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We describe a software framework for solving user equilibrium traffic assignment problems. The design is based on the formulation of the problem as a variational inequality. The software implements these as well as several numerical methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Juliette Ugirumurera , Gabriel Gomes , Emily Porter , Xiaoye S. Li , Alexandre Bayen

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We propose a route choice model in which traveler behavior is represented as a utility maximizing assignment of flow across an entire network under a flow conservation constraint}. Substitution between routes depends on how much they…

Econometrics · Economics 2021-09-23 Mogens Fosgerau , Mads Paulsen , Thomas Kjær Rasmussen

We consider a profit maximization problem in an urban mobility on-demand service, of which the operator owns a fleet, provides both exclusive and shared trip services, and dynamically determines prices of offers. With knowledge of the…

Optimization and Control · Mathematics 2018-02-13 Han Qiu , Ruimin Li , Jinhua Zhao

Motivated by applications in job scheduling, queuing networks, and load balancing in cyber-physical systems, we develop and analyze a game-theoretic framework to balance the load among servers in static and dynamic settings. In these…

Computer Science and Game Theory · Computer Science 2025-12-24 Fatemeh Fardno , S. Rasoul Etesami

Sharing unused vehicles is one practical solution for traffic congestion. We propose an advanced vehicle-sharing service that maximizes the sharing of vehicles and improves traffic efficiency by coordinating user trips via an information…

Computer Science and Game Theory · Computer Science 2016-04-05 Tatsuya Iwase , Takahiro Shiga

This paper studies the routing and charging behaviors of electric vehicles in a competitive ride-hailing market. When the vehicles are idle, they can choose whether to continue cruising to search for passengers, or move a charging station…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Kenan Zhang , John Lygeros

This paper provides a unified framework for the problem of controlling a fleet of ride-hailing vehicles under stochastic demand. We introduce a sequential decision-making model that consolidates several problem characteristics and can be…

Optimization and Control · Mathematics 2025-12-29 Stefan Pilot , Murwan Siddig

A multiclass queue with many servers is considered, where customers make a join-or-leave decision upon arrival based on queue length information, without knowing the scheduling policy or the state of other queues. A game theoretic…

Optimization and Control · Mathematics 2015-05-07 Rami Atar , Subhamay Saha

This paper addresses the benefit allocation in a mixed-energy truck platoon composed of fuel-powered and electric trucks. The interactions among trucks during platoon formation are modeled as a coalitional game with transferable utility. We…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Ting Bai , Karl Henrik Johansson , Jonas Mårtensson , Andreas A. Malikopoulos

The assignment game models a housing market where buyers and sellers are matched, and transaction prices are set so that the resulting allocation is stable. Shapley and Shubik showed that every stable allocation is necessarily built on a…

Computer Science and Game Theory · Computer Science 2026-02-23 Emile Martinez , Felipe Garrido-Lucero , Umberto Grandi

Problem definition: In many matching markets, some agents are fully flexible, while others only accept a subset of jobs. For example, ridesharing drivers can specify on the platform the destinations they are willing to accept. Conventional…

Computer Science and Game Theory · Computer Science 2026-01-30 Chiwei Yan , Francisco Castro , Peter Frazier , Hongyao Ma , Hamid Nazerzadeh

The proliferation of ride sharing systems is a major drive in the advancement of autonomous and electric vehicle technologies. This paper considers the joint routing, battery charging, and pricing problem faced by a profit-maximizing…

Systems and Control · Electrical Eng. & Systems 2020-10-05 Berkay Turan , Ramtin Pedarsani , Mahnoosh Alizadeh

Autonomous mobility on demand services have the potential to disrupt the future mobility system landscape. Ridepooling services in particular can decrease land consumption and increase transportation efficiency by increasing the average…

Multiagent Systems · Computer Science 2022-07-12 Roman Engelhardt , Patrick Malcolm , Florian Dandl , Klaus Bogenberger

This article proposes a characterization of admissions markets that can predict the distribution of students at each school or college under both centralized and decentralized admissions paradigms. The characterization builds on recent…

Theoretical Economics · Economics 2021-07-06 Max Kapur

The rapid development and deployment of vehicle technologies offer opportunities to re-think the way traffic is managed. This paper capitalizes on vehicle connectivity and proposes an economic instrument and corresponding cooperative…

Systems and Control · Electrical Eng. & Systems 2022-08-02 DianChao Lin , Saif Eddin Jabari

Ride-sharing or vehicle-pooling allows commuters to team up spontaneously for transportation cost sharing. This has become a popular trend in the emerging paradigm of sharing economy. One crucial component to support effective ride-sharing…

Computer Science and Game Theory · Computer Science 2022-05-09 Sid Chi-Kin Chau , Shuning Shen , Yue Zhou

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

Line planning in public transport is the strategic problem of selecting lines and their operating frequencies. This problem is important as it defines the passenger service, based on available connections and expected travel times, and…

This study investigates real-time assignment decisions for extraboard transit operators, who are responsible for covering open work due to unexpected events such as driver absenteeism. Efficient usage of extraboard operators is critical as…

Optimization and Control · Mathematics 2026-05-07 Jilin Song , Amer Shalaby , Merve Bodur