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We study the equilibrium behavior in a multi-commodity selfish routing game with many types of uncertain users where each user over- or under-estimates their congestion costs by a multiplicative factor. Surprisingly, we find that…

Computer Science and Game Theory · Computer Science 2018-01-12 Shreyas Sekar , Liyuan Zheng , Lillian J. Ratliff , Baosen Zhang

There are tradeoffs between current sharing among distributed resources and DC bus voltage stability when conventional droop control is used in DC microgrids. As current sharing approaches the setpoint, bus voltage deviation increases.…

Optimization and Control · Mathematics 2017-01-24 Tuyen V. Vu , Dallas Perkins , Fernand Diaz , David Gonsoulin , Chris S. Edrington , Touria El-Mezyani

Traffic congestion represents a complex urban phenomenon that has been the subject of extensive research employing various modeling techniques grounded in the principles of physics and molecular theory. Although factors such as road design,…

Theoretical Economics · Economics 2025-10-07 Shawn Berry

The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing. Using the fundamental diagram of traffic flows - applied in macroscopic and…

Over the past decade, there has been a surge of interest in the transport community in the application of agent-based simulation models to evaluate flexible transit solutions characterized by different degrees of short-term flexibility in…

Multiagent Systems · Computer Science 2022-11-22 David Leffler , Wilco Burghout , Oded Cats , Erik Jenelius

Shared Mobility Services (SMSs) are transforming urban transportation systems by offering flexible travel options. These services, which help reduce the number of cars on the roads, have the potential to enhance the transportation system's…

Optimization and Control · Mathematics 2025-08-21 Khadidja Kadem , Mostafa Ameli , Mahdi Zargayouna , Latifa Oukhellou

The potential of an efficient ride-sharing scheme to significantly reduce traffic congestion, lower emission level, as well as facilitating the introduction of smart cities has been widely demonstrated. This positive thrust however is faced…

Social and Information Networks · Computer Science 2017-06-05 Tal Altshuler , Rachel Katoshevski , Yoram Shiftan

We analyse a non-cooperative strategic game among two ride-hailing platforms, each of which is modeled as a two-sided queueing system, where drivers (with a certain patience level) are assumed to arrive according to a Poisson process at a…

Optimization and Control · Mathematics 2022-08-04 Tushar Shankar Walunj , Shiksha Singhal , Veeraruna Kavitha , Jayakrishnan Nair

Short-term future of automated driving can be imagined as a hybrid scenario in which both automated and human-driven vehicles co-exist in the same environment. In order to address the needs of such road configuration, many technology…

Signal Processing · Electrical Eng. & Systems 2020-08-24 Behrad Toghi , Divas Grover , Mahdi Razzaghpour , Rajat Jain , Rodolfo Valiente , Mahdi Zaman , Ghayoor Shah , Yaser P. Fallah

We consider a spatially distributed demand for electrical vehicle recharging, that must be covered by a fixed set of charging stations. Arriving EVs receive feedback on transport times to each station, and waiting times at congested ones,…

Optimization and Control · Mathematics 2024-04-02 Fernando Paganini , Andres Ferragut

Two-vehicle racing is natural example of a competitive dynamic game. As with most dynamic games, there are many ways in which the underlying solution concept can be structured, resulting in different equilibrium concepts. The assumed…

Computer Science and Game Theory · Computer Science 2025-03-11 Andrew Cinar , Forrest Laine

A system manager makes dynamic pricing and dispatch control decisions in a queueing network model motivated by ride-hailing applications. A novel feature of the model is that it incorporates travel times. Unfortunately, this renders the…

Optimization and Control · Mathematics 2026-05-27 Amir Anastasios Alwan , Baris Ata , Yuwei Zhou

We revisit the classic problem of determining optimal routes in a graph for transporting two given distributions defined on its nodes, originally studied by Wardrop and Beckmann in the 1950s. The global congestion profile at any given time…

Optimization and Control · Mathematics 2025-03-28 Hector Andres Chang-Lara , Sergio David Zapeta-Tzul

This paper analyzes a class of Stackelberg games where different actors compete for shared resources and a central authority tries to balance the demand through a pricing mechanism. Situations like this can for instance occur when fleet…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

While multimodal mobility systems have the potential to bring many benefits to travelers, drivers, the environment, and traffic congestion, such systems typically involve multiple non-cooperative decision-makers who may selfishly optimize…

Methodology · Statistics 2026-01-08 Md Nafees Fuad Rafi , Zhaomiao Guo

The coordinated and efficient distribution of limited resources by individual decisions is a fundamental, unsolved problem. When individuals compete for road capacities, time, space, money, goods, etc., they normally make decisions based on…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Martin Schoenhof , Daniel Kern

Many factors can affect the predictability of public bus services such as traffic, weather and local events. Other aspects, such as day of week or hour of day, may influence bus travel times as well, either directly or in conjunction with…

Machine Learning · Computer Science 2016-11-15 Matthias Kormaksson , Luciano Barbosa , Marcos R. Vieira , Bianca Zadrozny

The distributional impacts of congestion pricing have been widely studied in the literature and the evidence on this is mixed. Some studies find that pricing is regressive whereas others suggest that it can be progressive or neutral…

The Braess's Paradox (BP) is the observation that adding one or more roads to the existing road network will counter-intuitively increase traffic congestion and slow down the overall traffic flow. Previously, the existence of the BP is…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Dingyi Zhuang , Yuzhu Huang , Vindula Jayawardana , Jinhua Zhao , Dajiang Suo , Cathy Wu

We propose a dynamical model of price formation on a spatial market where sellers and buyers are placed on the nodes of a graph, and the distribution of the buyers depends on the positions and prices of the sellers. We find that, depending…

Physics and Society · Physics 2022-11-15 Andrea Civilini , Vito Latora
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