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This paper presents a framework to incorporate ride-pooling from a mesoscopic point of view, within time-invariant network flow models of Mobility-on-Demand systems. The resulting problem structure remains identical to a standard network…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Fabio Paparella , Leonardo Pedroso , Theo Hofman , Mauro Salazar

As a typical Cyber-Physical System (CPS), smart water distribution networks require monitoring of underground water pipes with high sample rates for precise data analysis and water network control. Due to poor underground wireless channel…

Social and Information Networks · Computer Science 2017-03-30 Sokratis Kartakis , Shusen Yang , Julie A. McCann

In this paper, we study a constrained network flow problem and associated networked dynamics that resemble but are distinct from the well-known primal-dual dynamics of the constrained flow problem. Crucially, under a change of coordinates,…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Amirhossein Iraniparast , Dominic Groß

Efficient management of traffic corridors is critical for sustaining urban mobility. Exclusive bus lane (EBL) and high occupancy vehicle lane (HOVL) are two prominent strategies for enhancing public transit services and alleviating…

Optimization and Control · Mathematics 2025-10-01 Jiaqing Lu , Dian Sheng , Qianwen Guo , Paul Schonfeld

We consider viscous two-dimensional steady flows of incompressible fluids past doubly periodic arrays of solid obstacles. In a class of such flows, the autocorrelations for the Lagrangian observables decay in accordance with the power law,…

Statistical Mechanics · Physics 2007-05-23 Michael A. Zaks , Arthur V. Straube

A strongly polynomial algorithm is given for the generalized flow maximization problem. It uses a new variant of the scaling technique, called continuous scaling. The main measure of progress is that within a strongly polynomial number of…

Data Structures and Algorithms · Computer Science 2016-03-01 László A. Végh

A normalizing flow is an invertible mapping between an arbitrary probability distribution and a standard normal distribution; it can be used for density estimation and statistical inference. Computing the flow follows the change of…

Machine Learning · Computer Science 2021-12-10 Derek Onken , Samy Wu Fung , Xingjian Li , Lars Ruthotto

We study a network design problem (NDP) where the planner aims at selecting the optimal single-link intervention on a transportation network to minimize the travel time under Wardrop equilibrium flows. Our first result is that, if the delay…

Computer Science and Game Theory · Computer Science 2022-11-15 Leonardo Cianfanelli , Giacomo Como , Asuman Ozdaglar , Francesca Parise

We study the well-posedness of a class of dynamical flow network systems describing the dynamical mass balance among a finite number of cells exchanging flow of a commodity between themselves and with the external environment. Systems in…

Optimization and Control · Mathematics 2021-07-13 Giacomo Como , Gustav Nilsson

We design controllers from formal specifications for positive discrete-time monotone systems that are subject to bounded disturbances. Such systems are widely used to model the dynamics of transportation and biological networks. The…

Systems and Control · Computer Science 2018-03-20 Sadra Sadraddini , Calin Belta

We study single commodity network flows with suitable robustness and efficiency specs. An original use of a maximum entropy problem for distributions on the paths of the graph turns this problem into a steering problem for Markov chains…

Mathematical Physics · Physics 2017-09-28 Yongxin Chen , Tryphon T. Georgiou , Michele Pavon , Allen Tannenbaum

Achieving a socially desirable operating point for a multimodal transportation system is challenging when Autonomous Mobility-on-Demand (AMoD) and Public Transit (PT) operators pursue selfish objectives alongside endogenous passenger…

Optimization and Control · Mathematics 2026-05-19 Xinling Li , Runyu Zhang , Gioele Zardini

The unreal high flows may appear on the actually congested links in the result when a monotonically increasing link travel time function of flow volume is adopted in traffic assignment. The fixed link flow results of a static traffic…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Shengxue He

Networks with phase-valued nodal variables are central in modeling several important societal and physical systems, including power grids, biological systems, and coupled oscillator networks. One of the distinctive features of phase-valued…

Optimization and Control · Mathematics 2020-09-15 Saber Jafarpour , Elizabeth Y. Huang , Kevin D. Smith , Francesco Bullo

We study network design problems for nonlinear and nonconvex flow models without controllable elements under load scenario uncertainties, i.e., under uncertain injections and withdrawals. To this end, we apply the concept of adjustable…

Optimization and Control · Mathematics 2025-01-20 Johannes Thürauf , Julia Grübel , Martin Schmidt

The combination of boundary flow control and variable speed limit (VSL) is a widely used strategy for highway corridors to maintain safety and throughput when the capacity downstream is dropped. However, most proposed models assume fixed…

Optimization and Control · Mathematics 2021-10-28 Hao Liu , Suyash Vishnoi , Christian Claudel

Dynamic pricing is commonly used to regulate congestion in shared service systems. This paper is motivated by the fact that in the presence of users with varying price sensitivity (responsiveness), conventional monotonic pricing can lead to…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Yingqing Chen , Anni Li , Christos G. Cassandras , Homayoun Hamedmoghadam , Fabian Wirth , Robert Shorten

Data-driven reduced-order models of the dynamics of complex flows are important for tasks related to design, understanding, prediction, and control. Many flows obey symmetries, and the present work illustrates how these can be exploited to…

Machine Learning · Computer Science 2025-04-23 Carlos E. Pérez De Jesús , Alec J. Linot , Michael D. Graham

User equilibrium is a central concept for studying transportation networks, and one can view it as the result of a dynamical process of drivers' route choice behavior. In this paper, based on a definition of O-D First-In-First-Out…

Dynamical Systems · Mathematics 2007-11-20 Wen-Long Jin

With a growing share of electric vehicles (EVs) in our distribution grids, the need for smart charging becomes indispensable to minimise grid reinforcement. To circumvent the associated capacity limitations, this paper evaluates the…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Flore Verbist , Nanda Kishor Panda , Pedro P. Vergara , Peter Palensky