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Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq

Traffic congestion has become an inevitable challenge in large cities due to population increases and expansion of urban areas. Various approaches are introduced to mitigate traffic issues, encompassing from expanding the road…

Optimization and Control · Mathematics 2023-12-06 Ali Ghafelebashi , Meisam Razaviyayn , Maged Dessouky

A seminal result of [Fleischer et al. and Karakostas and Kolliopulos, both FOCS 2004] states that system optimal multi-commodity static network flows are always implementable as tolled Wardrop equilibrium flows even if users have…

Computer Science and Game Theory · Computer Science 2025-03-11 Lukas Graf , Tobias Harks , Julian Schwarz

Traffic congestion has dire economic and social impacts in modern metropolitan areas. To address this problem, in this paper we introduce a novel type of model-free transactive controllers to manage vehicle traffic in highway networks for…

Optimization and Control · Mathematics 2022-04-22 Daniel E. Ochoa , Jorge I. Poveda

We propose the first analytical stochastic model for optimizing the configuration and implementation policies of fare-free transit. The model focuses on a transportation corridor with two transportation modes: automobiles and buses. The…

Optimization and Control · Mathematics 2025-10-24 Qianwen Guo , Jiaqing Lu , Joseph Y. J. Chow , Paul Schonfeld

With the proliferation of ride-hailing services, curb space in urban areas has become highly congested due to the massive passenger pick-ups and drop-offs. Particularly during peak hours, the massive ride-hailing vehicles waiting to drop…

Optimization and Control · Mathematics 2025-06-17 Yao Deng , Zhi-Chun Li , Sean Qian , Wei Ma

The increased use of personal vehicles presents environmental challenges, prompting the exploration of public transportation as an affordable, eco-friendly alternative. However, obstacles like fixed schedules, limited routes, and extended…

Applications · Statistics 2024-02-13 Meiyu , Pan , Christa Brelsford , Majbah Uddin

Ridesharing has great potential to improve transportation efficiency while reducing congestion and pollution. To realize this potential, mechanisms are needed that allocate vehicles optimally and provide the right incentives to riders.…

Computer Science and Game Theory · Computer Science 2023-01-13 Tatsuya Iwase , Sebastian Stein , Enrico H. Gerding

The introduction of autonomous (self-driving) and shared autonomous vehicles (AVs and SAVs) will affect travel destinations and distances, mode choice, and congestion. From a traffic perspective, although some congestion reduction may be…

Computer Science and Game Theory · Computer Science 2018-11-14 Michele D. Simoni , Kara M. Kockelman , Krishna M. Gurumurthy , Joschka Bischoff

The dynamic pricing problem of a freeway corridor with high-occupancy toll (HOT) lanes was formulated and solved based on a point queue abstraction of the traffic system [Yin and Lou, 2009]. However, existing pricing strategies cannot…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Xuting Wang , Wen-Long Jin , Yafeng Yin

Tolls are collected on many highways as a means of traffic control and revenue generation. However, the presence of tollbooths on highway surely slows down traffic flow. Here, we investigate how the presence of tollbooths affect the average…

Statistical Mechanics · Physics 2007-05-23 H. F. Chau , H. Xu , L. -G. Liu

Tolling in traffic networks offers a popular measure to minimize overall congestion. Existing toll designs primarily focus on congestion in route-based traffic assignment models (TAMs), in which travelers make a single route selection from…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Chih-Yuan Chiu , Chinmay Maheshwari , Pan-Yang Su , Shankar Sastry

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

A wide range of price-based congestion management schemes were proposed in the literature ranging from marginal cost road pricing to trip based multimodal pricing. The underlying models were formulated under different theoretical…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Ennio Cascetta , Marcello Montanino

In this study, we introduce a toll lane framework that optimizes the mixed flow of autonomous and high-occupancy vehicles on freeways, where human-driven and autonomous vehicles of varying commuter occupancy share a segment. Autonomous…

Systems and Control · Electrical Eng. & Systems 2024-03-22 Ruolin Li , Philip N. Brown , Roberto Horowitz

Credit-based congestion pricing (CBCP) has emerged as a mechanism to alleviate the social inequity concerns of road congestion pricing - a promising strategy for traffic congestion mitigation - by providing low-income users with travel…

Computer Science and Game Theory · Computer Science 2022-10-31 Devansh Jalota , Jessica Lazarus , Alexandre Bayen , Marco Pavone

The transportation system is an interplay between infrastructure, vehicles, and policy. During the past century, the rapid expansion of the road network, blended with increasing vehicle production and mobility demands, has been stressing…

Computers and Society · Computer Science 2022-09-23 Weizi Li

Mobility systems often suffer from a high price of anarchy due to the uncontrolled behavior of selfish users. This may result in societal costs that are significantly higher compared to what could be achieved by a centralized system-optimal…

Systems and Control · Electrical Eng. & Systems 2023-05-26 David van de Sanden , Maarten Schoukens , Mauro Salazar

One of the main problems that local authorities of large cities have to face is the regulation of urban mobility. They need to provide the means to allow for the efficient movement of people and distribution of goods. However, the…

Physics and Society · Physics 2024-01-24 Holger Billhardt , Alberto Fernández , Pasqual Martí , Javier Prieto Tejedor , Sascha Ossowski

Congestion pricing has long been hailed as a means to mitigate traffic congestion; however, its practical adoption has been limited due to the resulting social inequity issue, e.g., low-income users are priced out off certain roads. This…

Computer Science and Game Theory · Computer Science 2023-04-03 Devansh Jalota , Kiril Solovey , Karthik Gopalakrishnan , Stephen Zoepf , Hamsa Balakrishnan , Marco Pavone