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Existing traffic control systems only possess a local perspective over the multiple scales of traffic evolution, namely the intersection level, the corridor level, and the region level respectively. But luckily, despite its complex…

系统与控制 · 电气工程与系统科学 2023-01-25 Cristian Axenie , Margherita Grossi

To systematically study the implications of additional information about routes provided to certain users (e.g., via GPS-based route guidance systems), we introduce a new class of congestion games in which users have differing information…

计算机科学与博弈论 · 计算机科学 2017-11-06 Daron Acemoglu , Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

The paper provides conditions that guarantee existence and uniqueness of classical solutions for a non-local conservation law on a ring-road with possible nudging (or "look behind") terms. The obtained conditions are novel, as they are not…

最优化与控制 · 数学 2020-03-06 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

We present a set-oriented graph-based computational framework for continuous-time optimal transport over nonlinear dynamical systems. We recover provably optimal control laws for steering a given initial distribution in phase space to a…

动力系统 · 数学 2018-12-21 Karthik Elamvazhuthi , Piyush Grover

Optimal transport (OT) theory provides a principled framework for modeling mass movement in applications such as mobility, logistics, and economics. Classical formulations, however, generally ignore capacity limits that are intrinsic in…

最优化与控制 · 数学 2025-11-04 Anqi Dong , Karl Henrik Johansson , Johan Karlsson

The objective of this paper is to initiate a qualitative analysis of dynamic flow in traffic networks by using the competitive equilibrium model of multiple market systems. A network is modeled as a dynamic graph where routes (edges) are…

系统与控制 · 计算机科学 2017-11-30 Dragoslav D. Šiljak

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

混沌动力学 · 物理学 2015-06-19 Guofeng Zhang , Tongwen Chen

This paper presents a new approach to congestion management at traffic-light intersections. The approach is based on controlling the relative lengths of red/green cycles in order to have the congestion level track a given reference. It uses…

最优化与控制 · 数学 2014-07-29 Yorai Wardi , Carla Seatzu

This paper presents an interactive bathtub model for describing the traffic dynamics of ride-sourcing vehicles including non-shared taxis and ride-pooling cars. A city with a network of undifferentiated streets and solely served by…

最优化与控制 · 数学 2020-07-20 Wenbo Fan

We analyze chaos in the well-known nonautonomous Double-Gyre system. A key focus is on folding, which is possibly the less-studied aspect of the "stretching + folding = chaos" mantra of chaotic dynamics. Despite the Double-Gyre not having…

动力系统 · 数学 2017-11-22 K. G. D. Sulalitha Priyankara , Sanjeeva Balasuriya , Erik Bollt

We present a dynamical system approach for the control of a nonlinear dynamical system by defining the control problem in a Fiber bundle framework. The constructive procedure derived results in the generation of a NHIM/NAIM which…

系统与控制 · 电气工程与系统科学 2025-07-08 Rachit Mehra , M Parimi , S. R. Wagh , Navdeep M Singh

This contribution summarizes and explains various principles from physics which are used for the simulation of traffic flows in large street networks, the modeling of destination, transport mode, and route choice, or the simulation of urban…

物理与社会 · 物理学 2015-06-17 Dirk Helbing , Kai Nagel

Dynamic graph theory is a novel, growing area that deals with graphs that change over time and is of great utility in modelling modern wireless, mobile and dynamic environments. As a graph evolves, possibly arbitrarily, it is challenging to…

计算复杂性 · 计算机科学 2012-05-28 Bernard Mans , Luke Mathieson

In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars…

动力系统 · 数学 2015-03-27 J. A. Conejero , M. Murillo Arcila , J. B. Seoane-Sepúlveda

In this paper we investigate numerically the model for pedestrian traffic proposed in [B.Andreianov, C.Donadello, M.D.Rosini, Crowd dynamics and conservation laws with nonlocal constraints and capacity drop, Mathematical Models and Methods…

We consider the problem of incentivization and optimal control of autonomous vehicles for improving traffic congestion. In our scenario, autonomous vehicles must be incentivized in order to participate in traffic improvement. Using the…

最优化与控制 · 数学 2020-06-18 Uroš Kalabić , Piyush Grover , Shuchin Aeron

We develop a probabilistic framework for global modeling of the traffic over a computer network. This model integrates existing single-link (-flow) traffic models with the routing over the network to capture the global traffic behavior. It…

网络与互联网体系结构 · 计算机科学 2010-05-25 Stilian A. Stoev , George Michailidis , Joel Vaughan

Based on simulations with the ``intelligent driver model'', a microscopic traffic model, we explain the recently discovered transition from free over ``synchronized'' traffic to stop-and-go patterns [B. S. Kerner, Phys. Rev. Lett. 81, 3797…

统计力学 · 物理学 2007-05-23 Martin Treiber , Dirk Helbing

The Physarum network expands or retracts in response to environmental stimuli, demonstrating an intelligent adaptive capability to locate optimal paths for nutrient transport. The underlying physical mechanism governing this intelligence…

生物物理 · 物理学 2026-02-03 Bingyang Han , Luolan Chen , Tieyan Si

This paper establishes the continuity of the path delay operators for dynamic network loading (DNL) problems based on the Lighthill-Whitham-Richards model, which explicitly capture vehicle spillback. The DNL describes and predicts the…

偏微分方程分析 · 数学 2016-03-25 Ke Han , Benedetto Piccoli , Terry L. Friesz