper proposes a new stochastic model of traffic dynamics in Lagrangian coordinates. The source of uncertainty is heterogeneity in driving behavior, captured using driver-specific speed-spacing relations, i.e., parametric uncertainty.…

Systems and Control · Computer Science 2019-08-16 Fangfang Zheng , Saif Eddin Jabari , Henry X. Liu , DianChao Lin

We present a stochastic constrained output-feedback data-driven predictive control scheme for linear time-invariant systems subject to bounded additive disturbances. The approach uses data-driven predictors based on an extension of Willems'…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Johannes Teutsch , Sebastian Kerz , Dirk Wollherr , Marion Leibold

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

A new congestion and delay control algorithm named QUIC Delay Control (QUIC-DC) is proposed for controlling not only congestion but also the queueing delay encountered along the forward communication path. The core idea is to estimate the…

Networking and Internet Architecture · Computer Science 2025-07-04 Saverio Mascolo , Andrea Vittorio Balillo , Gioacchino Manfredi , Davide D'Agostino , Luca De Cicco

Understanding queuing dynamics of TCP is important for correct router buffer sizing as well as for optimizing the performance of the TCP protocol itself. However, modeling of buffer content dynamics under TCP has received relatively little…

Networking and Internet Architecture · Computer Science 2011-05-09 Daniel Genin , Tassos Nakassis

We present a selective review of statistical modeling of dynamic networks. We focus on models with latent variables, specifically, the latent space models and the latent class models (or stochastic blockmodels), which investigate both the…

Methodology · Statistics 2018-05-31 Bomin Kim , Kevin Lee , Lingzhou Xue , Xiaoyue Niu

Due to increasing urban population and growing number of motor vehicles, traffic congestion is becoming a major problem of the 21st century. One of the main reasons behind traffic congestion is accidents which can not only result in…

Artificial Intelligence · Computer Science 2018-01-02 A. Murat Ozbayoglu , Gokhan Kucukayan , Erdogan Dogdu

We present a novel mechanism to avoid congestion in complex networks based on local knowledge of traffic conditions and the ability of routers to self-coordinate their dynamical behavior. In particular, routers make use of local information…

Physics and Society · Physics 2015-03-17 Sandro Meloni , Jesús Gómez-Gardeñes

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

Living systems often function with regulatory interactions, but the question of how activity, stochasticity and regulations work together for achieving different goals still remains puzzling. We propose a stochastic model of an active…

Soft Condensed Matter · Physics 2026-03-02 Tai Han , Fanlong Meng

Well-designed queuing systems form the backbone of modern communications, distributed computing, and content delivery architectures. Designs balancing infrastructure costs and user experience indices require tools from teletraffic theory…

Information Theory · Computer Science 2019-07-23 Srujan Teja Thomdapu , Ketan Rajawat

This paper focuses on the broadcast of information on robot networks with stochastic network interconnection topologies. Problematic communication networks are almost unavoidable in areas where we wish to deploy multi-robotic systems,…

Robotics · Computer Science 2022-12-21 Thales C. Silva , Li Shen , Xi Yu , M. Ani Hsieh

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-21 Jieqiang Wei , Arjan J. van der Schaft

Traditional congestion control algorithms struggle to maintain the consistent and satisfactory data transmission performance over time-varying networking condition. Simultaneously, as video traffic becomes dominant, the loose coupling…

Networking and Internet Architecture · Computer Science 2025-02-25 Xianliang Jiang , Guanghui Gong , Guang Jin

The packet is the fundamental unit of transportation in modern communication networks such as the Internet. Physical layer scheduling decisions are made at the level of packets, and packet-level models with exogenous arrival processes have…

Networking and Internet Architecture · Computer Science 2010-03-05 Ciamac Moallemi , Devavrat Shah

In Future Internet it is possible to change elements of congestion control in order to eliminate jitter and batch loss caused by the current control mechanisms based on packet loss events. We investigate the fundamental problem of adjusting…

Networking and Internet Architecture · Computer Science 2017-07-25 Peter Haga , Ferenc Toth , Istvan Csabai , Gabor Vattay

Simple binary-state coordination models are widely used to study collective socio-economic phenomena such as the spread of innovations or the adoption of products on social networks. The common trait of these systems is the occurrence of…

Physics and Society · Physics 2021-12-08 Luca Dall'Asta

This paper proposes a multi-scale method to design a continuous-time distributed algorithm for constrained convex optimization problems by using multi-agents with Markov switched network dynamics and noisy inter-agent communications. Unlike…

Optimization and Control · Mathematics 2021-03-02 Wei Ni , Xiaoli Wang