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This paper studies an important rate allocation problem that arises in many networked and distributed systems: steady-state traffic rate allocation from multiple sources to multiple service nodes when both (i) the access-path delay on each…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Tamoghna Sarkar , Bhaskar Krishnamachari

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

This paper tackles the problem of discretizing accelerated optimization flows while retaining their convergence properties. Inspired by the success of resource-aware control in developing efficient closed-loop feedback implementations on…

Optimization and Control · Mathematics 2020-09-22 Miguel Vaquero , Pol Mestres , Jorge Cortés

Accurate traffic flow prediction, a hotspot for intelligent transportation research, is the prerequisite for mastering traffic and making travel plans. The speed of traffic flow can be affected by roads condition, weather, holidays, etc.…

Machine Learning · Computer Science 2022-12-15 Jianlei Kong , Xiaomeng Fan , Xue-Bo Jin , Min Zuo

We propose a model to implement and simulate different traffic-flow conditions in terms of quantum graphs hosting an ($N$+1)-level dot at each site, which allows us to keep track of the type and of the destination of each vehicle. By…

Statistical Mechanics · Physics 2022-04-20 Andrea Nava , Domenico Giuliano , Alessandro Papa , Marco Rossi

In one calculation, adjoint sensitivity analysis provides the gradient of a quantity of interest with respect to all system's parameters. Conventionally, adjoint solvers need to be implemented by differentiating computational models, which…

Machine Learning · Computer Science 2024-04-19 Defne E. Ozan , Luca Magri

This paper proposes the theoretical grounds for emulating the Dynamic System Optimum with desired arrival times on regional networks, using aggregated traffic dynamics based on the Macroscopic Fundamental Diagram. We used a projection…

Optimization and Control · Mathematics 2025-08-27 Mostafa Ameli , Sergio F. A. Batista , Jean-Patrick Lebacque , Monica Menendez

Metropolitan scale vehicular traffic modeling is used by a variety of private and public sector urban mobility stakeholders to inform the design and operations of road networks. High-resolution stochastic traffic simulators are increasingly…

Multiagent Systems · Computer Science 2021-09-24 Neha Arora , Yi-fan Chen , Sanjay Ganapathy , Yechen Li , Ziheng Lin , Carolina Osorio , Andrew Tomkins , Iveel Tsogsuren

The present paper aims at providing a numerical strategy to deal with PDE-constrained optimization problems solved with the adjoint method. It is done through out a unified formulation of the constraint PDE and the adjoint model. The…

Optimization and Control · Mathematics 2017-12-01 Gino I. Montecinos , Juan Lopez-Rios , Jaime H. Ortega , Rodrigo Lecaros

We propose a deterministic adjoint matching framework that formulates human preference alignment for flow-based generative models as an optimal control problem over velocity fields. One can directly regress the control toward a…

Artificial Intelligence · Computer Science 2026-05-08 Zhengyi Guo , Jiayuan Sheng , David D. Yao , Wenpin Tang

Congestion in transport networks is a topic of theoretical interest and practical importance. In this paper we study the flow of vehicles in urban street networks. In particular, we use a cellular automata model to simulate the motion of…

Physics and Society · Physics 2010-12-16 Salvatore Scellato , Luigi Fortuna , Mattia Frasca , Jesús Gómez-Gardeñes , Vito Latora

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with…

Analysis of PDEs · Mathematics 2007-05-23 G. M. Coclite , B. Piccoli

We propose a new model of one-dimensional traffic flow using a coupled map lattice. In the model, each vehicle is assigned a map and changes its velocity according to it. A single map is designed so as to represent the motion of a vehicle…

Condensed Matter · Physics 2009-10-22 Satoshi Yukawa , Macoto Kikuchi

The search for equilibrium in a two-stage traffic flow model reduces to the solution of a special nonsmooth convex optimization problem with two groups of different variables. For numerical solution of this problem, the paper proposes to…

Optimization and Control · Mathematics 2023-07-21 Nikita Iltyakov , Mark Obozov , Igor Dyslevski , Demyan Yarmoshik , Meruza Kubentayeva , Alexander Gasnikov

In this paper, we propose a destination-aware adaptive traffic flow rule aggregation (DATA) mechanism for facilitating traffic flow monitoring in SDN-based networks. This method adapts the number of flow table entries in SDN switches…

Networking and Internet Architecture · Computer Science 2019-09-10 Trung V. Phan , Mehrdad Hajizadeh , Nguyen Tuan Khai , Thomas Bauschert

In transportation systems (e.g. highways, railways, airports), traffic flows with distinct origin-destination pairs usually share common facilities and interact extensively. Such interaction is typically stochastic due to natural…

Optimization and Control · Mathematics 2019-08-06 Li Jin , Yining Wen

Tracking congestion throughout the network road is a critical component of Intelligent transportation network management systems. Understanding how the traffic flows and short-term prediction of congestion occurrence due to rush-hour or…

Machine Learning · Computer Science 2017-07-27 Mohammadhani Fouladgar , Mostafa Parchami , Ramez Elmasri , Amir Ghaderi

We suggest a global perspective on dynamic network flow problems that takes advantage of the similarities to port-Hamiltonian dynamics. Dynamic minimum cost flow problems are formulated as open-loop optimal control problems for general…

Optimization and Control · Mathematics 2023-09-06 Onur Tanil Doganay , Kathrin Klamroth , Bruno Lang , Michael Stiglmayr , Claudia Totzeck

The communication networks in real world often couple with each other to save costs, which results in any network does not have a stand-alone function and efficiency. To investigate this, in this paper we propose a transportation model on…

Physics and Society · Physics 2016-12-19 Ming Li , Mao-Bin Hu , Bing-Hong Wang

A key measure of performance and comfort in a road traffic network is the travel time that the users of the network experience to complete their journeys. Travel times on road traffic networks are stochastic, highly variable, and dependent…

Dynamical Systems · Mathematics 2014-08-18 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque